Answer:
V = 402.12385mm
Step-by-step explanation:
When the diameter is 8mm, the radius is 4mm.
V = (π(4^2))8
V = (16π)8
V = (50.2654)8
V = 402.12385
V ≈ 402, 402.1, 402.12, 402.124
Answer:
It is first one
Step-by-step explanation:
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:
The usual size of the container is 15 ounces.
Step-by-step explanation:
Consider the provided information.
A protein mix claims to contain a bonus of 20% more mix than the usual size container.
Let the usual size of the container was x ounces.
They increase 20% of usual size and the bonus size is 18 ounces.
Therefore, the new size should be:
(∴20%=
=0.20)
Hence, the usual size of the container is 15 ounces.
Answer:
j-4 is how you show 4 less than a number j
