Mathematics Middle School

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.

75, 85

A.
40, leg
B.
78, leg
C.
81, leg
D.
113, hypotenuse

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

75^2=5625

85^2=7225

7225-5625=1600

[tex]\sqrt{1600}[/tex]=40

Answer 2
pythagorean theorem: a^2 + b^2 = c^2

75^2 + 85^2 = c^2
5625 + 7225 = c^2
12850 = c^2

take the square root of both sides

c ≈ 113

and it would be the hypotenuse since it is the largest side! hope this helps

Related Questions

A bucket of Unifix cubes has 5 red, 6 brown, 5 blue, 4 yellow, and 5 green. Mrs. Brothers is going to randomly
select one cube, not replace it, and then she will select a second cube. What is the probability that both cubes will
be brown?

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Answer:

the third

Step-by-step explanation:

The third
4/25 you got this

Identify the transformation from the original to the image and tell if the two figures are similar or congruent. The original figure (ABC triangle) has continuous lines, the image has dashed lines.

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Answer:

Step-by-step explanation:

It’s the last one!!

need help with these

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1. The answer for question 1 is 279936
1) -279936
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3) -35a^5b^5c^5
4) 64

Sarah need 7 tickets, how much does it cost if 9 tickets cost 159 dollars

Answers

Answer:

I think it's $123

Step-by-step explanation:

good luck!!!and have a great day/night (different time zones)

The answer is 123.62 roughly. To find this, divide 159 by 9 to find the cost of the tickets. Then, multiply the cost of the tickets by 7 to get your answer.

which of these systems of linear equations has an infinite number of solution

Answers

Answer:

A

Step-by-step explanation:

A high school math teacher is grading her students' tests. The teacher spends about 4 minutes grading each test. The teacher has a total of 176 students. How long will it take the teacher to grade the tests?

A.8 hours and 34 minutes
B.6 hours and 44 minutes
C.10 hours and 55 minutes
D.11 hours and 44 minutes

Answers

The answer is D because , 4x176 = 704 which you divide by 60 because thats how many minutes are in an hour which should come out to 11 hours

Bob bought five red hats and two blue hats for $17.50. Each hat had the same price. Which equation would be used to find the cost of one hat? *

Answers

5x+2y=17.50
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Joanna plans to completely cover a large soup can,
including the top and bottom, with black paper. The
diameter of the can is 6 in. and the height is 5 in. Which is a
reasonable estimate for the number of square inches of
paper that Joanna will need to cover the can?
Select one:
101 square inches
151 square inches
1.319 square inches
141 square inches
we

Answers

The answer would be 141 square inches
Reason is that to find the volume the formula would be pi*r^2*h.
Radius would be solved as 6/2=3 and height is 5 inches
Making the problem Pi*3^2*5
Plug that into a calculator which will give you 141 square inches

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges?

________ centimeters by 18 centimeters

A rectangular prism with length of 10 centimeters, width of 8 centimeters, and height of 18 centimeters.
2
8
10
18

Answers

I think the answer is ten centimeters because not only is it in the question but it also makes the equation make sense.

___10_____ centimeters by 18 centimeters

What is a Rectangle?

A parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.

How to determine?

We have,

A rectangular prism with length of 10 centimeters, width of 8 centimeters, and height of 18 centimeters.

The other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges are ___10_____ centimeters by 18 centimeters.

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Plzzz help hurry zoom in to see!?!!

Answers

Answer:

point U

Step-by-step explanation:

Answer:

It's point U

Step-by-step explanation:

please i really need help

Answers

Answer/Step-by-step explanation::

8) 10.2(2) + 9.4(3)

20.4 + 28.2

48.6

9) 1/2(1/4) + 3/8

1/8+ 3/8

1/2

10) 6+2y

i hate math sm it ain’t even real

ASAP PLZZZ HELP GIVING BRAINLEST TO THE FIRST CORRECT ANSWER
Why does the Moon appear to be the same size as the Sun during a solar eclipse?
Group of answer choices

Gravity pulls the moon closer to the Earth during a solar eclipse due to the planetary alignment so it ends up looking larger than normal.

While the moon is much smaller than the sun, the moon is also much closer to Earth so it appears larger.

The Moon Illusion occurs when the moon is in certain positions in the sky, which plays a trick on our brain to make it appear larger than it really is.

Answers

Answer:

While the moon is much smaller than the sun, the moon is also much closer to Earth so it appears larger.

Answer:

i think its the second choice

Step-by-step explanation:

Help Question! Due Today

Answers

5.B

what is 6

7. It’s equal, should be c

Depenendent Event
A box contains 6 yellow, 2 black and 4 green pencils. What is the probability of pulling two green
pencils (without replacement)? Write your answer as a decimal.

Answers

Answer:

.2

Step-by-step explanation:

first you add all the pencils up which is 12 next take the probably of taking out one of each pencil .4 for green .2 for black and .6 for yellow next you divide the probably for pulling 1 green bye 2 since your pulling out 2

2 like that guy said

HELP ASAP TYSM IF U DO!!!
How would you graph the solution set of ≤ -18?

closed circle on -3 and shaded to the left
closed circle on -108 and shaded to the left
closed circle on -3 and shaded to the right
closed circle on -108 and shaded to the right

Answers

Closed circle on -3 and shaded to the left as going left are to the negligible numbers :)
Closed circle on -3 and shaded to the left

Giving brainliest!!!!!!!!!!!

