Answers
Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,
then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)
Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)
How do you calculate a triangle's third side?
Different Methods to Determine a Triangle's Third Side?
Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.
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Related Questions
A web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high quality version is 4.7 MB. Yesterday, the high quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 3335 MB. How many downloads of the standard version were there?Number of standard version downloads: ?
Answers
Answer: 529.3 downloads
Explanation:
Standard version size = 2.1 MB
High quality version = 4.7 MB
The high-quality version was downloaded twice as often as the standard version
H = 2 S
The total size downloaded for the two versions = 3335 MB
H + S = 3335
We have the system:
H = 2 S (a)
H + S = 3335 (b)
Put A into B
(2S ) + S = 3335
3S = 3335
S= 3335/3
S= 1,111.67 MB
Divide the total MB of standard versions by the size of each standard version.
1,111.67 / 2.1 = 529.3 downloads
Which is the order from least to greatest of the following: 4/3, 0.8, 1/5, 30%?
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Answer:
1/5, 30%, 0.8, 4/3
Ken charges his neighbors $17.00 to wash their car. How many cars must he wash next summer if his goal is to earn at least$1800?
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Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:
[tex]17x=1800.[/tex]Solving the above equation for x, we get:
[tex]x=\frac{1800}{17}.[/tex]Rounding up to the nearest whole number we get:
[tex]x\approx106.[/tex]Answer: [tex]106.[/tex]which of the following additional statements would you need to prove these two triangles are by SAS similarity?
Answers
∠I ≅∠L
1) Given that the triangles are similar, then we can write:
[tex]\begin{gathered} \frac{KL}{HI}=\frac{JL}{GI} \\ \frac{18}{12}=\frac{27}{18}\text{ =}\frac{3}{2} \end{gathered}[/tex]Notice that the sides are proportional to k=3/2.
2) Since we need to prove that these triangles are similar under SAS -Side, Angle Side, examining the picture we can state that one of their corresponding angles are congruent so
[tex]\begin{gathered} \angle I\cong\angle L \\ \end{gathered}[/tex]3) Having one of these angles as congruent would fit to prove that these triangles are similar by SAS similarity.
Answer:
∠I ≅∠L
Step-by-step explanation:
Part of the graph of the function f(x) = (x + 4)(x - 6) isshown below.Which statements about the function are true? Selecttwo optionsThe vertex of the function is at (1,-25).6The vertex of the function is at (1,-24).The graph is increasing only on the interval -4
Answers
The vertex of the function is (1, -25) Correct
Because
f(x) = (x + 4)(x - 6)
Substitution
-25 = (1 + 4)(1 - 6)
Simplification
-25 = (5)(-5)
Result
-25 = -25 As both sides of the equation are equal this option is true
5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis
Determine if the table shows a proportional relationship. x 42.5 29.2 69.4 y 21.25 14.6 34.7 Yes, it is proportional because the ratios for y over x are all equivalent to one half. Yes, it is proportional because the ratios for y over x are all equivalent to one third. No, it is not proportional because 21.25 over 42.5 is not equal to 29.2 over 14.6. No, it is not proportional because 42.5 over 21.25 is not equal to 34.7 over 69.4.
Answers
Yes, it is proportional because the graph of these coordinates is a straight line and the ratios for [y] over [x] are all equivalent to one half.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A straight line represents a proportional relationship. Mathematically -
y = kx + c
(y - c)/x = k [k is constant]
or
y = kx
k = y/x [k is constant]
Given is the following data -
[x] 42.5 29.2 69.4
[y] 21.25 14.6 34.7
In order to find if the given coordinates represent proportional relationship, plot these coordinates on graph. If the by joining the coordinate points, we get a straight line, then it represents a proportional relationship. Graph is attached with the answer. It can be seen that its graph is a straight line and hence represents a proportional relationship.
Now, the ratio of [y] by [x] -
m = (21.25 - 14.6)/(42.5 - 29.2) = 6.65/13.3 - 0.5 = 1/2
Therefore, we can say that, Yes, it is proportional because the graph of these coordinates is a straight line and the ratios for [y] over [x] are all equivalent to one half.
