Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify
10x^2 - 15x - 7
Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x


∵ cos (60°) = 1/2

Dividing both sides by 2

Simplify

Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵ 
Therefore, the value of y is:
Summary:
Answer:
162°
Step-by-step explanation:
a circle has 360°, or the angle of a whole circle is that
so 45% of 360 =
0.45 times 360 = 162
Answer:
41
Step-by-step explanation:
Given Expression:
(4 x 9 - 21) \ 3+6^2
Multiply 4 and 9 to get 36.
36 - 21 / 3 + 6^2
Subtract 21 from 36 to get 15.
15/3 + 6^2
Divide 15 by 3 to get 5.
5+6^2
Calculate 6 to the power of 2 and get 36.
5+36
Add 5 and 36 to get 41.
41
Answer:
507
Step-by-step explanation:
As they said, I will be using 3 as pi.
(pi)
(radius squared)
Without annotations: 

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