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e-lub [12.9K]
2 years ago
6

What is the area of the shaded region?

Mathematics
2 answers:
serg [7]2 years ago
7 0

Answer:

(25\pi\ -24)\ cm^{2} C

Step-by-step explanation:

on e2020

azamat2 years ago
5 0

Answer:

(25\pi\ -24)\ cm^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the two isosceles triangles

so

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

where r is the radius of the circle

In this problem we have

r=5\ cm

substitute

A=\pi (5)^{2}

A1=25\pi\ cm^{2}

Find the area of the two triangles

The area of the two isosceles triangles is equal to

A=2[\frac{1}{2}bh]=bh

we have

b=6\ cm

h=5-1=4\ cm

substitute

A2=6*4=24\ cm^{2}

Find the area of the shaded region

A1-A2=(25\pi\ -24)\ cm^{2}

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Which is equivalent to 4x/x-7 - x+7/x
spin [16.1K]

Answer:

The answer to your question is the second choice

Step-by-step explanation:

                        4x/ (x - 7)  -  (x +7) / x

- Find the greatest common factor from x and (x - 7)

                 GCF = x(x - 7)

- Substract the terms

                     [4x(x) - (x + 7)(x - 7)] / x(x - 7)

- Simplify

                     [ 4x² - x² + 49] / x(x - 7)

                     [ 3x² + 49] / x(x - 7)

- Result

                      3x² + 49  /  x(x - 7)

                       

6 0
3 years ago
What is the product (2x + 3y) (7x – 4y)?
cupoosta [38]

Answer:

14x²-12y²

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
Given ADEF: ARST, find the scale factor
Deffense [45]

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

4 0
3 years ago
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SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT<br> 9p^2-6=642
Aleksandr [31]
9p^2 - 6 = 642;  / + 6 ;
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p^2 = 72 ;
p = + \sqrt{72} or -  \sqrt{72};
Finally, p = +6\sqrt{2} or p = -6\sqrt{2} .
7 0
3 years ago
Read 2 more answers
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