The perimeter of the triangle ABC is approximately equal to 35.633 units.
How to determine the perimeter of a triangle
In this problem we find the locations of the three vertices of the triangle and from which we have to calculate the length of each of the three sides. The perimeter is the sum of the three lengths. First, determine the vectors of each side:
AB = (2, - 9) - (- 3, 2)
AB = (5, - 11)
BC = (0, - 10) - (2, - 9)
BC = (- 2, - 1)
AC = (0, - 10) - (- 3, 2)
AC = (3, - 12)
Second, calculate the magnitudes of the three sides:
AB = √[5² + (- 11)²]
AB = √146
BC = √[(- 2)² + (- 11)²]
BC = 5√5
AC = √[3² + (- 12)²]
AC = 3√17
Third, add the three lengths to find the perimeter:
p = √146 + 5√5 + 3√17
p ≈ 35.633
Remark
The statement reports a typing mistake that it would take a triangle for an angle, which is absurd since angles only have one vertex. Correct statement is shown below:
Find the perimeter of Δ ABC to the nearest hundred, given the coordinates of its vertices A(x, y) = (- 3, 2), B(x, y) = (2, - 9) and C(x, y) = (0, - 10).
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What is the length of RT? A 5units B 7units C 8units D 9units
The length of line segment RT is 8 units
How to determine the length of RT?The given triangles are similar triangles
So, we have the following similarity ratio
RS : RT = QC : QY
Substitute the known values in the above equation
4 : RT = 3 : 6
Express as fractions
RT/4 = 6/3
Multiply through by 4
RT = 4 * 6/3
Evaluate
RT = 8
Hence, the length of RT is 8 units
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A new car is purchased for $26, 000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $8, 800?
If the cost of car is $26000 and it depreciates by one half every 7 years, then the cost of car will reach to $8800 after 10 years.
Given that the cost of car is $26000 and it depreciates by one half every 7 years.
We are required to find the number of years after which the cost of car will reach $8800.
Because the method of depreciation is not given in question, so we will apply straight line method of depreciation.
Depreciation is the gradual or permanent decrease in the cost of asset due to passage of time and many factors.
Depreciation of 7 years=26000*R*7
13000=26000*R*7
R=13000/26000*7
=7.14%
The cost of car will be $8800,so the depreciation charged will be 26000-8800=$17200
17200=26000*7.14/100 *N
N=1720000/26000*7.14
=9.2652
Because it is slightly larger than 9 so we can approx it as 10 years.
Hence if the cost of car is $26000 and it depreciates by one half every 7 years, then the cost of car will reach to $8800 after 10 years.
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On a number line, suppose the coordinate of A is 0, and AR = 17. What are the possible coordinates of the midpoint of AR ?
Step-by-step explanation:
The coordinate of A is 0. It is given that AR = 17. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.
Point R is on Right side of A i.e. at coordinate 17
Point R is on Left side of A i.e. at coordinate -17
In both of these cases AR which is the distance from A to R will be 17.
So, if R is on Right side of A, the midpoint of AR would be:
0+17
÷ = 17/2 = 8.5
2
Or if R is on Left side of A, the midpoint of AR would be:
0-17
÷ = -17/2 = -8.5
2
Thus, the possible coordinates of the midpoint of AR are 8.5 and -8.5
6,842 rounded to the nearest thousand
Answer:
7,000
Step-by-step explanation:
6,842 is more than 6,500 so u round to 7,000
HELP I WILL GIVE BRAINLIEST!!!! 14. Select all the situations that could be represented by the expression 40. (-18).
A hot air balloon descends 18 inches per a second for 40 seconds.
A hot air balloon ascends 40 inches per a second for 18 seconds.
Trey withdraws $18 from his checking account once a week for 40 weeks.
Suzanne deposits $18 into her savings account once a week for 40 weeks.
Morty withdraws $40 from his checking account once a month for 18 months.
I think that it is the 2nd one and the 5th one.
I hope that this helps! :)
Pls pls help whoever gets it right gets a crown
Answer: 76b2
Step-by-step explanation: hope this helps!!!!
