Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
You get the system of two equations:
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>
For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>
<u><em>Hope this helps.</em></u>
A. If you know the diameter, you can find the radius of a sphere by dividing the diameter in half. If you know the circumference, you can find the radius by dividing the circumference by 2 times pi
B. π × r2 × h