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Answer: Yes, it is proportional because the ratios for y over x are all equivalent to one half.
Step-by-step explanation:
I did the test. :)
Two angles are complementary. One angle is 4° less than four times the other angle. Find the measures of the angles.
Answers
Answer:
one of the angles is 48 degrees the other is 42 degrees
Step-by-step explanation:
Complementary is 90
45 + 45 = 90
48 +42=90
What is the area of the rectangle with verticals at A(-4,0), B(-3,1) C(0,-2) and D(-1,-3)? Use the distance formula to find the length of segment AB (the base), and Segment BC (the height) Hint A=bh
Answers
The area of the rectangle would be 4.90 units which is shown in the given graph.
What is the area of rectangle?The area of a rectangle is defined as the product of the length and width.
The rectangle is given which has:
verticals at A(-4,0), B(-3,1) C(0,-2) and D(-1,-3)
The length of segment AB = √ (-3 - (-4))² + (1 - 0)² = √ (1 + 1) = √2
The length of segment BC = √ (-3 - 0)² + (1 - (-2))² = √ (9 + 3) = √12
The area of the rectangle = length of segment AB x length of segment BC
The area of the rectangle = √2 x √12
The area of the rectangle = √24
The area of the rectangle = 4.90 units
Thus, the area of the rectangle would be 4.90 units
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A pie weighs 500g. jamie cuts it into 4 slices. the largest slice weighs the same as the other 3 combined. what is the weight of the largest piece of pie?
Answers
The weight of the largest piece of pie is 250 gram.
How to calculate the weight?Let the weights of others be illustrated as x.
Therefore, the weight of the largest weight is the addition of the others weight. This will be:
= x + x + x = 3x
Therefore, the weights will be:
3x + x + x + x = 500
6x = 500.
Divide
x = 500 / 6
x = 83.33.
The larger weight will be:
= 3x
= 3 × 83.33
= 250
The pie weights 250g.
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Which of the following is not true? 1/2 m is equal to 500 mm1000 mg is equal to 1 g1 mg is equal to 1 ml
Answers
To solve the question we would need to state some facts.
1) In measurements, there are one thousand millimeters in a meter.
[tex]\therefore\frac{1}{2}\text{metre}=500\text{milimetres}[/tex]2) Also one thousand milligrams equals one gram
3) However one milligram is not equal to one milliliter
Answer: 1mg is equal to 1ml is not true
Alec has a cherry tree in his yard. When he first planted it, the tree was 40 feet tall. Now it is 76 feet tall. What is the percent of increase in the height of the tree?
PLEASE HELP
Answers
Answer:
90%
Step-by-step explanation:
To find the percent of increase in the height of the tree, we need the change of the height and the original height (40 feet)
The change of height = 76 - 40 = 36 feet
Now, we need to divide the change by the original height to find the percent of increase.
36/40 = 9/10
9/10, which is then 90%.
100 POINTS Which statement about this figure is true?
It has no rotational symmetry.
It has rotational symmetry with an angle of rotation of 90°.
It has reflectional symmetry with four lines of symmetry.
It has point symmetry
before you answer, just know it does have rotational symmetry, just not 90° so A and B are out. i'm just stumped about C and D
Answers
Answer:
It has reflectional symmetry with four lines of symmetry.
Step-by-step explanation:
======================================================
Explanation:
Choice A is false since it does have rotational symmetry. See choice B.
Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.
Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well. Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.
Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.
Formula to work out the surface area of half a cylinder
Answers
Formula to work out the Total surface area of half-cylinder = [tex]\pi rh + \pi r^{2} + 2rh[/tex]
To find:
Formula to work out the surface area of half a cylinder
Solution:
The surface area of a semi-cylinder can be calculated by adding half the curved area of the cylinder to the area of the two semi-circles and the area of the rectangular section below. The formula for the surface area of a semi-cylinder is given by: Total surface area of
Total surface area of a half-cylinder = (1/2) × curved area of cylinder + 2 × area of semi-circle + area of base of cylinder.
total surface area of a half-cylinder = [tex]\pi rh+\pi r^{2} +2rh[/tex]
where r = radius of cylinder
[tex]\pi[/tex] = 3.14 or 22.7 cm
h = height of cylinder
(Or) We can find Total surface area of half cylinder as, Total surface area of half cylinder ÷ 2
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The domain of the given function is ____ (use integers of fractions for any numbers in the expression.)f(z) = 5z²- 6z+2 —————- 6z² +5
Answers
Given:
[tex]f(z)=\frac{5z^2-6z+2}{6z^2+5}[/tex]Required:
To find the domain of the given function.
