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shutvik [7]
2 years ago
8

Find the volume of the solid whose base is the unit circle, and whose cross-sections perpendicular to the x-axis are rectangles

whose bases (on the xy-plane) are three times smaller than their heights
Mathematics
1 answer:
joja [24]2 years ago
7 0

The volume of the solid (cylinder) is 6π unit³,

<h3>Volume</h3>

The volume of an object is the amount of space occupied by a three dimensional object.

A solid with a circular base and a vertical cross section is a cylinder.

Therefore the solid shown in the problem above is a cylinder.

A unit circle has a radius of 1, hence the radius of the cylinder = 1 unit, diameter = 2 * radius = 2 * 1 = 2 unit

Height of cylinder = 3 * diameter = 3 * 2 = 6 unit

Volume of cylinder = π * radius² * height = π * 1² * 6 = 6π unit³

The volume of the solid (cylinder) is 6π unit³.

Find out more on Volume at: brainly.com/question/1972490

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Answer:

+ or - 0.044

Step-by-step explanation:

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The length of a rectangle is twice its width. if the perimeter of the rectangle is 36 cm , find its area.
Brut [27]
L = Length
W = Width

L x W = area
Length = 2w

Lets find the width by solving for w.
2w + w = 36 
3w = 36
3w/3 = 36 / 3 
w = 12

So
L = 2 x 12 = 24
W = 12
L X W = area
24 x 12 = 288 cm^2

6 0
3 years ago
Find the quotient of 2/5 and 4/5<br> Give your answer as a fraction in its simplest form.
mixer [17]

Answer:

\frac{1}{2}

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify. (x2+2x-4)+(2x-5x-3)​
vladimir2022 [97]

Answer:

Step by Step Solution

More Icon

STEP

1

:

3

Simplify ——

x2

Equation at the end of step

1

:

3

((((2•(x2))-5x)-——)+2x)-3

x2

STEP

2

:

Equation at the end of step

2

:

3

(((2x2 - 5x) - ——) + 2x) - 3

x2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

4

:

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

4 0
3 years ago
Which equation is made true by the opposite angles theorem?
Oksana_A [137]

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

or

y = 50

4 0
1 year ago
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