Answer:
C
Step-by-step explanation:
(-4b)(-19b)
76b^2
PEMDAS
In the diagram below of triangle LMN, O is the midpoint of LN and P is the midpoint of MN. If OP = 31 - 2x, and LM = 38 + 4x, what is the measure of LM?
Answer: LM= ?
If O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, then the measure of LM = 88
As per the question statement, Triangle LMN where O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, we are supposed to find the measure of LM.
As O is the mid point of LN and P is the midpoint of OP the using the Mid point theorem, we can say that in Triangle LMN
[tex]OP=\frac{LM}{2}[/tex]
Substituting values,
[tex]31-2x=\frac{38+4x}{2} \\2(31-2x)=38+4x\\62-4x=38+4x \\8x = 100\\x=12.5[/tex]
LM = 38 + 4x
[tex]LM = 38 + 4(12.5)\\LM=38 + 50\\LM=88[/tex]
Hence value of LM is 88
This question is a classic example of how to solve linear equations.
Linear equations: Linear equations are a combination of constants and variables where the value of variable is calculated using mathematical operations.To learn more about linear equations, click the link below:
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Which term describes a geometric statement that is assumed to be true without proof?
Answer: A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.
Step-by-step explanation:
Hope this helps you! :) have an amazing day! ^-^
I need help please....................
Answer:
14
Step-by-step explanation:
m³ = 0.125
How do I break this down to get the answer
Answer:
m = 0.5
Step-by-step explanation:
Step 1 : Take the cube root of it.
Basically what this means is that you multiply the reciprocal of it to the 0.125
Like this:
m^3 = 0.125 ---------> m = 0.125 (1/3)
Step 2: Solve
m = 0.125 (1/3)
m = 0.5
I hope this helps!
100 points and brainlyiest
ANSWER:
[tex]y=3x+5[/tex]
draw a point at (0,-5). then move up 3 units, and right one unit. draw a pont there. using a ruler, connect the dots and draw arrows on each end to show it continues.
[tex]y=-\frac{3}{2} x+3[/tex]
draw a point at (0,3). move down 3 units, and right 2 units. draw a point there. connect them as before
EXPLANATION:
[tex]y=mx+b[/tex] is the slope-intercept form of an equation, where m is the slope, and b is the y-intercept.
i used desmos, a web application, for the graph
Answer:
y=3x+5
Step-by-step explanation:
14.
Herman is standing on a ladder that is
partly in a hole. He starts out on a rung
that is 6 feet under ground, climbs up
14 feet, then climbs down 11 feet.
What is Herman's final position, relative
to ground level?
Answer:
Step-by-step explanation: His final position relative to ground level should be -3. If he starts out 6 feet under ground that is a negative number. So we have -6. Then he climbs up 14 feet. So we are going to add -6+14 which equals 8. Next it says he climbs down 11 feet. So we have a -11 and we will do 8-11=-3.
So -3 is the answer
Hope this helps.
(3.85 x 103) - (1.4 x 102) In scientific notation I need ASAP plss
Ill give points
Nora has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 155 points for a free movie ticket. What is the least number of visits she needs to make in order to earn a free movie ticket?
Nora needs to visit at least 11 times in order to earn a free movie ticket .
"At least" generally refers to the minimum. Any number greater than the specified number is possible. You can also use "at least" to emphasize or moderate the impact of a statement.An inequality is a relationship that indicates that two numbers or mathematical expressions are not equal when compared.Let the number of visit to the movie theater be " x " .
According to the question She earns 12.5 points for each visit to the movie theater .
Total number of points in " x " number of visit will be [tex]=12.5x[/tex]
She also receives 20 rewards points just for signing up.
Total points will be [tex]=20+12.5x[/tex]
She needs at least 155 points for a free movie ticket which means minimum to minimum she needs 155 points .
[tex]20+12.5x\geq 155[/tex]
On simplifying the above inequality , we get
[tex]12.5x\geq 155-20\\12.5x\geq135\\x\geq 10.8[/tex]
As , visits can't be in point so , on rounding off Nora needs to visit 11 times to the movie theater.
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Simplify the expression.
