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3 years ago

Write the inequalities and show all your work to each question?

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

x<-1

x< or equal to 3

x< or equal to 1

x<-3

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The sum of the two areas of two circles is the 80x square meters. Find the length of a radius of each circle of them is twice as

Alborosie

Answer:

$r = 4m$ --- small circle

$R =8m$ --- big circle

Step-by-step explanation:

Given

$Area = 80\pi\ m^2$ -- sum of areas

$R = 2r$

Required

The radius of the larger circle

Area is calculated as;

$Area = \pi r^2$

For the smaller circle, we have:

$A_1 = \pi r^2$

For the big, we have

$A_2 = \pi R^2$

The sum of both is:

$Area = A_1 + A_2$

$Area = \pi r^2 + \pi R^2$

Substitute: $R = 2r$

$Area = \pi r^2 + \pi (2r)^2$

$Area = \pi r^2 + \pi *4r^2$

Substitute $Area = 80\pi\ m^2$

$80\pi = \pi r^2 + \pi *4r^2$

Factorize

$80\pi = \pi[ r^2 + 4r^2]$

$80\pi = \pi[ 5r^2]$

Divide both sides by $\pi$

$80 = 5r^2$

Divide both sides by 5

$16 = r^2$

Take square roots of both sides

$4 = r$

$r = 4m$

The radius of the larger circle is:

$R = 2r$

$R =2 * 4$

$R =8m$

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3 years ago

If DM=45, what is the value of r?

amm1812

Answer:

Step-by-step explanation:

6 0

3 years ago

Can you help me with number 3 or 4 please

Alja [10]

4. $7.19 (simply just subtract the two)

5 0

3 years ago

Read 2 more answers

Evaluate y5 for y = 1.<br> 1<br> 5<br> 15

Zolol [24]

If y=1, then y^5 is 1*1*1*1*1=1.

4 0

3 years ago

Read 2 more answers

Can someone tell me what to write please

tiny-mole [99]

Answer: 3.5 years

Step-by-step explanation: Let A be the salaries earned from company A for x years and B for company B for the same years.

A = 31000 + n*3000

B = 38000 + n*1000

To find the case where A = b, set them to each other and solve for n, the number of years.

31000 + n*3000 = 38000 + n*1000

2000n = 7000

n = (7000/2000) = 3.5 years.

A B

0 31000 38000

1 34000 39000

2 37000 40000

3 40000 41000

4 43000 42000

5 46000 43000

6 49000 44000

7 52000 45000

3 0

3 years ago