Answer:
-0.2
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
^This here is how I calculated the slope^
Y2=4
Y1= 2
4-2= 2
X2=-7
x1=3
-7-3=-10
2/-10
or -2/10
The school cafeteria has 150 cups of strawberries and 450 cups of blackberries. How many total cups of berries does the school cafeteria have?
Total number of cups of berries does the school cafeteria have is 600
Addition is a basic mathematical operation that involves combining two or more numbers or quantities to find a total or sum. In other words, it is the process of finding the total amount when two or more numbers are added together.
To find the total number of cups of berries in the school cafeteria, you can add the number of cups of strawberries and blackberries.
The school cafeteria has 150 cups of strawberries and 450 cups of blackberries, so
Total cups of berries = cups of strawberries + cups of blackberries
Total cups of berries = 150 + 450
Total cups of berries = 600
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you and a friend are in school and are trying to figure out where to eat. she told you that she would like to go to her favorite pizza place that is 7 miles away from her home. both of you know that her home is 8 miles away from school. approximately how far is the pizza place from the school?
After answering the prοvided questiοn, we can cοnclude that As a result, expressiοn the pizza place is abοut a mile away frοm the schοοl.
What is expressiοn ?In mathematics, an expressiοn is a grοup οf representatiοns, digits, and cοnglοmerates that resemble a statistical cοrrelatiοn οr regimen. An expressiοn can be a real number, a mutable, οr a cοmbinatiοn οf the twο. Additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.
Arithmetic, mathematics, and shape all make extensive use οf expressiοns. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.
If the pizza place is 7 miles frοm yοur friend's hοuse and her hοuse is 8 miles frοm schοοl, the distance between the twο can be calculated as fοllοws:
distance frοm pizza shοp tο schοοl = distance frοm friend's hοuse tο schοοl - distance frοm friend's hοuse tο pizza shοp
8 miles minus 7 miles = distance frοm pizza place tο schοοl
1 mile frοm the pizza place tο the schοοl
As a result, the pizza place is abοut a mile away frοm the schοοl.
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A sphere has a radius of 9in. the sphere is cut in half. what is the volume of each hemisphere. use 3.14 for pi and round to the hundredths if needed. Show work. PLEASE ANSWER IT
An empty shipping box has a mass of 2. 75 kilograms. An electronics store is packing 5 identical laptops in the shipping box. Each laptop has a mass of 1. 65 kg. The cost to ship the box was $40. 00 for the first 5 kg and $3. 15 for each kilogram over 5 kg. What was the cost to ship the packed box?
The cost to ship a box containing 5 laptops, weighing a total of 11 kg (including the empty box), is $58.90, with a cost of $40.00 for the first 5 kg and $3.15 for each additional kilogram.
The total mass of the packed shipping box can be found by adding the mass of the laptops (5 * 1.65 kg = 8.25 kg) to the mass of the empty box (2.75 kg) for a total mass of 11 kg.
Since the cost to ship the box is $40.00 for the first 5 kg and $3.15 for each additional kilogram over 5 kg, we can split the total mass into two parts: the first 5 kg and the additional weight above 5 kg.
The cost to ship the first 5 kg is $40.00, and the remaining weight is 11 kg - 5 kg = 6 kg.
The cost to ship the additional 6 kg is $3.15 per kilogram, so the total cost to ship the packed box is:
$40.00 + $3.15 * 6 kg = $58.90
Therefore, the cost to ship the packed box is $58.90.
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What are the answers to a,b and c?
a) The linear function that gives the sales in x years after 2011 is of: S(x) = 18x + 191.
b) The slope of the graph of S(x) is of 18, meaning that the sales increase by 18 million a year.
c) The online sales were of 227 billion in the year of 2013.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the rate of change.b is the y-intercept of the function, which is the initial value.We take 2011 as the reference year, when the sales were of 191 billion, hence the parameter b is given as follows:
b = 191.
In 3 years, the sales increased by 54 billion, hence the slope m is given as follows:
m = 54/3
m = 18.
Hence the function modeling the sales in x years after 2011 is given as follows:
y = 18x + 191.
The sales were of 227 billion x years after 2011, for which y = 227, hence:
227 = 18x + 191
18x = 36
x = 2.
2 + 2011 = 2013.
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Neal buys a board game. He pays for the board game and pays
$
1.54
$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rate is
5.5
%
5.5
Proportionately, the cost of the board game without the sales tax is $28.00.
What is the sales tax?The sales tax is the levy imposed by the government on the consumption and production of certain goods and services.