Explanation:
Now consider
[tex][/tex]what do all the captain codes of ethnics have in common ?A.they all identify four or ethnic or principles of accounting B.they all spend hundreds of pages covering confidentiality C.they all go into great detail on the responsibilities of accountants D. they all separate accounting principles into three categories (just answer)
Answers
An accountant’s ethical code of conduct represents the moral values, principles, and rules that accountants should have.
The ethical codes of conduct of AICPA and IFAC are the two main codes most countries adopt to guide their members on how to deal with accounting information from an ethical perspective.
The fundamental principles within the Code – integrity, objectivity, professional competence and due care, confidentiality, and professional behavior – establish the standard of behavior expected of a professional accountant (PA) and it reflects the profession’s recognition of its public interest responsibility.
The common thing in all accounting codes of conduct is that "they all go into great detail on the responsibilities of accountants."
Therefore, the correct option is OPTION
Comparing and Scaling Rates: Investigation 2.3 Homework 1. Keeley buys songs from a music website. She buys 35 songs for $26.25. What is the price per song? a. Complete the table. b. Lucius and Javier discuss how to write an equation relating price and number of songs. Lucius writes the equation n = 0.75C. Javier writes the equation C = 0.75n. Do you agree with Lucius or with Javier? Use the information from parts (a) to explain. 2. For each situation, find a unit rate and write an equation relating the two quantities. a. 3 dozen apples for $4.50 b. 30 bottles of water for $4.80 c. 24 ounces of mozzarella cheese for $2.88 Number of Songs, n 35 50 1 70 Cost, C $26.25 $3 $15
0.75
37.50
cost
dozen
= 4.50/3 = $1.50 / dozen
cost/bottles
2 3. Which of these items is the better buy? a. an 8-pack of glue sticks for $3.99 or 1 glue stick for $.54 b. a 12-pack of tape for $2.50 or 1 roll of tape for $.19 c. a 100-pack of pencils for $4.88 or 1 pencil for $.05 d. a 50-pack of paper clips for $.89 or a 25-pack of paper clips for $.45.
Answers
Answer:
Use the information from parts a
Step-by-step explanation:
in recent years the state of alaska issued license plates consisting of 7 characters. the first three characters are the letters of the alphabet excluding i, o, and x. the last four characters are the numeral digits. how many different license plates can be issued using this configuration (with repetition)?
Answers
121670000 different license plates are possible.
A license plate consists of 7 characters.
The first 4 characters are numerals from 0 to 9.
each character can be in 10 ways
so possible ways = 10 * 10 * 10 * 10 = 10000
The last 3 characters are letters excluding I, O, and X.
Each character can be in 26 - 3 = 23 Ways
Possible ways = 23 *23 * 23 = 12167
Number of possible different license plates = 10000 * 12167
= 121670000
What is car registration ?
Motor vehicle registration is the registration of a motor vehicle with a public authority, whether compulsory or otherwise. The purpose of registering a motor vehicle is to establish a link between the vehicle and the owner or user of the vehicle. This link may be used for taxation or criminal investigations.
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the following data are from a simple random sample. 5 8 10 7 10 14 a. what is the point estimate of the population mean? b. what is the point estimate of the population standard deviation?
Answers
The point estimate of the population mean is 9
The point estimate of the population standard deviation is 2.83
Part a
Point estimate of population mean:
Given the sample data is 5,8,10,7,10,14
Number of samples, n is 6
Population mean=[tex]\frac{\sum x }{n}[/tex]
=(5+8+10+7+10+14)/6
=54/6
=9
Point estimate of mean=9
Part b
Point estimate of population standard deviation:
Mean=9
Data (x) (x-mean)^2
5 16
8 1
10 1
7 4
10 1
14 25
Total 48
Standard deviation=√(x-mean)^2/n
=√48/6
=√8
=2.83
Hence, the point estimate of population standard deviation is 2.83
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5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $8,000, how much will that bidder need to put into a kitty for the other bidders to be compensated?
