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: 6
Step-by-step explanation:
n/3 - 8 = -2
Multiply 3,
n3 -24 = -6
add 24 to -6
n3 = 18
divide by 3
n = 6
Answer:
-8x-8
Step-by-step explanation:
Since 16x and -24x have like variables, we can subtract to get -8x. Then, we can add the constants to get -8.
