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2 years ago

10

Both circles have the same center. What is the area of the shaded region?

1 answer:

Nookie1986 [14]2 years ago

7 0

Answer:

21

Step-by-step explanation:

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find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m

aalyn [17]

$Area\ of\ a\ rectangle:A_{\fbox{ }}=9m\times4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=\sqrt{36m^2}\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4\times6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}$

4 0

3 years ago

Which is an equation in point-slope form for the given point and slope?

Kisachek [45]

The point-slope form: $y-y_1=m(x-x_1)$

Q2.

$(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)$

Q3.

$(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)$

Q4.

$y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1$

The formula of a slope: $m=\dfrac{x_2-x_1}{y_2-y_1}$

$((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5$

$y=-1.5x+1$

8 0

3 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

gizmo_the_mogwai [7]

Answer:

The large sample n = 1713.96

Step-by-step explanation:

<u>Explanation</u>:-

given the population proportion was estimated to be 0.22

population proportion (P) = 0.22

The 95 % level of significance = 1.96≅ 2

The margin of error = 0.02

The formula of margin error

$\frac{2\sqrt{p(1-p)} }{\sqrt{n} } = 0.02$ … ( i )

Substitute 'p' values in equation (1)

$\frac{2\sqrt{0.22(1-0.22)} }{\sqrt{n} } = 0.02$

cross multiplication and simplification, we get

$2X0.414= 0.02 \sqrt{n}$

$\frac{2X0.414}{0.02} = \sqrt{n}$

$41.4 = \sqrt{n}$

squaring on both sides, we get

the large sample n = 1713.96

7 0

3 years ago

Ms Chung went to the grocery store with 25.00 in her wallet when she was finished shopping she had 8.37 how much did the groceri

masha68 [24]

The Math is easy all you got to do is subtract first she had 25.00 then 8.37

25.00
_ 8.37
˘˘˘˘˘˘˘˘˘
16.63

Your answer would be 16.63

4 0

3 years ago

Read 2 more answers

A number decrease by the square of 9

ratelena [41]

X-9^2
a number = x
decreased= subtracting
square of 9= 9^2

7 0

3 years ago