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VashaNatasha [74]
3 years ago
14

A hawk takes flight from a mountain peak and flies 800 meters west. Then it takes a turn and flies 200 meters south. What is the

distance and direction of the hawk from the mountain peak?
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Answer:

the hawk has flow 824.62 meters southwest of the mountain peak.

Step-by-step explanation:

In order to find the distance we need to use the Pythagoras theorem

d^2 = 800^2 + 200^2

d= 824.6 m

we can find the direction by using the eq for a tangent

he opposite side is 200 m and the adjacent side is 800m

tan theta = opposite / adjacent

theta = arc tan (800/200)

The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.

The final location will be southwest of the mountain peek.

a2+b2=c2

a = 200

b= 800

c = √(2002+8002) = 824.62

So the hawk has flow 824.62 meters southwest of the mountain peak.

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3 years ago
The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she
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Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation:

<u>Complete Question:</u>

<em>The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns </em>

<em>The table shows the amount of money Susan cams for different numbers of hours worked</em>

<em>Susan's Earnings </em>

<em>Time (h)           Money Earned</em>

<em>5                              40</em>

<em>8                              64                </em>

<em>10                             80</em>

<em>(a) How much money does Sandra eam per hour? Show your work </em>

<em>(b) Who earns more per hour? Justify your answer</em>

<em />

<em />

<u>Answer:</u>

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

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$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

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10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

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