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.
Answer:
-15 and -2
Step-by-step explanation:
Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.
Negative Factors of 30:
-30 + -1 = -31
-15 + -2 = -17
-10 + -3 = -13
-6 + -5 = -11
The two factors of 30 that add up to -17 are -15 and -2.
Hope this helps. Have a nice day.
Answer:
Step-by-step explanation:
Given that the number of males in the classroom is three more than twice the number of females.
the total number of students is 57
Let x be the no of males then no of females = 
Also we have 3 more than twice no of females as
This equals x
No of males = 39, no of females = 18
In financial<span> planning, </span>polynomials<span> are used to calculate interest rate problems that determine how much money a person accumulates after a given number of years with a specified initial investment.</span>
Answer:
132 cm
Step-by-step explanation:
22x6=132
