How to factor the. problem completely

In the diagram, the radius of the outer circle is

JulijaS [17]

the value of x is 8 cm.

Step-by-step explanation:

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle = πr²

the outer circle area = $\pi(2x)^2 =4\pi x^2$

the inside circle area = $\pi (6)^2= 36\pi$

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ $\pi (4x^2)-36\pi =220\pi$

⇒ $x^2-9 =55$

⇒ $x^2=64$

⇒ $x =\sqrt{64}=8$

Therefore , the value of x is 8 cm.

5 0

3 years ago

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

Marat540 [252]

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0

3 years ago

Read 2 more answers

Hector has 3/4 hour to spend his homework. He wants to spend 1/3 of this time on math homework, 10 minutes of his time on readin

DENIUS [597]

Answer:

20 minutes

Step-by-step explanation:

Remember that

$1\ h=60\ mi$

we know that

Hector has 3/4 hour to spend his homework

Convert to minutes

$\frac{3}{4}(60)=45\ min$

so

1) He wants to spend 1/3 of this time on math homework

To find out the time on math homework, multiply 45 minutes by 1/3

$45(\frac{1}{3})=15\ min$

2) He wants to spend 10 minutes of his time on reading homework

3) He wants to spend the remaining time on science homework

The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes

Let

x ----> the time spend on his science homework

$15+10+x=45$

Solve for x

$25+x=45\\x=45-25\\x=20\ min$

3 0

3 years ago

Evaluate the expression when m = 6 and n 8. 56 +m n

Marina86 [1]

Step-by-step explanation:

Hello! I have given you the answer key to your whole entire unit, so what you do is scroll to find the answer you need out of it. But if it isn't on the front like it should be, scroll you'll find it.

Download pdf

8 0

3 years ago

Read 2 more answers

(08.03 LC) Factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)

Alona [7]

Answer:

Option C is correct

Step-by-step explanation:

We need to factorize the expression:

$x^2+10x+24$