Answer:
Hope this helps
Step-by-step explanation:
AC=DF
AB+BC=DE+EF
*BC=DE*
AB+DE=DE+EF
AB=EF
Answer:
320
Step-by-step explanation:
42^2-38^2= (42+38)(42-38)
=80*4
=320
Answer:
x=4
Step-by-step explanation:
4(3+2x)+2=46
12+8x+2=46
12+8x=44
8x=32
x=4
We know that the area of a semicircle = 1/2(πr^2)
r = the radius
We also know that the area of a rectangle = xy
x = width
y = length
In our problem,
r = w
x = w
y = w + 5
A(w) = w(w + 5) - 1/2(πw^2)
Let's simplify the right side of the function.
A(w) = w^2 + 5w - 1/2πw^2
Answer:
891 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of cross- section and h is the height (
The cross- section is a trapezium with area (A) calculated as
A =
h ( a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 9, a = AB = 14 and b = CD = 8 , thus
A =
× 9 × (14 + 8) = 4.5 × 22 = 99 cm² , thus
V = 99 × 9 = 891 cm³