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2 years ago

A circle with radius of 5 sits inside a 11×11 rectangle. What is the area of the shaded region?

Mathematics

1 answer:

BigorU [14]2 years ago

6 0

If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602

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Can u please help me with this math assignment

Troyanec [42]

Hard to read sideways but what I got from that is that you have a right triangle and you are trying to explain the other angles?
Both of the other two angles would be 45 because an angle is 180 total. If it is a right angle, that means that there is a 90 degree angle. 180-90=90. In a right angle, the other two angles are the same in degree. Therefor 90/2 is 45. 45 applies to both of the acute angles. I hope this helps! Good luck :)

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2 years ago

5(2x − 12) + 21 = 2x + 41 I know the answer is 10 but can someone explain how to get that?

dsp73

$5(2x-12)+21=2x+41\\\\5\cdot2x-5\cdot12+21=2x+41\\\\10x-60+21=2x+41\\\\10x-39=2x+41\qquad|+39\\\\10x-39+39=2x+41+39\\\\10x=2x+80\qquad|-2x\\\\10x-2x=2x+80-2x\\\\8x=80\qquad|:8\\\\\boxed{x=10}$

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2 years ago

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If the volume of two similar spheres are 128m^3 and 1458m^3.

Musya8 [376]

Answer:

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Step-by-step explanation:

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2 years ago

Given A is between Y and Z and YA= 14x, AZ= 10x, and YZ= 12x + 48, find AZ

Andreyy89

Answer:

Step-by-step explanation:

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2 years ago

Which expression is equivalent to (x superscript four-thirds baseline x superscript two-thirds Baseline ) superscript one-third

Andrei [34K]

<h3>The equivalent expression is:</h3>

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Solution:

Given expression is:

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$

We have to find the equivalent expression

We can simplify the above expression using law of exponents

Use the following law of exponents:

$a^m \times a^n = a^{m+n}$

Therefore,

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^{\frac{4}{3}+\frac{2}{3}})^{\frac{1}{3}}\\\\Simplify\\\\\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^2)^\frac{1}{3}$

Use another law of exponent

$(a^m)^n = a^{mn}$

Therefore,

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Thus the equivalent expression is found

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2 years ago

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