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NARA [144]
3 years ago
5

Find the circumference of a circular window if the area is 100pi sq units

Mathematics
2 answers:
padilas [110]3 years ago
7 0
20pi sq units
.............
-BARSIC- [3]3 years ago
6 0

For this problem, using the area of the circle, we have to work backwards to find the radius to find the circumference

The area of the circle (A) = 100π units

A = 100π

The formula for area of a circle

A = πr²

Since we know what A is, lets plug it into the equation for area of a circle to solve for r

100π = πr²

Divide π from both sides to cancel them out

100 = r²

Take the square root of both sides to isolate r, the radius

r = 10

Now that we know what r is, let's plug it into the equation for the circumference of a circle

Circumference = 2πr

= 2π(10)

Multiply 2 and 10, because both are like terms

Circumference of the window = 20π

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The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

P(y)=110000(1.04)^y

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)
Gennadij [26K]

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

  • (x+2)(x-1)(x-2)
  • (x²-4)(x-1)
  • x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

6 0
3 years ago
Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug
jolli1 [7]
I believe the answer is C - 60 inches. 60 x 2 = 120, which is both lengths, and since he width is half the length, then 30 x 2 = 60. So 130 (length) + 60 (width) = 180. So 60 inches would be the maximum length for both sides.
7 0
3 years ago
Read 2 more answers
Help me please, thank you!
elena-s [515]
A is 3 square root 2
Since 3*6 is 18
Find the factors of 18
So we have 9 and 2
9 is a perfect square so it’s 3 with 2 inside radical
7 0
3 years ago
Read 2 more answers
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m
stira [4]
1.5 minutes = 90 second

The probability density function is

f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}

so the probability of interest is

\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx
\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx
\mathbb P(X>90)=\dfrac{200-90}{170}=\dfrac{11}{17}\approx0.6471
5 0
3 years ago
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