Answer:
Rounded to the nearest tenth: 
in
Rounded to the nearest hundredth: 
in
Step-by-step explanation:
We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, 
, and its hypotenuse 10 in. To find , we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.
Rounded to the nearest tenth: in
Rounded to the nearest hundredth: in
Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE
I am assuming the expression is (2x-3)(x+5) or (2x-3)(x-5). I will teach you how to solve for both as I am not sure which one you are asking for. There are 4 steps to multiplying.
1) Multiply the x times the second x
2) Multiply x times the second number
3) Multiply the number by the second x
4) Multiply the number by the second number.
(2x*x)+(2x*5)+(-3*x)+(-3*5)=(2
)+(10x)+(-3x)+(-15)=2
+7x-15
(2x*x)+(2x*-5)+(-3*x)+(-3*-5)=(2
)+(-10x)+(-3x)+(15)=2
-13x+15
Your answer is 2
+7x-15 or 2
-13x+15. Does that answer your question?
Answer: 90 degrees clockwise
This is equivalent to 270 degrees counterclockwise
The rule for either rotation is 
The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).
The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).
Lamar used 80% of his data, so he used a greater percentage.
