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.
Divide each side by 4 (division property of equality lets us do this) to find the price of one tomato.
(85 cents)
Answer:
7) Mean = 48 8) Mean = 59.6 9) Mean = 31.6 10) Mean = 42.1
Median = 47.5 Median = 61 Median = 32 Median = 40
Mode = 72 Mode = 90 Mode = 46 Mode = 51
Range = 66 Range = 79 Range = 34 Range = 51
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When you double the dimensions of a triangle, the area is four times as large, so if you quadruple it, it would be 16 times as large
