Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
The volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of combined figure is:
Therefore, the volume of the figure is 381 cubic in.
Answer:
f-1(x) = (x-8)/2
Step-by-step explanation:
f(x) = 2x+ 8
y = 2x + 8
replacing y and x
x = 2y + 8
2y = x- 8
y =( x-8)/2
f-1 (x) =( x-8)/2
Answer:
nearest tenth is 23.5
nearest hundredth is 23.55
Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55
Answer:
1/2
There are three numbers above 3
And there are a total of 6 sides
Thus giving us 3/6
Simplify to get 1/2
Answer:
1) A and D
The radius is the distance from the center of a circle to any part of the edge. Both A and D have a radius of three, regardless of what direction they go.
2) 5"
In circle C we see that there is a line segment that is 5" that goes from the center to the edge, or the radius.
3) C
The different variables are representing different points on the circles. The circle that contains a line connecting C and L is circle C.
4) BN
Circle B contains a radius that is the distance from B to N, or BN.
5) EF
The diameter is the distance of a straight line that was pass through the middle of a circle, or its width. The diameter is double the radius. In circle A we see that line EF passes through the center put goes all the way across the circle.
6)IJ
Line IJ isn't even linear, so it could not be the radius. Both AG and BH are straight lines that represent the radius.
7) 6"
The diameter is always twice the radius. In circle A the radius is 3, so the diameter is 6.
8) A and D
Just as we said in the first answer, A and D both have a radius that measures 3 inches.
I hope this helps!
Step-by-step explanation:
