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faust18 [17]
2 years ago
13

4. (05.02)

Mathematics
1 answer:
labwork [276]2 years ago
6 0

Answer:

95 degrees

Step-by-step explanation:

use a calculator

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A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.
RoseWind [281]
We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

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3 years ago
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Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.
EleoNora [17]

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

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3 years ago
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Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.
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Angles 1 and 2 are supplementary angels because they form a line.
Angles 1 and 2 are adjacent angles because they share an interior ray and they have a common vertex.
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