Answer:
Step-by-step explanation:
The length and the width are based on the height.
height: h
length: 5h + 2
width: 3h - 2
If the sum of those is 126, then:
h + 5h + 2 + 3h - 2 = 126 and
9h = 126 so
h = 14
length is 5(14) + 2 which is 72
width is 3(14) - 2 which is 40
The volume is found by multiplying the length times the width times the height:
14 * 72 * 40 = 40,320 inches cubed
Answer
C) 160 in^2
Step by step explanation
First, let's find the area of the rectangle.
Area of a rectangle = length x width
The area of the rectangle = 20 * 10
= 200 in^2
Now let's find the area of the triangle that is removed.
Area of a triangle = 1/2 base * height.
Here base = 10 and height = 8. Plug in these values into the formula, we get
Area of the triangle = 1/2 * 10*8
= 5* 8
The area of the triangle = 40 in^2
The area of the remaining figure = Area of the rectangle - area of the triangle
= 200 - 40
= 160 in^2
The answer is "160 in^2"
Thank you.
Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase
Answer:
x = 10
Step-by-step explanation:
Since the triangle is right use the sine ratio to find x
sin30° = 
= 
cross- multiply
x × sin30° = 5 ( sin30° = 0.5 )
0.5x = 5 ( divide both sides by 0.5 )
x = 10