Answers

Answer:

the answer is A because "colorbiosticts" is middle and  that is the only option that says that

Step-by-step explanation:

PLEASE EXPLAIN WHAT MAKES THEM EQUAL

Answers

math is wh as t makes this equations true specifically pre algebra

Triangle ABC is isosceles, meaning that two of the sides are equal. In this equation we can say the parts that would like this— /\ — are equal. Therefore, we can say angle A is equal to angle C and angle B would be just about 20°.

The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?

The measure of the larger angle is
°. what is the angle

Answers

First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x.

Got the answer from sdmatera (i’m giving creds)

here's an algebra question I need help with... (I'm not sure if I selected the right answer)

Answers

Answer: You selected the correct one

Step-by-step explanation:

I beleive this is right, qoute me on this!!!

You’re right on this one

Choose the inequality that shows x is bigger than 2.

A.2 x
C.2≤x
D.2≥x

Answers

Answer:

C

Step-by-step explanation:

The answer is C


Got you young jit

20 - 12/x = 16 ; x = 3

Answers

Answer: 20−12/3=?16

16=16

True

Step-by-step explanation: hope this help:)

Answer:

20-12 = 8.

If 8 / x = 16, then 3 at x;

8/3 =16.

I hope you will like it.

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?
PLS HELP ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

1212

Step-by-step explanation:

121212212

Hello!
Multiple Choice. Which of the following fractions is equivalent to (6/15)


2/7

4/10

1/2

1/4

Answers

Answer:

4/10

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

Good Luck

Can 2 or more different triangles have the same area?

Answers

Answer:

yes

Step-by-step explanation:

the royals softball team played 75 games and won 55 of them. what percent of the games did they lose?

Answers

Answer:

they lost 29.3% of the games

Step-by-step explanation:

They lost 29.3%of the softball games.

Explanation:

Total number of games = 75

Number of games won = 55

Number of games lost = 75 − 55 = 22

22/75 ÷ 100% = 29.3%

An architect is creating a scale model of a building with a rectangular base. The ratio of the
building's base length to the scale model's base length is 110 in : 3 in. If the length of the base
of the scale model is 9 inches (in), what is the length of the base of the building to the nearest
foot?
Answer:

Answers

Answer: 28

Step-by-step explanation: 110in/ 3in = L/ 9in

Since we’re solving for L we see that L= 110in/ 3in x 9in = 330in.

Since there are 12 inches in 1 foot, you can determine the number of feet in the length of the building base by dividing the total number of inches by 12.

330/12 = 27.5 which rounds to 28 feet

The length of the base of the building is approximately 27.5 feet to the nearest foot.

To find the length of the base of the building, we can set up a proportion using the given ratio and the length of the base of the scale model.

Let's denote the length of the base of the building as 'x' feet.

The ratio of the building's base length to the scale model's base length is given as:

110 in : 3 in

To convert the scale model's base length to feet, we divide it by 12:

9 in ÷ 12 = 0.75 ft

Now we can set up the proportion:

110 in / 3 in = x ft / 0.75 ft

Cross-multiplying, we have:

110 in * 0.75 ft = 3 in * x ft

82.5 ft*in = 3x ft

To solve for x, we divide both sides by 3:

82.5 ft*in / 3 = x ft

27.5 ft = x ft

Therefore, the length of the base of the building is approximately 27.5 feet to the nearest foot.

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A family wants to buy a new computer. The regular price is $849. The store is offering a 20% discount, and a sales tax of 6% is added after the discount. What is the total cost of the computer?

A. $169.80

B. $679.20

C. $719.95

D. $789.75

Answers

Answer:

C

Step-by-step explanation:

because

The height of a building is proportional to the number of floors. The figure shows the height of a building with floors. Complete parts a and b. a. Write the ratio of height of the building to the number of floors.​ Then, find the unit​ rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences. The ratio of height of the building to the number of floors is . The unit rate is . This means that each floor of the building is ft high.

Answers

Answer:

1:13

1 floor per 13 feet.

It means how many floors are to be allocated in a certain area of space.

Step-by-step explanation:

Answer:


Meaning: Each floor of the buiding has a height of 15 feet.
Step-by-step explanation:
The missing figure is attached.
By definition, the ratios are used to compare two or more things or quantities.
In this case you must write the ratio of height of the building to the number of floors it has.
You can observe in the figure that the building has a height of 135 feet, and, since it has 9 floors, you can write the following ratio:

Therefore, dividing the numerator by the denominator, you get that the unit rate is:

This means that each floor of the buiding has a height of 15 feet

I know it's wrong

Plzz help hurry!!!!!!

Answers

Answer:

(-1,-2.5)

Step-by-step explanation:

HELP PLEASE!!!!!!!

1) A rectangle has a length that is 5 less than four times its width. Find what simplified expression represents the perimeter of this rectangle. (Show work)

Answers

Answer:

10x-10

x-width

Step-by-step explanation:

width-x

4x-5-length

formula for P of rectangle- (a+b)2

(x+4x-5)2

(5x-5)2

=10x-10

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