Answer:
I think the answer is 10 hours
the 11.95 seems wrong
Step-by-step explanation:
![\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%20%20%2B%20%5Cfrac%7B1%7D%7By%7D%20%20%20%3D%20%5Cfrac%7B1%7D%7B3.75%7D)
multiply by 22.5 y
3.75 y + 22.5 = 6y
y = 10
Negative means less.
Positive means more.
as a negative # moves farther away from 0, it becomes smaller.
i.e.
-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7
-5 less than 7.
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
The sum of the angles of a quadrilateral is 360 degrees. So P+Q+R is 206, 360 - 206 = 154 degrees, the measure of angle S.
The four triangles, AQB, BRC, CSD, and DPA are all isosceles. So angle QBA = angle BAQ, etc. We find QBA = (180-24)/2 or 78 degrees.
RBC = (180-114)/2 = 33 degrees.
180 - (78 + 33) is the measure of angle B: 69 degrees.
The student should be able to see how to calculate the missing information from this.
Answer:
![2/3](https://tex.z-dn.net/?f=2%2F3)
Step-by-step explanation:
The total number of sums (not distinct) is
, because we're removing without replacement.
Count the sums that fit the stipulation (sum
5):
There are 8 sums that work. Therefore, the desired answer is ![\frac{8}{12}=\boxed{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B12%7D%3D%5Cboxed%7B%5Cfrac%7B2%7D%7B3%7D%7D)