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.
Write and solve an equation:
Total earnings = $782.75 = s(40 hrs) + 1.5*s*(7 hrs)
Then 782.75 = 40s + 10.5s = 50.5s
Dividing both sides by 50.5: s = 15.5. The attendant's regular hourly wage was $15.50.
Answer:
4) 6 students
5) 7 fewer students
6) No, you can not tell from the frequency table how many students ran a mile in exactly 12 minutes.
Step-by-step explanation:
4) you’d look at the row from 8:00-8:59.
5) Add the first two rows together (6+2=8), then subtract that by the sum of the last two rows (9+6=15), which is 7
6) There’s no pattern in the frequency table, and the data points would be plotted differently since it’d be from a range of times, not one set time.
Hope this helped, sorry if I’m wrong on #6 ;)
40 * 7.85 = 314
32.24 + 24.02 + 24.53 = 80.79
314 - 80.79 = 233.21
Answer is D
