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:
4 is the median to your problem
Answer:
n = 18
Step-by-step explanation:
2n - 5 = 31
Add 5 to each side
2n - 5+5 = 31+5
2n = 36
Divide each side by 2
2n/2 = 36/2
n = 18
We conclude that the final amount that she has in her bank account is $375.
<h3>
How much has Tara in her bank account now?</h3>
Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.
Then she received 3 checks for $35 each, so at this point she has:
$350 + 3*$35 = $455
Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:
$455 - 2*$41 = $375
We conclude that the final amount that she has in her bank account is $375.
If you want to learn more about additions and subtractions:
brainly.com/question/25421984
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The formula for finding the length is
All we have to do is plug in the numbers.
36 + 64 = 100
Since 100 =
we have to find the square root.
The length of the slide is 10 feet.
