Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L
She needs 0.1 because 4x4 is 16. :)
If you use the formula V=bh you can find the volume of a tranangular prism.
To find the area of the triangle you have to use the formula A=1/2bh
A=1/2(14)(20)=140ft2= Base of the triangle
V=bh V=140x30
V=4200ft2
Answer:
(-8,4)
Step-by-step explanation:
Given: 2x-3y=-28 and x+6y=16
solve for a variable and then substitute back into other equation
x + 6y = 16
x = 16 - 6y; now use this in the other equation
2x - 3y = -28; substitute into x
2(16 - 6y) - 3y = -28; distribute 2
32 - 12y - 3y = -28; combine y's
32 - 15y = -28; isolate 15y
32 + 28 = 15y; add the numbers
60 = 15y; divide by 15
y = 4
Now use this to plug into other equation
x + 6y = 16; y=4
x + 6(4) = 16;
x + 24 = 16; subtract 24 from both sides
x = -8
x = 3x - 70 as corresponding angles
2x = 70
x = 35
∠LMN = 3x - 70 = 3*35 - 70 =35⁰
∠LMN = 35⁰
