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3 years ago

Consider a cylinder with a radius of 6 ft and height of 11.5

1 answer:

6 0

The formula for a cylinder V= pi r squared times the height. I should suppose you were told to abbreviate pi to 3.14. First do 6 to the power of 2 which is 36 then multiply it by 3.14 witch would be 113.04. Then multiply that by 11.5 which would be 1299.96

The answer is 1299.96

You might be interested in

R2+2r-33=0 solve by completing the square

-BARSIC- [3]

R^2+2r-33=0 move constant to other side by adding 33 to both sides

r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one

r^2+2r+1=34 now the left side is a perfect square...

(r+1)^2=34 take the square root of both sides...

r+1=34^(1/2) subtract 1 from both sides

r=-1+34^(1/2) and -1-34^(1/2)

8 0

3 years ago

Western Athletic Club International (WACI) owns and operates a chain of fitness clubs. Currently WACI has 675 members at its Col

Ad libitum [116K]

Answer:

12%

Step-by-step explanation:

let x represent the actual number of members last year.

current members = 675 and with an increment of 13% over previous year

to find the increment

(675 - x) / x = 0.13

675 - x = 0.13x

collect the like terms

675 = 0.13x + x

675 = 1.13 x

x = approx 597 members were there last year

its hope to increase by the same number next year

percent increase = 675 - 597 / 675 = 78 / 675 = 0.12 = 12%

4 0

3 years ago

On a coordinate plane, the x-coordinate is negative and the y-coordinate is positive in which quadrant?

Nataly [62]

When x is lesser than 0

6 0

3 years ago

Help plz find the equation

tatiyna

Question # 1

Step-by-step Explanation:

Given

$\frac{1}{2}\div \frac{2}{3}$

solving

$\frac{1}{2}\div \frac{2}{3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{1}{2}\times \frac{3}{2}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{1\times \:3}{2\times \:2}$

$\mathrm{Multiply\:the\:numbers:}\:1\times \:3=3$

$=\frac{3}{2\times \:2}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:2=4$

$=\frac{3}{4}$

Therefore, completing the blanks:

$\frac{1}{2}\div \frac{2}{3}=\frac{1}{2}\times \frac{3}{2}=\frac{3}{4}$

Question # 3

Step-by-step Explanation:

Given

$\frac{2}{5}\div \frac{3}{4}$

solving

$\frac{2}{5}\div \frac{3}{4}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{2}{5}\times \frac{4}{3}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{2\times \:4}{5\times \:3}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:4=8$

$=\frac{8}{5\times \:3}$

$\mathrm{Multiply\:the\:numbers:}\:5\times \:3=15$

$=\frac{8}{15}$

Therefore, completing the blanks:

$\frac{2}{5}\div \frac{3}{4}=\frac{2}{5}\times \:\frac{4}{3}=\frac{8}{15}$

Question # 5

Step-by-step Explanation:

Given

$\frac{3}{4}\div \frac{5}{7}$

solving

$\frac{3}{4}\div \frac{5}{7}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{3}{4}\times \frac{7}{5}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{3\times \:7}{4\times \:5}$

$\mathrm{Multiply\:the\:numbers:}\:3\times \:7=21$

$=\frac{21}{4\times \:5}$

$\mathrm{Multiply\:the\:numbers:}\:4\times \:5=20$

$=\frac{21}{20}$

Therefore, completing the blanks:

$\frac{3}{4}\div \frac{5}{7}=\frac{3}{4}\times \:\frac{7}{5}=\frac{21}{20}$

6 0

3 years ago

Factor completely 15x2 - 6x + 5xy – 2y

vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0

3 years ago