2 years ago

Find the value of x in the proportion 3/8= x/40

Mathematics

1 answer:

vladimir1956 [14]2 years ago

3 0

Answer:

Step-by-step explanation:

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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>

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3 years ago

Can you give me answer to both questions am confused . Thank you .

Naddik [55]

For the first one, it would be 5/3 and 19/3
the second one would be 40

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