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Vsevolod [243]
3 years ago
12

The circumference of a circle varies directly as the diameter. A circle has a diameter of 40 feet and a circumference of 125.6 f

eet. What is the circumference of a circle with a diameter of 10 feet? A. 31.4 feet B. 5 feet C. 15.7 feet D. 41.4 feet
Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

A. 31.4 feet

Step-by-step explanation:

The formula for circumference is given by

C = pi d

Since we know the diameter is 10 ft

C = pi * 10

pi  is approximately  3.14

C = 3.14* 10

C = 31.4 ft

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Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
Helen [10]

Step 1.

Calculate measure of angle α:

47^o-38^o=9^o

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

\dfrac{9^o}{360^o}=\dfrac{1}{40}

Step 3.

Calculate the circumference of the Earth (circle):

C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi

Step 4.

The length of arc is equal 1/40 of the circumference:

\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi

\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi


<h3>Answer: A) 628 miles</h3>

7 0
3 years ago
The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.
sergey [27]
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
6 0
2 years ago
Joseph buys 10 cookies. He eats 7 of them. He wants to know how many cookies he has left.
AysviL [449]

Answer:

subtract 10-7 which is 3 cookies

6 0
2 years ago
Read 2 more answers
(2x -2)^-3<br>can anyone help me with this?​
zzz [600]

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

(2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}

4 0
3 years ago
On a certain hot summers day, 648 people use the public swimming pool. The daily prices are $1.50 for children and $2.25 for adu
ehidna [41]

Answer:

252 children and 395 adults

Step-by-step explanation:

Make a linear system of equations, where x represents the number of children and y represents the number of adults

x+y=648

1.50x+2.25y=1269

solve using substitution, so y=648-x,

then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,

solve for x and you will get x equals the 252

then substitute this into the first equation, so you get 252+y=648

solve and you will get y=395

3 0
3 years ago
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