Answer
A) 2160 cubic inches
Step by step explanation
Volume of a rectangular prism = length *width*height.
The give figure (stairway) consists of two rectangular prism.
The volume of the first rectangular prism (bigger one) = 12 *10*12
=120*12
1 st prism = 1440 cubic inches
The volume of the rectangular prism 2 (smaller one) = 12*10*6
=120*6
The volume of the rectangular prism 2 = 720 cubic inches
The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2
= 1440 + 720
The volume of the concrete stairway = 2160 cubic inches.
Thank you.
E=47
g=137
f=133
h=48
e=42
f=138
Answer:
5/12
Step-by-step explanation:
Just took quiz and got problem right.
Answer:
Step-by-step explanation:
When answering questions like this, we have to first decide which function we have to use. This is done by looking at the given domains (the x≤-2 etc). The first question ( f(-2) ), means we have to choose the function that applies to the x-coordinate -2. x=-2 is part of the section x ≤-2 since the sign means larger or equal to -2. Hence, we use the function 2x+8 to calculate f(-2). After finding this, the solving is relatively easy, just fill in the x-coordinate:
f(-2) = 2 * -2 + 8 = -4 + 8 = 4
The second one needs the same method. x=3 belongs in the section
-2 < x ≤ 3, since the final part means x is smaller or equal to 3, and in this case it is. Hence we use
here:
f(3) = 3² - 3 = 9 - 3 = 6
I hope this helps! Feel free to reach out if you still have questions
The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.
Find the lengths of FM and ML. Then, FM + ML = FL
<u>FM</u>
ΔFKM (45°-45°-90°): FK is the hypotenuse so FM =
<u>ML</u>
ΔLKM (30°-60°-90°): from ΔFKM, we know that KM =
, so KL =
<u>FM + ML = FL</u>

= 