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3 years ago

10

Find the exact area of each shaded region

1 answer:

Anton [14]3 years ago

5 0

$\bf \textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=larger\\ \qquad radius\\ r=smaller\\ \qquad radius\\[-0.5em] \hrulefill\\ R=12\\ r=7 \end{cases}\implies A=\pi (12^2-7^2) \implies A=95\pi$

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Please help with geomtry

notsponge [240]

Angle ADB is a right angle, which is given.

The measure of ADB is 90 degrees by definition of right angle.

The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).

The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).

BDC = ADB because 90 = 90

Overall, the two triangles are congruent by SAS.

5 0

4 years ago

Explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Vaselesa [24]

Answer:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

Step-by-step explanation:

Given

$(x^\frac{3}{8})^\frac{3}{4}$

Required

Convert to radical form

$(x^\frac{3}{8})^\frac{3}{4}$

Evaluate the exponents

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}$

$(x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}$

Split the exponent

$(x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}$

Apply the following law of indices

$(x^a)^\frac{1}{b} = \sqrt[b]{x^a}$

So, we have:

$(x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}$

3 0

3 years ago

Look at the model below which are true

OLga [1]

3(2+x)

open the parenthesis

= 6 + 3x

3(2+x) = 6 + 3x

Hence the statement of equality is true

H is the correct option

6 0

1 year ago

I really need help finding the solution!!

Mrac [35]

Answer:

-0.5 is not a solution

2 is a solution

Step-by-step explanation:

To check if something is a solution of the equation, you need to substitute the value in place of the variable

15 + 2y = -12 - 4y

15 + 2(-0.5) = -12 - 4(-0.5)

15 - 1 = -12 + 2

14 ≠ -10 ∴ -0.5 is not a solution

5 - 2(3x + 5) = 3 - 10x

5 - 2[3(2) + 5] = 3 - 10(2)

5 - 2(6 + 5) = 3 - 10(2)

5 - 12 - 10 = 3 - 120

-17 = -17 ∴ 2 is a solution

3 0

3 years ago

Should be 2/5 I'm doing the test rn

xz_007 [3.2K]

whats the question you are just saying the answer

5 0

3 years ago

Read 2 more answers