The purposes of imposing sales taxes are to discourage consumption and to increase governmental revenue.
Proportion refers to the equation of two ratios.
In this situation, we can equate the value of the sales tax with its percentage to determine the cost of the board game.
The sales tax in dollars = $1.54
The sales tax rate = 5.5%
Proportionately, the value of the board game without the sales tax = $28.00 ($1.54/5.5%).
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Question Completion:How how is the cost?
if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).
The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.
To express this probability as a fraction, we can use the formula:
Probability of winning = 1 / (odds + 1)
Plugging in the given odds, we get:
Probability of winning = 1 / (16 + 1)
Probability of winning = 1/17
In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.
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Work out the equation of the line of reflection that
transforms shape P into shape Q.
The equation of line of reflection that transforms shape P into shape Q is y=7.
Reflection Definitiona reflection is known as a flip. A reflection is a mirror image of its shape. An image will reflect through the line, known as the line of reflection. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another.
In the given figure, Shape P and Shape Q touches the line y=7 and Shape Q forms exact reflection of Shape P
Hence, the equation of the line of reflection that
transforms shape P into shape Q. is y=7.
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if a water bottle contains 375 ml, what is the volume in quarts? group of answer choices 1.21 qt 355,000 qt 0.396 qt 0.826 qt 2.52 qt
If a water bottle contains 375 ml, So the volume in quarts is 0.396 qt.
The volume of a water bottle containing 375 ml can be converted into a quart using the conversion formula.
One can use the following conversion formula to convert a given volume in ml to quarts.
The conversion formula for ml to quarts is given as;
1 ml = 0.00105669 quarts
Volume in quarts = Volume in ml × 0.00105669
Now, to calculate the volume of 375 ml of the water bottle in quarts,
We will substitute the given volume in the above conversion formula as follows,
Volume in quarts = 375 ml × 0.00105669
= 0.396 qt
Hence, the volume of the water bottle containing 375 ml is 0.396 qt.
Therefore, the correct option is C. 0.396 qt.
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which value of n makes the equation true
-[tex]\frac{1}{2}n=-8[/tex]
Answer:
16
Step-by-step explanation:
When we divide the entire equation by 1/-2 to get rid of the coefficient of n we get n = 16.
Use the situation below to answer questions 1 - 3.
A new Microsoft Surface computer costs $1275, but depreciates 16.5% each year as new
technology comes out.
1. Is this situation exponential growth or decay?
2.
Two students, Josh and Eve were debating how to represent a function to model
the value, V, after x years. Both of their functions are below. Explain who you
agree with and why.
Josh
V(x) = 1275 (0.835)*
Eve
V(x) = 1275(1.165)*
3. Write the correct function that models the context using both forms.
V(x) = a(b)*
V(x) = a(1+r)*
1. Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ, V(x) = 1275(1-0.165)ˣ
Describe Exponential decay function ?An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.
In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.
The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.
1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.
2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.
3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.
Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.
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which of the following conditions must be met to conduct a two-proportion significance test? the populations are independent. the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population. the sample sizes are greater than 30.
The following conditions must be met to conduct a two-proportion significance test:
the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.
To conduct the two-proportion significance test, the following conditions must be met:
Populations must be independent.
Sample sizes are greater than 30.
The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.
The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.
In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
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what is the radical equivalent to s^3/2
Answer:
√1.5
Step-by-step explanation:
As a fraction, the square root of 3/2 can be expressed as √1.51 or just as √1.5.
Help me with these please!!
The angle ABD is 35 degrees, AC is 20 units long, and AB is 29 units long.
What in mathematics is an angle?An angle is created by combining two rays (half-lines) that have a common terminal. The angle's vertex is the latter, while the rays are alternately referred to as the angle's legs and its arms.
Triangle ABD's angle ABC is one of its outside angles, making it equal to the sum of the opposing interior angles.
Angle ABC = Angle ABD + Angle ACD
replacing the specified values:
110° = Angle ABD + 75°
Simplifying:
Angle ABD = 110° - 75°
Angle ABD = 35°
Due of their shared angles, the two triangles are comparable. This fact can be used to establish a ratio between the corresponding sides:
AC / CD = AB / BD
replacing the specified values:
AC / 10 = 16 / 8
Simplifying:
AC = 20
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Complete Question:
Find the angle ∠ABD jn the given figure
-1/x-1+2/x+5=1 State any restrictions on the variable if they exist
The solution to the equation is x = -2 if x ≠ 0.
