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2 years ago

Please help!!! 20 points

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

4 0

Answer:

Step-by-step explanation:

Nuetrik [128]2 years ago

4 0

Answer:

no wate C) brainlist plz :-)

Step-by-step explanation:

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2 years ago

Find the volume of this cylinder. Please help

algol13

Answer:

$\boxed {\boxed {\sf 384 \ ft^3}}$

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

$V= \pi r^2 h$

Where:

r= radius
h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

r= 4 ft
h= 8 ft
π= 3

Substitute the values into the formula.

$V= (3)(4 \ ft)^2 (8 \ ft)$

Solve the exponent.

(4 ft)²= 4 ft * 4 ft = 16 ft²

$V= (3)(16 \ ft^2)(8 \ ft)$

Multiply the three numbers together.

$V= 48 \ ft^2 (8 \ ft)$

$V= 384 \ ft^3$

The volume of the cylinder is approximately 384 cubic feet.

8 0

2 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

Completing the square

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

1 year ago