The equation is a reduction
it’s scale factor is 1/ 2
an algebraic representation for the dilation is written as (x, y) -> (kx, ky), with k being the variable for the scale factor
(2, 6) -> (1/ 2 • 2, 1/ 2 • 6)
The answer is C ... or you could say n<3
let the original price be x.
then,
x- 25% of x= 24
x- 25x/100 = 24
x- x/4=24
3x/4=24
3x= 96
x= 32
in short...the original price= 32 dollars
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
see explanation
Step-by-step explanation:
Given
A =
bh
a. substitute b = 6 and h = 5 into the formula
A =
× 6 × 5 =
× 30 = 15 units²
b.
Multiply both sides of the formula by 2
2A = bh, that is
bh = 2A ← divide both sides by b
h =
=
=
= 8
c
Using
bh = 2A ← divide both sides by h
b =
=
=
= 6