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scoray [572]
3 years ago
14

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres

sion of the stake is 62º. Find the height of the balloon to the nearest foot.
List your knowns and unknowns.
Solve the problem. Make sure your answer contains units and is labeled clearly.
Check your answer.
Write 2-4 sentences explaining your solution/checking process.
Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

  • 79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

  • BS = 90 ft
  • m∠BSG = 62°
  • BG = x

<u>Use sine and solve for x:</u>

  • BG/BS = sin ∠BSG
  • sin 62° = x / 90
  • x = 90 sin 62 deg
  • x = 79 ft (rounded)
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sladkih [1.3K]
X + 5 + 11x = 12x + y

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Subtract 12x from each side makes each zero.

5 = y

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x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
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3 years ago
Can someone please help me with # 2 #13 thanks show work how it's done, please
zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

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As a check, let's plug those p,q values into the original expression

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3 years ago
Kareem buys candy that costs $4 per pound. He will spend at most $48 on candy. What are the possible numbers of pounds he will b
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Answer:

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

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If she sold $200,000 worth of goods.

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