Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
Answer:
T-shirts and
Baseball Caps
Step-by-step explanation:
GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was
, and the profit on each cap was
.
TO FIND: If the students made a total profit of
, how many T-shirts and how many caps were sold.
SOLUTION:
Let the total number of T-shirts sold are 
Let the total number of Baseball Caps sold are 
Profit received on each T-shirt 
Profit received on each Baseball Caps 
Total profit received on T-shirts 
Total profit received on Baseball Caps 

Also,
The number of T-shirts sold was three times the number of caps.

putting in equation,





Hence total
t-shirts and
baseball Caps were sold.
<span>Jake
has 1 yard of cloth. He makes bookmarks that are each 1 1/8 inches long.
Let’s find out how many bookmarks can he make.
Unit of conversion:
=> 1 yard = 36 inches.
Now, he divided it to 1 and 1/8 inches
=> 1 and 1/8 = 1.125 inches
So let’s divide this with 36 inches
=> 36 / 1.125 = 32
Thus jake can make a total of 32 bookmarks out of 1 yard of cloth with a
measurement of 1 and 1/8 inches.
</span>
#11 is c:$27. im not sure about #10