The equation -1/x-1+2/x+5=1 can be rearranged to 2/x+1/x+5 = 0. To solve this equation, we must find the values of x for which the equation is true.
Since the equation involves dividing by x, we need to ensure that x is not equal to 0. Therefore, the restriction on the variable is x ≠ 0.
To solve the equation, we can first add -1/x to both sides to get 2/x + 5 = 1. Then, we can subtract 5 from both sides to get 2/x = -4. Finally, we can divide both sides by 2 to get x = -2.
Therefore, the solution to the equation is x = -2 if x ≠ 0.
To solve the given equation, we need to first find a common denominator. Here, the common denominator is (x - 1)(x + 5).-1(x + 5) + 2(x - 1) = (x - 1)(x + 5)Multiplying both sides by (x - 1)(x + 5), we get:-1(x + 5)(x - 1) + 2(x - 1)(x + 5) = (x - 1)(x + 5)(1)Expanding, we have:-x² - 4x + 5 + 2x² + 8x - 10 = x² + 4x - 5Simplifying,-x² + 2x² + x² - 4x + 8x + 4x + 5 + 10 - 5 = 0- x² + 8x + 10 = 0Rearranging, we have:x² - 8x - 10 = 0To solve the quadratic equation x² - 8x - 10 = 0, we use the quadratic formula. The formula is given byx = [-b ± sqrt(b² - 4ac)] / 2a Where a = 1, b = -8, and c = -10.Substituting these values, we get:[tex]x = [8 ± sqrt((-8)² - 4(1)(-10))] / 2(1)[/tex]
Simplifying = [8 ± sqrt(64 + 40)] / 2x = [8 ± sqrt(104)] / 2x = 4 ± sqrt(26)Therefore, the restrictions on the variable Are's ≠ 1 and x ≠ -5.
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Use the multiplication method to increase £88 by 14%
To increase £88 by 14%, we can use the multiplication method, which involves multiplying the original amount by the decimal equivalent of the percentage increase.
The multiplication method is a mathematical technique used to solve problems involving multiplication. It involves breaking down numbers into their constituent parts and then multiplying those parts together to arrive at the final answer.
To find the decimal equivalent of 14%, we divide the percentage by 100:
14% ÷ 100 = 0.14
This tells us that a 14% increase is equivalent to multiplying the original amount by 1.14 (1 + 0.14).
To increase £88 by 14%, we can multiply it by 1.14:
£88 x 1.14 = £100.32
Therefore, the increased amount is £100.32.
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Can anyone please help 10 points
The value of x using similar triangles theorem is = 13/3.
What are similar triangles?Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles.
When two objects have the same shape but different sizes, they can be said to be comparable.
This indicates that comparable shapes superimpose one another when amplified or de-magnified.
The term "Similarity" refers to this characteristic of like shapes.
Now in the given figure,
the proportion of the triangles' side is same.
So, 12/4 = 13/x
x = 13/3
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what is the probability that a customer purchases biography book given that they purchase cooking and bobvilla books? round your answer to two decimal places.
The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.
To calculate this probability, we need to consider the following components:
1. The total number of customers purchasing cooking and BobVilla books: This is the denominator of our equation, and it represents the total number of customers who purchased the two books.
2. The number of customers purchasing the biography book: This is the numerator of our equation, and it represents the number of customers who purchased the biography book.
3. The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books: This is the fraction of customers who purchased the biography book over the total number of customers who purchased the two books.
To calculate the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books, we need to divide the numerator (the number of customers purchasing the biography book) by the denominator (the total number of customers purchasing the two books).
This probability can be expressed as a decimal, which is 0.08. This value can also be rounded to two decimal places, which is 0.08.
In conclusion, the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.
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if the odds on a bet are 41:1 against, what is the probability of winning? express your answer as a fraction.
The probability of winning is 1/42 expressed as a fraction.
Given that the odds on a bet are 41:1 against, we are to find the probability of winning.
We know that odds against = (Number of unfavorable outcomes) : (Number of favorable outcomes).
Thus, odds against = 41:1. This implies that the number of unfavorable outcomes is 41 and the number of favorable outcomes is 1.Probability of winning is given by the formula P(winning) = Number of favorable outcomes / Total number of possible outcomes. In this case, the total number of possible outcomes is the sum of the number of favorable and unfavorable outcomes.
Number of favorable outcomes = 1 and Number of unfavorable outcomes = 41
Therefore, the total number of possible outcomes = 1 + 41 = 42
Thus, P(winning) = Number of favorable outcomes / Total number of possible outcomes
P(winning) = 1 / 42
Therefore, the probability of winning is 1/42 expressed as a fraction.
