All categories

3 years ago

Circle O has a circumference of 88π cm.

Mathematics

2 answers:

Hunter-Best [27]3 years ago

6 0

Answer:

44 cm

Step-by-step explanation:

The circumference formula is:

C = 2πr

We are given the circumference of circle O, so we substitute C with the given circumference and solve for r.

88π cm = 2πr

Switch sides:

2πr = 88π cm

Divide both sides by 2π:

$r = \dfrac{88\pi}{2\pi} cm$

r = 44 cm

Elza [17]3 years ago

5 0

The radius is 44 cm long

You might be interested in

A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y

siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32

Given that 100 beetles are released into a field.

So that means initial number of beetles P=100

Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

$A=P(1+r)^n$ where A is number of beetles at any year n.

Plug the given values into above formula we get:

$A=100(1+0.32)^n$

$A=100(1.32)^n$

now plug n=10 years

$A=100(1.32)^{10}=100(16.0597696605)=1605.97696605$

Hence answer is approx 1606 beetles will be there after 20 years.

Now we have to find about how many beetles will there be in 20 years.

To find that we plug n=20 years

$A=100(1.32)^{20}=100(257.916201549)=25791.6201549$

Hence answer is approx 25791 beetles will be there after 20 years.

Now we have to find time for 100000 beetles so plug A=100000

$A=100(1.32)^n$

$100000=100(1.32)^n$

$1000=(1.32)^n$

$log(1000)=n*log(1.32)$

$\frac{\log\left(10000\right)}{\log\left(1.32\right)}=n$

33.174666862=n

Hence answer is approx 33 years.

4 0

3 years ago

Read 2 more answers

Their sum is 6 and their difference is 36 Help plz

Ivan

Answer:

Step-by-step explanation:

if you can use negative numbers then you could use 21 and -15

adding them together is 21 + (-15) = 6

and then subtracting 21 - (-15) =

21 + 15 = 36

do you think that would work ? :/

3 0

3 years ago

Read 2 more answers

PLEASE HELP

LekaFEV [45]

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

5 0

2 years ago

100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported

Setler79 [48]

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

$d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

~ Put all values.

$d = \sqrt{ {(5 - 7)}^{2} + ( {0 - 7)}^{2} }$

~ Simplify it.

$d = \sqrt{ {( - 2)}^{2} + {( - 7)}^{2} }$

$d = \sqrt{4 + 49}$

$d = \sqrt{53}$

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

Hope it helps....

8 0

3 years ago

Read 2 more answers

2/3 of a class are girls. A) what is the ratio girls to boys in the class? B) what is the ratio boys to girls in the class

tekilochka [14]

a) 2:1

b) 1:2

2/3 are girls so 1/3 are boys

5 0

3 years ago