Answers
Step-by-step explanation:
there is one item and it cannot be split.
the winning bid was $8,000.
that means the fair share for each one of the 5 participants is
8000/5 = $1,600
the winner is getting one item with a value greater than his fair share.
so, he has to pay the difference into the kitty :
8000 - 1600 = $6,400
Christel House DORS is taking a field trip. Some students will travel in cars, which can carry 5 students, and others will travel in vans, which can carry 15 students. The equation 5(2)+15v=100 describes the relationship between the number of vans needed, v, and the number of students going on the trip. Which statement below is true?
Answers
Given,
5(2)+15v=00
where v is the number of vans.
Solving,
15v=90
v=6
Thus the correct answer is 6 vans are needed to transport students.
Question 12
I just want the answer :)
Given the information marked on each figure below, select all classifications that must be true.
Note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determining your answers.
If necessary, you may learn what the markings on a figure indicate.
Answers
1. Quadrilateral.
The quadrilateral is not necessarily a parallelogram since the diagonals don't necessarily bisect each other.2. Rectangle.
The quadrilateral is a parallelogram because there is one pair of congruent and parallel sides.The parallelogram is a rectangle because there is one right angle.3. Parallelogram.
The quadrilateral is a parallelogram because there is one pair of congruent and parallel sides.6. There were a total of 139 points scored in the basketballgame. The Falcons scored (9x+22) and the Mavericks scored(16x - 8). What was the Falcons score for the game?
Answers
The total score in the basket game = 139
Falcons score = 9x + 22
Maverick score = 16x - 8
Therefore,
139 = 9x + 22 + 16x - 8
collect like term
139 - 22 + 8 = 9x + 16x
125 = 25x
divide both sides by 25
x = 125/25
x = 5
Falcons score = 9x + 22
Falcons score = 9(5) + 22
Falcons score = 45 + 22
Falcons score = 67
If a rectangle has a length of 6cm and a width of 4cm what is it's area
Answers
Answer:
area = l×b
= 6×4
. = 24 cm²
Step-by-step explanation:
this is the answer
Is this function continuous or discrete? How far can you get on 20 gallons? What is the domain and range of this function? How many gallons to get 500 miles? Where do the labels on the graph go?
Answers
EXPLANATION
The equation of the function can be represented as shown as follows:
[tex]G(m)=12m[/tex]-This function is discrete.
-If we have 20 gallons, we can obtain the number of miles by plugging in the value into the equation, as shown as follows:
[tex]20=12m[/tex]Dividing both sides by 12:
[tex]\frac{20}{12}=m[/tex]Simplifying:
[tex]\frac{5}{3}=m[/tex]We can make 1.67 miles with 20 gallons.
-The domain of the function are all the Real Numbers and the Range are also the Real numbers.
-Finally, drawing the graph of the function:
The points of the table are the following:
Gallons Miles
2 24
4 48
6 72
8 96
-We can get the number of gallons needed to, make 500 miles by plugging the value 500 into the equation, as shown as follows:
[tex]500=12m[/tex]Isolating m:
[tex]\frac{500}{12}=m[/tex]Simplifying:
[tex]41.7=m[/tex]The number of gallons to make 500 miles is equal to 41.7 gallons
Finally, labeling the graph:
a person had $14,000 infested in two accounts, one paying 9% simple interest and one paying 10% simple interest. how much was invested in each account if the interest at the one year is $1339?
Answers
Given:
a.) A person had 14,000 infested in two accounts.
b.) One paying 9% simple interest.
c.) One paying 10% simple interest.
Let,
x = the amount invested at 9% simple interest
y = the amount invested at 10% simple interest
1.) We know the total amount of money invested is $14,000. We get,
x + y = 14,000
2.) We know that the total interest for the year for the two accounts is $1432. We get,
0.09*x + 0.1*y = 1,339
Let's equate the two equations,
x = 14,000 - y (Substitute for x)
0.09*(14,000 - y) + 0.1*y = 1,339
1,260 - 0.09y + 0.1y = 1,339
0.1y - 0.09y = 1,339 - 1,260
0.01y = 79
0.01y/0.01 = 79/0.01
y = 7,900
Therefore, $7,900 was invested at the rate of 10% simple interest.
