Mark has a board that is 12 feet long. He cuts the board into 8 peices that are the same length. How long is each peice

Mathematics

1 answer:

enyata [817]3 years ago

7 0

Each piece is 1.5 feet long.

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What is the volume of a cylinder with a height of 19.1 in and a base with a diameter of

aliya0001 [1]

Answer:

V = 2458.10 cubic inches

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of the cylinder

π - pie

r - radius of the cylinder

h - height of the cylinder

Given :

π - 3.142

h - 19.1 inches

d - 12.8 inches

Calculate the radius

Diameter = 2 * radius

Radius = diameter/2

r = 12.8/2

= 6.4 inches

Find the volume

V = 3.142 * (6.4)^2 * 19.1

= 3.142 * 40.96 * 19.1

= 2458.0997 cubic inches

To nearest tenth

V = 2458.10 cubic inches

3 0

3 years ago

Solve the linear equation.

Akimi4 [234]

$7x+10=13(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=(13)(12x)+(13)(-3)+14x\\\\7x+10=156x-39+14x\\\\7x+10=170x-39\qquad\text{subtract 10 from both sides}\\\\7x=170x-49\qquad\text{subtract 170x from both sides}\\\\-163x=-49\qquad\text{divide both sides by (-163)}\\\\\boxed{x=\dfrac{49}{163}}$