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2 years ago

How do I find the area of the shaded blue region?

Mathematics

1 answer:

kogti [31]2 years ago

3 0

That's a 240 degree sector of a 9 inch radius circle. The whole circle has area πr² and we want 240/360 of it.

A = (240/360) π (9²) = 54 π

Answer: 54 π square inches

That's the exact answer. An approximation is

169.646 square inches

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How do I answer this question

Gnom [1K]

First you have to make it multiplication so you flip 5/2 around and the two “2’s” will cancel each other so it will be 17/5 or 3 2/5

6 0

2 years ago

Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

2 years ago

Plz help me with the answer

UkoKoshka [18]

Answer:

Step-by-step explanation:

Put x = 9 to the equation 3x + 4y = 43

(3)(9) + 4y = 43

27 + 4y = 43 <em>subtract 27 from both sides</em>

4y = 16 <em>divide both sides by 4</em>

y = 4

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2 years ago

PLZZ HELP. ILL MARK BRAINLIEST!!

Blizzard [7]

Answer:

The answer I got from the equation was 254.47

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2 years ago

O) Find the sum.<br>-3/1/3 + -1/2/3

alex41 [277]

-3/1/3 + -1/2/3 = -7/6

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2 years ago