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3 years ago

Find the area of the shaded region. Round your answer to the nearest tenth. 9 m 20 9 m area aboutm? pls explain how.

Mathematics

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

The area of the shaded region is 17.4 square meters.

Step-by-step explanation:

Since the shaded region in the center equals the remainders of a circle, the area of a square equals its side squared, and the area of a circle equals π times the radius squared, for To determine the area of the shaded region, the following calculations should be performed:

(9 ^ 2) - (π x (9/2) ^ 2) = X

81 - (π x 4.5 ^ 2) = X

81 - (3.141 x 4.5 ^ 2) = X

81 - 3.141 x 20.25 = X

81 - 63.6 = X

17.4 = X

Thus, the area of the shaded region is 17.4 square meters.

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If events A and B are independent, what must be true?A.) P(AB) = P(B)

anygoal [31]

Answer:

B.) P(A/B) = P(A)

Step-by-step explanation:

If two events, A and B are independent:

We have that:

$P(A \cap B) = P(A)P(B)$

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Since they are independent:

$P(A \cap B) = P(A)P(B)$

Then

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)$

$P(B|A) = P(B)$ , or either:

$P(A|B) = P(A)$ , and thus, the correct answer is given by option B.

7 0

2 years ago

8a + 5b = 9; 3a + 2b = 4

nevsk [136]

Solve for the first variable in one of the equations, then substitute the result into the other equation.
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4 0

3 years ago

Read 2 more answers

Convert 5 square root of a into exponential form?

stich3 [128]

Answer:

The answer is: " $5a^\frac{1}{2}$ " .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a" ; into "exponential form".

Note that "5 square root of a" ;

or; " 5 root a " ;

means: " 5 times the {square root of the variable, "a" };

or : " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as: " $5\sqrt{a}$ " .

_______________________________________________

Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

_____________________________________________

So; to write: " √a " ; as an exponent :

______________________________________________

Note:

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

_______________________________________________

So:

" $\sqrt{a} = a^\frac{1}{2}$ " ;

_______________________________________________

And:

________________________________________________

" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

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→ The answer is: " $5a^\frac{1}{2}$ " .

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Hope this helps!

Best wishes in your academic endeavors

— and within the "Brainly" community!

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3 years ago

A potential employer offers to pay you a starting salary of $55,000 a year, and guarantees a

balandron [24]

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Step-by-step explanation:

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3 years ago

.84 is 1/10 as much as

maw [93]

Hello there.

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3 years ago