Finding the tangent of angle E
2 answers:
Answer:
tan(E) =
Step-by-step explanation:
Given: ED = 4 and CD = 6
Step 1 : Find CE
ED² = CE² + CD²
(4√6)² = (CE)² + (6√2)²
96 = CE² + 72
24 = CE²
CE = 2√6
Step 2 : Find ∠E using side lengths
Based on our leg lengths : 6√2 & 2√6 , we can conclude that this is a
30-60-90 triangle (the sqaures are opposites yk)
Because 6√2 is the larger leg, and ∠E is opp side of CD,
∠E = 60
From there all you do is find the tangent with a calculator "tan(60)"
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Answer:
7
Step-by-step explanation:
The average rate of change of f(x) in the close interval [ a, b ] is
Here [ a, b ] = [2, 5 ]
f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15
f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus
average rate of change = =
= 7