Answer:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m
C. Karla says that to solve the equation you first subtract 15 and then divide by 10.
Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2
10x + 15 = 20
10x = 20 - 15 (subtract 5)
10x = 5 (divide by 10)
x = 5/10 = 1/2
Answer:
Step-by-step explanation:
Let t represent the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50. Increase in hourly rates after t years would be 
The hourly rates after t years will be 10 plus .
We can represent this information in an equation as:
Therefore, the function represents Joseph's hourly rates after t years.
The function 
is the cosine curve with 5 as the amplitude and is shifted 1 units up.
Let's check all the 4 choices:
A.
The period of a function in the form 
(which is the function in this problem) has period 
. Period would have changed if there was any coefficient of x in the argument. But it doesn't so period is NOT 
.
B.
The amplitude of a function in the form (which is the function in this problem) is A. But A is 5 here so the amplitude is definitely NOT 2.5.
C.
A zero of the function is given as 
, which means that if we plug in 
into x, it should give us 0. Let's check:
. It's not true.
D.
We know that this function has an amplitude of 5, so the part 
ranges from -5 to 5. But this part is shifted 1 units up, so the max amplitude is 
and the min is 
. So we can say that the range of the function is the set of real numbers from -4 to 6. This choice is correct.
ANSWER: Last choice, choice D.
