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Murljashka [212]
3 years ago
11

In the paper drive, 4 boys brought old papers to school as follows: Fred, 30 pounds; Albert, 40 pounds; Henry, 10 pounds; and Pe

ter, 40 pounds. What was the average number of pounds they brought?
A: 25 pounds
B: 30 pounds
C: 35 pounds
D: 40 pounds
E: none of the above
Mathematics
2 answers:
seraphim [82]3 years ago
5 0
B: 30 pounds is the correct answer
ki77a [65]3 years ago
4 0

Answer:

The average number of pounds they bought was 30 pounds.

Step-by-step explanation:

we know that

To find out the average number of pounds, add the total number of pounds for each boy and then divide by the number of boys.

so

therefore

The average number of pounds they bought was 30 pounds.

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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

QA / QB = 2/3

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.

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