5
+
4
⋅
(
8
−
6
)
2
Answer:
If the question is 5+4x(8-6)+2,then the answer is 15
Step-by-step explanation:
There are twenty marbles in a jar: some are red, some are
blue. You are blindfolded and choose two marbles. No matter how
you choose, at least one marble is guaranteed to be blue. Is it
possible to figure how many blue marbles are in the jar? If so,
how
many are there?
The number of blue marbles in the jar are 8.
Given, the total number of marbles in the jar = 24.
therefore, total number of all possible outcomes = 24.
Let the number of green marbles in Jar be x.
therefore, the number of favourable outcomes = x.
The probability that the marble drawn is green = x/24
But we have the probability of drawing a green marble = 2/3
x/24 = 2/3
3x = 2 (24)
x = 16
Thus , the number of green marbles in the jar = 16
The number of blue marbles = 24 - 16 = 8
Hence, the number of blue marbles in the jar is 8.
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Your question is incomplete.Please find the missing content below.
There are 24 marbles in a jar out of them some are green and remaining are blue. If a marble is drawn from the jar at random, the probability that the green marble drawn is 2/3.Find the number of blue marbles in the jar.
How many times greater is 700,000 than 70,000?
Answer:
100 times more
In a statistics test, the class average is 76 with a standard deviation of 8. emmy is told that the z-score of her exam score is -1.50. what was emmy's actual score on the exam?
Emmy's actual score in the exam is 64.
What is the Z score of the population?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given,
class average = 76
standard deviation = 8
Z- score = -1.50
The formula of Z-score is -
z = (x-μ)/σ
Where x is the actual score,
μ is the mean,
σ is the standard deviation.
Now putting the values in the formula we get,
-1.50 = (x- 76) / 8
⇒ on solving, we get x = 64
So the actual score of Emmy = 64
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The ratio of the measures of the three sides of a triangle is 9: 7: 5 . Its perimeter is 191.1 inches. Find the measure of each side.
Answer:
81.9 inches, 63.7 inches, 45.5 inches respectively
Step-by-step explanation:
Total number of units = 9+7+5 = 21
21 units = 191.1 inches
1 unit = 191.1/21 = 9.1 inches
9 units = 9.1 x 9 = 81.9 inches
7 units = 9.1 x 7 = 63.7 inches
5 units = 9.1 x 5 = 45.5 inches
a rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. the equation (x 5)x
The length and width of the rectangle are: 10 inches and 5 inches.
What is a rectangle?Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.
Given:
Area of the rectangle = 104 sq. inchesLength of the rectangle is 5 inches more than the width.To find: the length and width of the rectangle.
Finding:
Let the width of the rectangle be 'x'
Then the length of the rectangle = x + 5
Now, area of the rectangle = width (length)
=> 104 = x ( x + 5)
=> x² + 5x - 104 = 0
=> x² + 13x - 5x - 104 = 0
=> (x + 13) (x - 5) = 0
Since the lengths can't be negative, x = 5, i.e., the width of the rectangle = 5 inches
=> Length = 5 + 5 = 10 inches
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Which number represents the length
1/3x +(2x+8) +x=205
Answer: x=59 1/10 x=59.1
Step-by-step explanation:
water main valves should be located: select one: a. at infrequent intervals in a grid system. b. so that they correspond with landmarks such as intersections. c. so that they correspond with areas most likely to fail in the system. d. at frequent intervals in a grid system.
Water main valves should be located at frequent intervals in a grid system.
What is a water valve?
The flow and temperature in pipes and plumbing fittings are controlled by water valves. The valves regulate steady flow and volume when they are correctly placed and used. Water valves are made of brass, plastic, stainless steel, bronze, cast iron, and galvanised pipe, among other materials.
The master cutoff valve for the house will typically feature a wheel (a gate valve) or a straight handle (ball valve). The wheel on gate valves (seen on the right) is turned clockwise until the water is shut off. To turn off the water, turn the handle of a ball valve a quarter turn in the opposite direction. Every house has two main water shutoff valves: one inside and one near the intersection of your property and the street.
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If x - 4y = -10 and 2x + 9y= -3 are true equations, what would be the value of 3x+5y?
The value of the expression 3x + 5y will be 47.
