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Artist 52 [7]
3 years ago
6

A Right Triangle (ABC) has sides measuring 3 inches and 4 inches. The hypotenuse is 5 inches. A similar right triangle (A'B'C')

is created with sides of 7.5 and 10. What is the length of the hypotenuse? (Show all work)
Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:

The length of hypotenuse is 12.5

Step-by-step explanation:

First 7.5 x 7.5 = 56.25

Then 10 x 10 = 100

Add them together 56.25 + 100 = 156.25

Then square root 156.25 and you get 12.5

Ivan3 years ago
6 0

Answer:

12.5 in.

Step-by-step explanation:

You could use the pythagorean theorem, or you can use scale factor. The scale factor between side A and A' is 7.5/3=2.5, which is your scale factor. Multiplying 2.5 by your original hypotenuse gives you 12.5

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The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
loris [4]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 6 = \frac{1}{3}(x - 9) ← distribute the parenthesis

y + 6 = \frac{1}{3} x - 3 ← subtract 6 from both sides

y = \frac{1}{3} x - 9 ← in slope- intercept form

7 0
3 years ago
Read 2 more answers
Answer each question about the following
DIA [1.3K]

Answer:

s=7/9

 i hope this help

3 0
3 years ago
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2.8 = 2y<br> What does y equal?<br> 1.4<br> 0.5<br> 2.8<br> 0.6
igor_vitrenko [27]

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

So, its 2y=2.8

To solve this, you simply divide both sides of the equation by 2.

2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

So, y=1.4

7 0
3 years ago
Read 2 more answers
Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
Alborosie

Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
3 years ago
The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

Learn more about equation  on:

brainly.com/question/2972832

#SPJ1

7 0
2 years ago
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