Let's determine x, substituting y = 7,900 in x + y = 14,000.
x + y = 14,000
x + 7,900 = 14,000
x = 14,000 - 7,900
x = 6,100
Therefore, $6,100 was invested at the rate of 9% simple interest.
if 5 people can finish 3 cups of rice,
how many cups of rice will 35 people
eat at the same rate
Answers
Answer:
21 cups
Step-by-step explanation:
This question tests on the the concept of Unit Conversion.
Unit ConversionUnit Conversions involving converting values into per unit values.
Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day
ApplicationFor this Question, we are given:
5 people per 3 cups of rice.
We are asked to find the number of cups of rice that 35 people can finish.
5 people = 3 cups
(5 ÷ 5) people = (3 ÷ 5) cups
1 person = 0.6 cups
(1 × 35) people = (0.6 × 35) cups
35 people = 21 cups
Parallel lines investigation
Answers
From the given figure the value of x is 6 and the measure of angle 3 is 57°.
From the given figure, m∠4=(20x+3)° and m∠6=(9x+3)°.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
22). From the given figure
m∠4+m∠6=180° (Coointerior angles sum is equal to 180°)
(20x+3)°+(9x+3)°=180°
⇒ 29x+6=180
⇒ 29x=174
⇒ x=6
m∠4=(20x+3)°=123°
m∠3+m∠4=180° (Adjacent angles sum is equal to 180°)
m∠3+123=180
m∠3=57°
23). From the given figure
m∠3=m∠6 (Alternate interior angles are congruent)
x+10 = 4x-20
⇒ 3x=30
⇒ x=10
Now, m∠6=4x-20
=20
m∠6+m∠8=180° (Adjacent angles sum is equal to 180°)
20+m∠8=180°
⇒ m∠8=160
Therefore, from the given figure the value of x is 6 and the measure of angle 3 is 57°.
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ingles TestGiven mZA = m D = 90° and AABC ADFE. If AB = 5 inches and BC = 13 inches, determine DE.POSSIBLE
Answers
We will apply the principle of similar triangles to solve this question
Given that
[tex]\begin{gathered} AB=5 \\ BC=13 \end{gathered}[/tex]Method: Find side AC
We will use the Pythagoras theorem to evaluate AC
[tex]\text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2[/tex][tex]13^2=5^2+AC^2[/tex][tex]\begin{gathered} AC^2=13^2-5^2 \\ AC^2=169-25 \\ AC^2=144 \\ AC=\sqrt[]{144} \\ AC=12 \\ \end{gathered}[/tex]T
An observation deck extends 200 feet out above a valley. The deck sits 150 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-16t^2 +150. How long will it take for the object to be 6 feet above the valley floor?
Answers
If equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds
The equation of the height h = -16[tex]t^2[/tex]+150
Where h is the height
t is the time taken
We have to find the time taken for the object to be 6 feet above the valley floor
The height = -150+6
= -144
Substitute the values in the equation
-16[tex]t^2[/tex]+150 = -144
-16[tex]t^2[/tex] = -144-150
-16[tex]t^2[/tex] = -294
[tex]t^{2}[/tex] = 18.375
t = 4.28 seconds
Hence, if equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds
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Can someone help me with my practice? I am having trouble with this question.
Answers
We are to solve an inequality and give the answer in graph form.
The inequality is:
[tex]6-5+n\ge\text{ 18}[/tex]Let's solve for n in order to be able to answer the question.
we start by trying to isolate n on one side of the inequality symbol. So first combine 6-5 = 1 and re-write the inequality:
[tex]1+n\ge18[/tex][tex]\begin{gathered} n\ge18-1=17 \\ n\ge17 \end{gathered}[/tex]Now, subtract 1 from both sides, and you get the final answer:
n must be larger than or equal to 17. WHich agrees with the first answer option provided by the problem.