Answer: m = 16
Remember: the base angles of a trapezoid are congruent.
Form your equation.
4m + 1 = 2m + 33
Solve for m.
4m + 1 = 2m + 33 Subtract 1 from both sides
4m = 2m + 32 Subtract 2m from both sides
2m = 32 Divide by 2 to both sides
m = 16 Answer!
You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
First find the volume of the cylinder.
The formula is: V=πr²h
Plug the numbers in the figure into the formula.
V=πr²h
V=π×3²×10
V=π×9×10
V=π90
V=282.743
Therefore, the volume of the cylinder is approximately 282.7in³
Find the volume of the rectangluar prism.
V=lwh
V=12×7×4
V=84×4
V=336
Therefore, the volume of the rectangular prism is 336in³
Add the volumes:
282.7+336=618.7
The volume of the composite solid is approximately 618.7in^3
Answer:
28
Step-by-step explanation:
To find the area of the shaded region, you have to start off with the area of the whole triangle. To find that, you multiply the height and length. length=10 height=8 (10x8=80). Then, since it's a triangle, you have to divide it by two (80/2=40). So, 40 is the area of the whole triangle. Then, you find the area of the white region, which is 12 (3x4=12). Finally, you take the area of the white square and subtract it from the area of the whole triangle (80-12=28). You would get 28.
Answer:
This cannot be simplified any further. That is the simplest you'll get.
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
