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2 years ago

If a filter can process 10 gallons of water per minute, then how many gallons of water can it process in one day

1 answer:

8 0

I don't know if this will be correct, but let me explain what I think, so a day has 24 hours so multiply 10 * 24 and your answer should be 240.

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A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle

tatyana61 [14]

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

by the hexagon and do the same steps 2 and 3 with the area not

occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = $\frac{0.827x}{x}$

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= $\frac{0.173x}{x}$

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

6 0

2 years ago

Considering only the values of β for which (1+cosβ)(1−cosβ)sinβ is defined, which of the following expressions is equivalent to

just olya [345]

The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β

<h3>What are Trigonometric Ratios ?</h3>

In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.

The trigonometric expression given in the question is

(1+cosβ)(1−cosβ)sinβ

(a+b)(a-b) = a² - b²

( 1 - cos²β)sinβ

By the trigonometric Identity

1-cos²β = sin² β

sin² β x sin β

sin³β

Therefore Option B is the correct answer.

To know more about Trigonometric Ratio

brainly.com/question/13724581

#SPJ1

7 0

1 year ago

maya plants 8 flower bulbs in the fall 2 purple 2 red and 4 pink find the probability that the first flower to bloom is pink

Natali5045456 [20]

Hello! So, you have 8 flowers. 2 are purple, 2 are red, and 4 are pink. That means, there are 4/8 or 1/2 Chance that the first flower to bloom will be pink. The probability is 1/2.

3 0

3 years ago

HELP PLEASE I HAVE A COUPLE MORE! Please help and fast would be great! BRAINLEST!!!

Harlamova29_29 [7]

Answer:

b. slope: -5; y-intercept: 7

Step-by-step explanation:

We are given the equation:

y + 5x = 7

To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Lets get the given equation into slope-intercept form.

y + 5x = 7

Subtract 5x from both sides.

y = -5x + 7

Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.

The correct answer choice would be b.

I hope you find my answer and explanation to be helpful. Happy studying.

3 0

2 years ago

−9x+4y=6 9x+5y=−33

blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

[1] -9x + 4y = 6

[2] 9x + 5y = -33

Graphic Representation of the Equations :

4y - 9x = 6 5y + 9x = -33

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 5y = -9x - 33

[2] y = -9x/5 - 33/5

// Plug this in for variable y in equation [1]

[1] -9x + 4•(-9x/5-33/5) = 6

[1] -81x/5 = 162/5

[1] -81x = 162

// Solve equation [1] for the variable x

[1] 81x = - 162

[1] x = - 2

// By now we know this much :

x = -2

y = -9x/5-33/5

// Use the x value to solve for y

y = -(9/5)(-2)-33/5 = -3

3 0

2 years ago