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kiruha [24]
2 years ago
8

Clair's paycheck this week was $568.00. She put 1/4 of that amount in her savings account. Then she spent 1/2 of what was left o

n rent and $42.60 on groceries. How much money does she have left?
Mathematics
1 answer:
Juliette [100K]2 years ago
7 0
I think it’s 690.45 halcones be gb bb
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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Examine the equation.<br><br> –2(–x + 9) = 2(x – 9)<br> 2x – 18 = 2x – 18<br> This equation has
kolezko [41]

Answer:

infinite solutions

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the value of the slope of the graph of distance versus time, and what does the slope represent?
Phantasy [73]
To find the slope of the graph you pick any piece of the line, and divide the vertical difference between its ends by the horizontal difference between its ends. If the graph is distance versus time then the slope represents the speed.
7 0
2 years ago
a bathtub in the shape of a rectangular prism is 5 feet long, 3 1/2 feet wide, and 4 1/4 feet high. How much water could the tub
kondaur [170]
The tub could hold 74 and 3/8
6 0
3 years ago
The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

4 0
3 years ago
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