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:
common ratio:2 2. 18 3.36 4.72 equation: 4.5(
)
Step-by-step explanation:
144=2*2*2*2*3*3 9=3*3
the common ratio would be 2
2. 9*2=18
3. 18*2=36
4. 36*2=72
(check) 72*2=144
0. 9/2=4.5
equation: 4.5()
Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)
First, subtract 6 from both sides
-4x + 6 (-6) = -38 (-6)
-4x = -38 - 6
-4x = -44
Next, fully isolate the x by dividing -4 from both sides
(-4x)/-4 = (-44)/-4
x = -44/-4
x = 11
11 is your answer for x.
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Yes because if a negative sign is in a fraction doesnt matter where, it still show that the fraction is negative