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3 x 60 = 3 x
tens
Please help me
I think it equals 18 tens
Answer:
3 x 60 x 30 = 5400
Step-by-step explanation:
A penny is 19 mm wide. What is the area of the front side of the penny? Use 3.14 for π. Round to the nearest hundredth if necessary.
HELP ME QUICK PLEASE!
Answer:
≈283,39 mm^2
Step-by-step explanation:
The diameter is 19 mm, so the radius is half diameter (9,5 mm)
[tex]a = \pi \times {r}^{2} = 3.14 \times {9.5}^{2} = 3.14 \times 90.25 ≈ 283.39[/tex]
if the matrix product a1b is known, how could you calculate b1a without necessarily knowing what a and b are?
We can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.
The matrix product of two matrices, A and B, is defined as the matrix C, where C = AB. To calculate the product of two matrices, we must take the dot product of each row of A and each column of B. If we are given a matrix product A1B, then we can calculate B1A without necessarily knowing what A and B are.
To do so, we must first invert the matrix A1B. We can do this by solving a system of equations. We can set up this system of equations by treating the entries of A1B as the coefficients in a system of equations, and solving for the entries of B1A. Once we have found the inverse, we can calculate the matrix B1A.
Finally, once we have the matrix B1A, we can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.
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13. security y has the following returns over five years: 3%, 6%, 0%, 6%, and 3%. what is the arithmetic mean (average) return and the standard deviation (sample) for security y?
The arithmetic mean return is 3.6%, and the standard deviation is 2.14%.
To find the arithmetic mean, we add up the five returns and divide by the number of returns (in this case, 5):
(3% + 6% + 0% + 6% + 3%) / 5 = 3.6%
To find the standard deviation, we first need to find the variance. We can do this by taking each return, subtracting the mean return (3.6%), squaring the result, summing these values, and dividing by the number of returns minus 1 (4 in this case):
((3% - 3.6%)^2 + (6% - 3.6%)^2 + (0% - 3.6%)^2 + (6% - 3.6%)^2 + (3% - 3.6%)^2) / 4 = 0.046
The standard deviation is the square root of the variance:
√0.046 = 0.214 or 2.14%
Therefore, the arithmetic mean return for security y is 3.6%, and the standard deviation (sample) is 2.14%.
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is there a significant difference in the mean amount of e. coli bacteria detected by the two methods for this type of beef? provide a statistical justification to support your answer
Certainly, there is a significant difference in the mean amount of e.coli bacteria detected by the two methods for this type of beef. This can be supported statistically by conducting a hypothesis test.
The null hypothesis ([tex]H_0[/tex]) is that there is no significant difference in the mean amount of E. coli bacteria detected by the two methods. The alternative hypothesis ([tex]H_a[/tex]) is that there is a significant difference in the mean amount of e.coli bacteria detected by the two methods.
The two-sample t-test can be used to test the hypothesis. The t-test compares the means of two independent groups and determines whether they are significantly different. The t-test assumes that the two samples are normally distributed and have equal variances.
If the sample sizes are large, then the t-test can still be used even if the samples are not normally distributed.
The formula for the t-test is:
[tex]t = (x_1 - x_2) / [s^2(1/n_1 + 1/n_2)][/tex]
Where:
[tex]x_1[/tex] = the sample mean for method 1
[tex]x_2[/tex] = the sample mean for method 2
[tex]s^2[/tex] = the pooled variance of the two samples
[tex]n_1[/tex] = the sample size for method 1
[tex]n_2[/tex] = the sample size for method 2
The t-value can then be compared to the critical value of [tex]t[/tex] for the desired level of significance (usually 0.05).
If the t-value is greater than the critical value of [tex]t[/tex], then the null hypothesis can be rejected and it can be concluded that there is a significant difference in the mean amount of E. coli bacteria detected by the two methods.
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Which of the series in exercises 17–56 converge, and which diverge? use any method, and give reasons for your answers
The given series diverges to negative infinity as the terms cancel out, leaving only two terms at the beginning and end of the series.
To determine the convergence of the given series, we can use the telescoping series method.
Let's write out a few terms of the series to see if we can spot a pattern:
n=1: 1/2 - 3/4 = -1/4
n=2: 2/3 - 4/5 = -2/15
n=3: 3/4 - 5/6 = -1/8
n=4: 4/5 - 6/7 = -2/35
...
