Answer:
C
Step-by-step explanation:
SA=pi*r^2+pi*r*s
SA=3.14*3^2+3.14*3*8
SA=3.14*9+3.14*24
SA=103.62
SA= about 104 inches
Aubrey included the base (you can't put on a hat that has a bottom), the right work should be:
SAhat=pi*r*s
SAhat=3.14*3*8
SAhat=3.14*24
SAhat=75.36
SAhat= about 75
Thus, answer is C
Answer:
This table does represent a proportional relationship because the sale price and original price are going up at the constant rate of 10
Step-by-step explanation:
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
<u>y = -1</u>
Answer:
tan M = 
Step-by-step explanation:
To obtain tan M we require to find KL
Using Pythagoras' identity in the right triangle.
KL² + LM² = KM²
KL² + 7² = 25²
KL² + 49 = 625 ( subtract 49 from both sides )
KL² = 576 ( take square root of both sides )
KL =
= 24
Then
tan M =
=
= 
Answer:
24 GB
Step-by-step explanation:
Subtract the amount of money that was from the monthly plan:
75.99 - 59.99
= 16
Divide this by 4 to see how many extra GB were used:
16/4
= 4
This means that 4 GB were used beyond 20 GB.
This means 24 GB were used in total