Answer:
Step-by-step explanation:
a. sin^-1(sin theta) = theta
(1/sin)(sin theta) = theta
<em>the sines cross out</em> theta = theta
b. cos(cos^-1x) = x
cos(x/cos) = x
<em>the cosines cross out </em>x = x
Answer:
x - 2, if x > 5
Step-by-step explanation:
The vertical lines either side of the expression mean absolute value.
The absolute value of a number is its <u>positive numerical value</u>.
if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive. Therefore, we can disregard the absolute value.
Therefore:
x - 2, if x > 5
To find the range (output values) of the expression, substitute x = 5 into the expression:
⇒ 5 - 2 = 3
Therefore, |x - 2| > 3, if x > 5
70% of 100 is 70 students.
Unfortunately I can not make a model for you but here's an idea:
Draw a large circle.
Next, draw a line halfway down the circle, and halfwar down draw another line to the right, this making it look like three fourths.
Then, color the larger space in one color and the other smaller space that looks like a small slice of pie in another color.
On the larger piece write "70% who got an A" and on the smaller write "30% who didn't get an A"
At the bottom you can write 70 students out of 100 got an A on the test.
This statement will be
false. -7+9=2
-9+7=-2

, therefore, this statement is false.
The answer is in the photo provided