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Sever21 [200]
2 years ago
9

Seattle, wa and san francisco, ca lie on the same longitudinal line. san francisco is at 38° latitude and seattle is at 47° lati

tude. if the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [use π = 3.14, and round to the nearest mile.]

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

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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kolezko [41]

Answer:

Slope =  \frac{-3}{4}

Step-by-step explanation:

(5 , -2)   ; (-3, 4)

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3 0
3 years ago
PLZ HELP WORTH A LOT OF POINTS AND I HAVE 10 MINUTES!!!!
Lina20 [59]

Answer:

The area after 9 years will be 1,234 km^2

Step-by-step explanation:

In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.

To answer this question, we shall be using an exponential approximation.

Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.

This can be written as;

A = I(1-r)^t

where A is the new area we are looking for

I is the initial area which is 1700 according to the question

r is the rate of decrease which is 3.5% = 3.5/100 = 0.035

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We plug these values and have the following;

A = 1700(1-0.035)^9

A = 1700(0.965)^9

A = 1,233.66

This is 1,234 km^2 to the nearest square kilometer

5 0
2 years ago
Round to the nearest tenth.
laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

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<u />a^2=b^2+c^2-2bc\cdot cos(A)

<u>Identify angles and sides</u>

<u />m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6

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Therefore, the length of line segment BC is about 8.2 units

8 0
2 years ago
The odometer in your mother’s car reads 3440 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 2958
Serhud [2]
29580 + 3440 = 33020. The is about 33,000mi. The answer is d.
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Amanda makes colored paper cone cups to serve nuts at a charity event. The height of each paper cone is 15 centimeters, and the
allsm [11]

Answer:

V=261.80 \ cm^3

Step-by-step explanation:

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V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi \times 5^2\times 10\\\\=261.80\ cm^3

Hence, the each cone's volume is 261.80 \ cm^3

8 0
3 years ago
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