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olga55 [171]
3 years ago
10

Half of circle is called a semicircle.a semicircle has a diameter of 30 inches.what is the area of the window to the nearest squ

are inch
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

A=353\ in^2

Step-by-step explanation:

<u><em>The question is</em></u>

A window is shaped like a semicircle with a diameter of 30 inches. What is the area of the window? Round to the nearest square inch

we know that

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

we have

r=30/2=15\ in ---> the radius is half the diameter

substitute

A=\frac{1}{2}\pi (15)^{2}

A=112.5\pi\ in^2

assume

\pi =3.14

A=112.5(3.14)=353,25\ in^2

Round to the nearest square inch

A=353\ in^2

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No matter what you use or how you use it, the diagonal is 19.21 meters.
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Solve the inequality for x -11 &lt; -18- 7/9x
zavuch27 [327]

The solution of the inequality is x < -9

<h3>How to solve the inequality for x?</h3>

The inequality expression is given as:

-11 < -18- 7/9x

Add 18 to both sides of the inequality

18 - 11 <- 7/9x

Evaluate the difference

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Multiply both sides by -9/7

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2 years ago
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

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Adding both equations:

-7p=-0.49

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