Answer:
A tranlation and a rotaion.
Step-by-step explanation:
In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
Answer:
Line JK passes through points J(-4,-5) and K(-6, 3).
Line JK has form of y = mx + b
=> -5 = -4m + b
=> 3 = -6m + b
Subtract 2nd equation from 1st equation:
=> -8 = 2m
=> m = -4
Substitute back m = -4 into 1st equation:
=> -5 = -4(-4) + b
=> b = -21
Hope this helps!
:)
You can say : 15% ⇒ ? if 100% ⇒ 32.50 $
so next you can say : 15/100 = ?/32.50 ⇒ ? = (15/100) × 32.50 = 15 × 32.50 ÷ 100 = 4.875 ⇒ so the answer is 4.785 $ ;D i hope this will be helpful :))
3x+9=5
3x=-4
x=-4/3
8z-1=11
8z=12
z=12/8
z=3/2
Hope u can do rest