A rectangular swimming pool is 17 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its
volume?

Step-by-step explanation:

Check out the attached photo.

A cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.

A cube is a three-dimensional shape that has equal length, width, and height.

We are given that the height of a cube is 1 unit. Since the length, width, and height of a cube are always equal, therefore:

Length of the cube =1 unit

Width of the cube = 1 unit.

In summary, a cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.

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[tex] \huge\rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} [/tex]

[tex] \huge\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} [/tex]

We know that,

sine is the ratio of adjacent side over the hypotenuse.

[tex] \rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} = \frac{adjacent \: side}{hypotenuse} \\ [/tex]

also,

cosine is the ratio of base over the hypotenuse.

[tex]\rightarrow\cos( θ ) = \frac{?}{5} \\ [/tex]

[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - ( - 2\sqrt{ 5} {}^{} ) {}^{2} } }{5} \\ [/tex]

[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - {(2\sqrt{ 5})}^{2} } }{5} \\ [/tex]

[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{25 - 20} }{5} \\ [/tex]

[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} \\ [/tex]

since ,cosine is always positive in the quadrant IV, option 3rd =√5/5 is correct ✓

Note:-

★theta to be used as A

[tex]\\ \rm\Rrightarrow sinA=\dfrac{-2\sqrt{5}}{5}[/tex]

Now

[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-(dfrac{-2\sqrt{5}}{5})^2}[/tex]

[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-\dfrac{20}{25}}[/tex]

[tex]\\ \rm\Rrightarrow cosA=\sqrt{\dfrac{25-20}{25}}[/tex]

[tex]\\ \rm\Rrightarrow cosA=\dfrac{\sqrt{5}}{5}[/tex]

Option C

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

Step-by-step explanation:

Doesn't the line show where the median is? Then it would be class 1

The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361

Answer:

35%

Step-by-step explanation:

I'm sorry if it isn't right but I tried.

Answer:

Step-by-step explanation:

3.993,

3.99

[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Option C

Let's look up at an example

Distance:-

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

Answer:The reason for brainly having ads is because this platform is free, therefore they need ad revenue

Step-by-step explanation:

Answer:

[tex]beinggreat78~here~to~help![/tex]

Brainly has ads to pay for their web page. Most web pages that are free-to-use have ads so that they can afford the bills for their company. However, I would not recommend clicking random ads. If your account is old enough, or you have Brainly Plus, you can go ad-free and gets tons of answers a day!

Answer:

[tex]2n=\dfrac{15}{2}[/tex]

Multiply both sides by 2:

[tex]\implies 2 \cdot 2n=2 \cdot \dfrac{15}{2}[/tex]

[tex]\implies 4n=15[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4n}{4}=\dfrac{15}{4}[/tex]

[tex]\implies n=\dfrac{15}{4}[/tex]

[tex]\dfrac14=\dfrac{n}{5}[/tex]

Multiply both sides by 5:

[tex]\implies 5 \cdot \dfrac14=5 \cdot \dfrac{n}{5}[/tex]

[tex]\implies \dfrac54=n[/tex]

[tex]\implies n=\dfrac54[/tex]

Answer:

Step-by-step explanation:

2n = 15/2

Divide both sides b y 2:

n = 15/2 / 2

   = 15/2 * 1/2

    = 15/4.

1/4 = n / 5

Multiply both sides by the LCM (20):

20/4 = 20n/5

5 = 4n

n = 5/4.

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

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Answer:

8/50

Step-by-step explanation:

find the total number of 7th grade boys

put that in the numerator

I'm assuming you're trying to get the probability of picking a 7th grade boy out of all the kids in the soccer camp so 50

Answer:

-2x

Step-by-step explanation:

x-(-3)

-2x

answer will be -2x ok follow me

Answer:

6 rides

Step-by-step explanation:

Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides.  Dividing both sides by $2.25/ride yields 6.

Justin has enough on his bus card for 6 more rides.

Answer:

D

Step-by-step explanation:

3s = 8s - 5s

8s = 8s

s = 0, 1, 2, 3.......

so infinite solutions

D)

Given equation:

To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.

⇒ [tex]3s = 8s - 5s[/tex]

⇒ [tex]3s = s(8 - 5)[/tex]

⇒ [tex]3s = s(3) = 3s[/tex]

⇒ [tex]3s= 3s[/tex]

Since both sides of the equation are the same, this system of equations has infinite solutions.

We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.

Answer:

4 1/4 cups were served

Step-by-step explanation:

Just multiply 5 2/3 cups by 3/4:  

17      3

---- * ---- = 4 1/4 cups were served.

 3      4

An equation shows the amount of juice that Jose served is x= 3/4 × 17/3.

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators.

Given that, Jose made [tex]5\frac{2}{3}[/tex] cups of juice. He served 3/4 of it at dinner.

Here, [tex]5\frac{2}{3}[/tex] cups can be written as 17/3

Let the amount of juice that Jose served be x

Now, x= 3/4 × 17/3

x= 17/4

x= [tex]4\frac{1}{4}[/tex] cups

Therefore, an equation shows the amount of juice that Jose served is x= 3/4 × 17/3.

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Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2} * 4[/tex] = 2

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    [tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]

What do we want to find first ⇒ a line parallel to the original line

          [tex]y = x +5[/tex]

What do we also want to find ⇒ a line perpendicular to the original line

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     [tex]y = -x + 3[/tex]

Answer:

Hope that helps!

Answer:

4 square feet

Step-by-step explanation:

hope this helps :)

Answer:

For the first picture, 57.14

For the second picture, 27.04

Answer: 1,950,000

Step-by-step explanation: Divide by 2 beginning with the first digit which is 3 up to the last zero