Answer:
12cm
Step-by-step explanation:
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
<u>C=45h+30</u>
<u>C=45(6.5)+30</u>
Im using a decimal because it should be clear 1/2=0.5
<u>C= 292.5+30</u>
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
<u>C=$322.50</u>
180- 113 = 67
180- 67= 113
<5= 67
<2=113
5.4 because the 9 bumps it to 5.35.
And the 5 bumps it to 5.4.
The answer is D. If you substitute those values for n, you should be able to find that 4 makes the expression equal to 6.
