Answer:
x² + x - 30
Step-by-step explanation:
Given
(x - 5)(x + 6)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 6) - 5(x + 6) ← distribute both parenthesis
x² + 6x - 5x - 30 ← collect like terms
= x² + x - 30
We have been given that
and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.

This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.

Now we will find adjacent side using Pythagoras theorem as:




Let us take positive square root on both sides:

Therefore, adjacent side of angle A is 5 units.

Therefore, the exact value of cot A is
.
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
Hello,
y=sin²(cos(2x))
y'=2*sin(cos(2x))*cos(cos(2x))*(-sin(2x)*2)
= -4*sin(cos(2x))*cos(cos(2x))*sin(2x)
The answer is actually D. Since 2.5 is a side of each tiny block, there is 3 sides that you are going to multiply together. There is 5,2 and 4 because we are multiplying the length,width and side. So the length is 2.5*5=12.5 which was correct. The width is 2.5*4=10 which you had but you crossed it out. Then lastly you are looking for the side of the shape. 2.5*2=5. Now that I have everything I just need to multiply everything together. 12.5*10*5=625 in³. I hope this helped you!