Answer:
Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be 
of the circle's length (circumference).
The circumference of a circle is given by 
, where 
is the radius of the circle. Therefore, the circumference of the circle is 
. As we found earlier, the length of the arc is 
of this circumference. Therefore, the arc's length is 
.
To the nearest integer, this is 
.
Karmin will make $18.4 for working an hour after the increase.
Step-by-step explanation:
Step 1:
First, we need to determine how much Karmin made an hour.
Karmin's hourly rate 
So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.
She will get a 15% increase in her hourly rate this month.
Step 2:
We need to determine how much 15% of $16 is.
15% of $16 
So her 15% increase amounts to $2.4.
So the hourly rate for this month 
So Karmin will make $18.4 for working 1 hour.
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Answer: I know 12 is right
Step-by-step explanation:
Answer:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
