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olga_2 [115]
3 years ago
15

Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

ommaand the latitude of the second city is 39 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

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Answer:

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Step-by-step explanation:

3 0
3 years ago
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In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?
lesantik [10]

1.875

Step-by-step explanation:

Step 1 :

Given,

In ΔOPQ,

∠Q=90°,

PO = 17,  QP = 8 OQ = 15

Step 2:

We know that the hypotenuse will be the largest side of a triangle.

So in the given triangle PO = 17 is the hypotenuse.

With respect to angle P, OQ represents the opposite side of angle P  and PQ will be the adjacent side.

Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

Step 3 :

So using the above we have,

tangent of angle P = opposite side /adjacent side = 15/8 = 1.875

8 0
3 years ago
For each function, y varies directly with x. Find each constant of variation. Then find the value of y when x=-0.3
Viktor [21]

<u><em>Answer:</em></u>

1- The constant of variation is \frac{10}{3}

2- The constant of variation is \frac{4}{3}

<u><em>Explanation:</em></u>

When two variables are in direct variation, this means that when one of them increases, the other increases and vice versa

<u>A direct variation relation is represented as follows:</u>

y = kx

where k is the constant of variation

Now, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for k

<u>For the given problems:</u>

<u>1- y = \frac{2}{3}\ when\ x=0.2</u>

<u>Therefore:</u>

y = kx\\\\\frac{2}{3} = 0.2k\\\\ k = \frac{10}{3}

<u>2- y = 4\ when\ x=3</u>

<u>Therefore:</u>

y = kx\\ 4 = 3k\\ k = \frac{4}{3}

Hope this helps :)

5 0
3 years ago
Wrestle wants to buy three identical gift cards. He wants to make sure his total cost is no more than two dollars above or below
yKpoI14uk [10]

58  =< x <= 62    where x is the cost of the 3 cards.

5 0
3 years ago
A runner runs 400m west then changes direction and runs 600m south, If the entire trip takes 35s, what is the average speed? Giv
djverab [1.8K]
<h3>Explanation:</h3>

Average Speed = Total Distance / Total Time

Total Distance = 400m + 600m = 1,000m

Total Time = 35s

Average Speed = 1,000/35 = 28.57 m/s (approx.)

<h2>Answer:</h2>

Average Speed in two decimal places is <u>28.57 m/s (approx.)</u>

6 0
3 years ago
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