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:
Graph A fails the vertical line test
Step-by-step explanation:
The vertical line test will fail when a vertical line touches two or more points on the graph
Graph A will fail the vertical line test. The y axis touches two points on the graph.
My solution to the problem is as follows:
Just multiply the number of each choice:
<span>6*3*2= 36
</span>
Therefore, there are 36 ways of choosing a book.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
I needed help with that too
The best way to do this is to set up a proportion
2 5
--- = ----
5 x
then cross multiply and divide
5 times 5=25/2=12.5
he would move 12.5 feet in 5 hours
I hope I've helped!
