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Alekssandra [29.7K]
3 years ago
13

Mr. Torres took his students to the dolphin show. Each row in the stadium has 11 seats. One adult sat at each end of the row, an

d each group of 4 students was seated between 2 adults. Mr Torres sat by himself. How many adults were there?
Mathematics
1 answer:
hjlf3 years ago
8 0
I’m pretty sure there were 5 adults.
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Find the measure of each angle in the triangle.
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What is the equation of a line that passes through (7,8) and has a slope of -3
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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

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QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
What is the answer to this question
Marat540 [252]

Answer:

48 units

Step-by-step explanation:

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