Given the triangle below, which of the following is a correct statement? (4 points)

Mathematics

1 answer:

musickatia [10]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

Something is wrong with the Question statement, most likely the leg/hypotenuse lengths. Until the Question is clarified, no answer can be provided.

Discussion:

Triangle ABC is a right triangle so the longest side (BC = 6) is the hypotenuse. Applying the Pythagorean theorem gives this:

AB^2 + AC^2 = BC^2

or substituting the values given

4^2 + 5^2 = 6^ 2 => as 4^2 = 16 , 5^2 = 25, and 6^2 = 36

16 + 25 = 36

But this is a contradiction as 16 + 25 = 41 not 36.

Thank you,

MrB

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How do you do this question?

Lisa [10]

Answer:

Correct integral, third graph

Step-by-step explanation:

Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.

Given : ∫ tan²(θ)sec²(θ)dθ

Applying u-substitution : u = tan(θ),

=> ∫ u²du

Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1

Substitute back u = tan(θ) : tan^2+1(θ)/2+1

Simplify : 1/3tan³(θ)

Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.