How to calculate the equation?It should be noted that an equation is used in Mathematics to show the relationship the exist between different variables.
The given equations are:
x - 4y = -10 ...... i
2x + 9y= -3 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x - 8y = -20 ...... iii
2x + 9y = -3. ..... iv
Subtract equation iv from iii
(2x - 2x) (-8y - 9y) = (-20 + 3)
-17y = -17
Then, we have to divide by the coefficient.
y = -17/-17
y = 1
Since x - 4y = -10.
We will then put the value of y = 1 into the equation
x - 4(1) = 10
x = 10 + 4
x = 14
Therefore, 3x + 5y will be:
=3(14) + 5(1)
= 42 + 5
= 47.
In conclusion, the value of 3x + 5y is 47.
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Determine the correct METRIC length of the cockroach in this image.
A 1.0 in
B 2.5 cm
C 7.5 cm
D 3.0 in
Answer:
I think 7.5 answer is right
Answer:
2.5 cm.
Step-by-step explanation:
7.5 - 5
= 2.5
Over the last 20 years, technology has improved our access to information and changed the way we communicate. A letter that would have taken days or weeks to arrive can now be sent as an email and reach its recipient almost instantly.
In what ways does algebra act as a tool to improve communication? How does algebra affect how people can learn from each other?
Algebra is a universal language used in communicating ideas, and it therefore improves how people can teach or learn ideas from others
What is algebra?Algebra is the mathematics representation of ideas, problems, situation or solutions using mathematical expressions.
Algebra makes use of numbers, variables, and operators to give value or convey information.
Algebra is therefore an indispensable communication tool that is used in all walks of life to improve understanding of disseminated information, from the original source, to the intended destination and beyond, without, losslessly losing any substance, value or understanding.
With algebra, a doctor speaking a foreign language in a remote location can perform complex and emergency operational procedures based on guidance from another doctor communicating through the internet to his exact location and a local robot that is able translate verbal information into action based on algebraic relationships.
Algebra allows the foreign doctor to obtain or look for specific health metrics and indicators.
It allows the foreign doctor to understand the cost implications as well as to avoid dangerous situations and risk factors which are best specified by algebraic relation, that is understandable to all languages, given that it is based on numbers and variables.
Algebra therefore is one of the main means through which one person can teach another or communicate ideas.
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help me !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a. 1.37
b. 1.37
c. 1.37
all of them are 1.37 or they are all 137
Step-by-step explanation:
ASAP help please!!!
Answer:
linear
Step-by-step explanation:
please help ill give points !!!!!! porfa
Answer:D
Step-by-step explanation:
Answer:B (8)
Step-by-step explanation:
OVER 50 means anything higher than 50, NOT OLDER THAN 70 means anything that's 70 or lower. So we have a range of 51-70. Now, when we look at the diagram, we can tell that there are 4 people who are 51-60 years old which fits to the range we are looking for. Same with the 4 people in the 61-70 range.
below is a stem and leaf plot from minitab of the number of sick days for employees. find the median.
Median for the number of sick days of the employees is 5
Define Quartile?
A statistical phrase that splits the data into four quarters is called a quartile. On the number line, it essentially separates the data points into a data set into four quarters. It essentially serves as an extended middle. Data is divided into two equal parts by the median, and into four parts by the quartiles.
Solution:
Stem and leaf plot from Minitab of the number of sick days of the employees is,
2, 3, 3, 5, 7, 10, 10, 7, 5, 3, 2
Arrange the numbers in the ascending order,
2, 2, 3, 3 ,3, 5, 5, 7, 7, 10, 10
Here,
[tex]number\;of\;data=10[/tex]
We know that the Quartile 2 is spilt the data in to two like median,
[tex]Q_{2}=(\frac{n+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{11+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{12}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=6 ^{th\;term}[/tex]
Therefore, the 6th term is, 5
Median = 5
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PLS HELP ME
SHOW WORK
Answer: Equation: 3x-2=4
Solutoin: x=2
Step-by-step explanation:
[tex]x+x+x-1-1=1+1+1+1\\3x-2=4\\3x-2+2=4+2\\3x=6[/tex]
Divide both parts of the equation by 3:
[tex]x=2[/tex]