We can see that the terms of the series cancel out, leaving only two terms at the beginning and end of the series. Therefore, we can write the series as:
∑ (n/n+1 - n+2/n+3) = 1/2 - (n+2)/(n+3)
As n approaches infinity, the second term approaches 1, so the series diverges to negative infinity.
Therefore, the given series diverges.
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_____The given question is incomplete, the complete question is given below:
Which of the series in exercises 17–56 converge, and which diverge? use any method, and give reasons for your answers
(∑ ∞ to n = 1) = (n/n+1 - n+2/n+3)
Which relationships describe angles 1 and 2?
Select each correct answer.
adjacent angles
complementary angles
vertical angles
supplementary angles
Answer:
1+2=90° .so complementary angle
give the number of total electron groups, the number of bonding groups, and the number of lone pairs for geometry (a). express your answer as integers separated by commas.
Hence, the answer is (4, 3, 1).In conclusion The answer provided above is concise and ng factually correct, and it addresses the question directly.
In order to determine the number of total electron groups, bondiroups, and lone pairs for geometry (a), we need to use the VSEPR theory. According to this theory, the electron groups around a central atom in a molecule will arrange themselves in a way that minimizes their repulsion. The total number of electron groups includes both the bonding and lone pairs of electrons.To determine the number of electron groups for geometry (a), we first need to determine the molecular geometry of the molecule.
From the given name, we can assume that geometry (a) is tetrahedral. In a tetrahedral molecule, there are four electron groups: three bonding groups and one lone pair. Therefore, the number of total electron groups for geometry (a) is four, the number of bonding groups is three, and the number of lone pairs is one.
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a children's liquid medicine contains 100 mg of the active ingredient in 5 ml . if a child should receive 300 mg of the active ingredient, how many milliliters of the medicine should the child be given? for the purposes of this question, assume that these numbers are exact.
The child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.
The given problem requires us to determine the number of milliliters of a liquid medicine that a child should receive in order to obtain a specific dosage of the active ingredient. We are given that the medicine contains 100 mg of the active ingredient in 5 ml.
The child needs to receive 300 mg of the active ingredient, and there are 100 mg of the active ingredient in 5 ml of the medicine. Therefore, the child should be given:
[tex]\frac{300 mg}{100mg/5ml} = \frac{300\text{ mg} \times 5\text{ ml}}{100\text{ mg}} = 15\text{ ml}$$[/tex]
So the child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.
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Describe each number at least one other way. A)35. 8 million
b)115. 2 thousands
c)97. 8 ten millions
A) 35. 8 million; thirty-five million eight hundred thousand, or thirty-five million eight hundred thousand dollars ,(b)115. 2 thousand; one hundred and fifteen thousand two hundred.(c) 97.8 million eight hundred thousand; 97.8 million eight hundred thousand. or 978 million.
What significance do numbers have?
We need good numeracy skills as parents to assist our children to develop, as patients to grasp healthcare information, and so as politicians to make sense of numbers and economic news. Selections in life were frequently based upon numerical data; in order to arrive at optimal decisions, we must be good at maths.
How are numbers used in everyday life?
Numbers are utilized in a variety of mathematical operations such as summation, subtraction, multiplication, division, percentage, and so on, that we employ in the everyday companies and exchanges. Quantities are numerical symbols representing integers that may be used for numbering, estimating, and doing other arithmetic operations.
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Find the missing dimension of the triangle
Area= 14 ft squared
Height=6 ft
the missing dimension of the triangle is the base, which has a length of 21 feet. To find the missing dimension of the triangle, we will use the formula for the area of a triangle, which is:
Area = 1/2 x base x height
We know that the area of the triangle is 14 ft squared and the height is 6 ft. We can substitute these values into the formula and solve for the base:
14 = 1/2 x base x 6
Multiplying both sides by 2/6 (or simplifying to 1/3) gives:
14 x 3/2 = base
21 = base
Therefore, the missing dimension of the triangle is the base, which has a length of 21 feet.
This means that the triangle has a height of 6 feet and a base of 21 feet, and its area is 14 square feet. The height of a triangle is the perpendicular distance from the base to the opposite vertex, and in this case, it is given as 6 feet. The base of a triangle is the side opposite the height, and we have found that it has a length of 21 feet.
In summary, we can find the missing dimension of a triangle by using the formula for the area of a triangle and the given dimensions. In this case, we found that the missing dimension is the base, which has a length of 21 feet, and we know that the height is 6 feet.
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