Answers:
cos(A) = 0.8480
tan(B) = 1.6
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Explanation:
Before we can compute cos(A), we'll need to find the hypotenuse.
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 5^2 = c^2
89 = c^2
c^2 = 89
c = sqrt(89)
The hypotenuse is exactly sqrt(89) units long.
This will allow us to find the cos(A) value
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 8/sqrt(89)
cos(A) = 0.84799830400509 which is approximate
cos(A) = 0.8480 when rounding to four decimal places
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For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 8/5
tan(B) = 1.6
Answer:
<h2>
volume of the cylinder = 128πin³</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question;
'What is the exact volume of the cylinder? 32π in³ 64π in³ 128π in³ 512π in³ Cylinder with radius labeled 4 inches and height labeled 8 inches'
Volume of a cylinder = πr²h
r is the radius of the cylinder
h is the height
Given r = 4in
h = 8in
Volume = π(4)²*8
volume of the cylinder = 16π*8
volume of the cylinder = 128πin³
It's B
11×11=121
3.14×11×11=379.94
Answer:
D. 157°
Step-by-step explanation:
∠EFB and ∠AFB form a linear pair, so are supplementary.
∠EFB = 180° - ∠AFB = 180° -23°
∠EFB = 157°
Answer:
Step-by-step explanation:
Gives the above answer
