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N76 [4]
3 years ago
13

A hot-air balloon is sighted at the same time by two friends who are 1.0 mile apart on the same side of the balloon. the angles

of elevation from the two friends are 20.5° and 25.5°. how high is the balloon? (young 487) young, cynthia y. precalculus: with limits, 2nd edition. wiley, 2014-01-06. vitalbook file.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0
Tan 25.5 = h/x

Tan 20.5 = h / x+1

x tan 25.5 = (x+1) tan 20.5

x 0.476975532 = (x+1) 0.373884679

0.476975532x = 0.373884679x + 0.373884679

Deduct both sides by .373884679

0.103090853x = 0.373884679

x = 3.6267 is the first person.

Add one to get for the second person

X = 4.6267
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4 years ago
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Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.)
mote1985 [20]

For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

<h3>Integers divisible by 3</h3>

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

<h3>Proof for the divisibility</h3>

111 = 1 + 1 + 1 = 3  (the sum is multiple of 3 = 3 x 1)  (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2)  (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2)  (213/3 = 71)

27 = 2 + 7 = 9  (the sum is multiple of 3 = 3 x 3)  (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Learn more about divisibility here: brainly.com/question/9462805

#SPJ1

5 0
2 years ago
1.) The graph of g(x) = ax? opens downward and is narrower than the graph of f(x) = x? Which of the following
laila [671]

Answer:

C. -5

Step-by-step explanation:

for g(x) =ax and f(x) = x, both are linear function. There is nothing to be upward or downward and both are lines nothing to compare its narrowness.

If g(x) = ax² vs f(x) = x²

Then a = -5 is the answer (-: downward and 5: vertical stretch)

8 0
3 years ago
Ammar hikes 2 3/4 miles of nature trail in 1 hour15 minutes. How many miles of trail does am mar hike per hour
AleksandrR [38]
Change 1 hour 15 minutes = 1.25 hour because 15 ÷ 60 = 0.25 so we add 0.25 hour and change 2 3/4 to 2.75
Equation: \frac{2.75}{1.25}=  \frac{?}{1} 
Multiply 2.75 × 1 = 2.75 ÷ 1.25 = 2.2 miles
I'm pretty sure this is correct
4 0
3 years ago
Solve each of the triangles for each of the unknown ^e= . f=3cm . e= . ^e=
Alja [10]

Answer:

I don't know

Step-by-step explanation:

Use the app and search it instead of waiting.

4 0
2 years ago
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