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2 years ago

13

A point is chosen at random in the larger circle. What percent of the time will the point be in the shaded region? Round to the

nearest tenth of a percent. Please help me!!

1 answer:

Andru [333]2 years ago

6 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image for the step by step explanation of the answer to the question

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joja [24]

First you find how much the shape has dilated. To d ok that you divide the size of the size already given to you from the bigger shape from the same did if the smaller shape. So 58÷6=9.7. The shape grew by 9.7. To find x you use the similar side of the other shape again and multiy that size by 9.7. So 9.7×3=29.1

x=29.1

4 0

2 years ago

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

2 years ago

Math graph and solution y=3x2+18x-21

Likurg_2 [28]

We have that

<span>y=3x</span>²<span>+18x-21

using a graph tool
see the attached figure

the solutions are
x=-7
x=1</span>

6 0

2 years ago

if you deposit $10000 at 11%(simple interest), how long will it be until the total amount in the account is $21000?

ki77a [65]

10000:100*11=1100 income per year

21000-10000=11000 need to have income

11000:1100=10 years will pass time

4 0

2 years ago

Simplify [view attached image]

pav-90 [236]

<u>Given</u>:

The given expression is $(\sqrt{5})( \sqrt[3]{5})$

We need to simplify the given expression.

<u>Simplification</u>:

Let us simplify the given expression.

Rewriting the given expression, we have;

$5^{\frac{1}{2}} \cdot 5^{\frac{1}{3}}$

Let us apply the exponent rule $\:a^b\cdot \:a^c=a^{b+c}$ , we get;

$5^{\frac{1}{2}+\frac{1}{3}}$

Taking LCM, we have;

$5^{\frac{3+2}{6}}$

Simplifying, we get;

$5^{\frac{5}{6}}$

Thus, the simplified value of the given expression is $5^{\frac{5}{6}}$

Hence, Option a is the correct answer.

6 0

2 years ago