A small swimming pool contains 6 kiloliters of water. How many liters of water does the pool contain?

Answer:

1 : 2.5

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

2(x-y)=3y

divide both sides of the equation by 2

x - y = 3y/2

x - y = 1.5y

combine like terms together

x = 1.5y + y

x = 2.5y

ratio of x : y

1 : 2.5

Answer:

Standard error of the mean: 1.91

Step-by-step explanation:

The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]

Answer:

I believe it would be because you couldn't do a negative number for the height.

Step-by-step explanation:

I hope this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  [tex]tan^{-1}[/tex](14/8) ≈ 60.3°

∠D =  [tex]tan^{-1}[/tex](8/14) ≈ 29.7°

Answers:

The "units" and "degrees" portions of the answers are likely to be left out.

===============================================

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

----------------------------------

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.

-------------------------------------

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

Answer:

x = 7

Step-by-step explanation:

9x + 4 + 113 = 180

9x + 117 = 180

9x + 117 - 117 = 180 - 117

9x = 63

9x ÷ 9 = 63 ÷ 9

x = 7

Answer:

9x + 4 + 180 + 113=360

9x + 297=360

9x=360-297

9x=63

9x÷9=63÷9

x=7

Answer:

see below

Step-by-step explanation:

24 = c + -10

Add 10 to each side

24+10 = c-10+10

34 = c

Check

24 = 34 + -10

24 = 24

This is a true statement so it is a solution

Answer:

x≤11

Step-by-step explanation:

x+5<17, I can subtract 5 on both sides so

x+5<17

 -5  -5

x<12

that's wrong though because my x needs to make my answer less than x to make the statement true since we're looking for a value that is less than 17 not less than or equal to 17. So in conclusion, if x≤11 ( if x is less than or equal to 11), my statement will be true because 11+5<17=16<17, which is true. Even 10 or less is fine because it will still be smaller than 17 and that will keep my statement balanced.

Step-by-step explanation:

Correct option is

A

x= 4 and y = 5

Let the parallelogram be ABCD Perimeter= 40cm

AB =3x cm BC=2x cm(given)

Perimeter of parallelogram 2(3x+2x)=40

solving equation we get x=4

Also,AB=CD(opposite sides of parallelogram) 3x=2(y+1) (given)

Putting x=4

3(4)=2y+2

12=2y+2

10=2y

Hence y=5 and x=4

Answer:

x+133 =131

x. =131-133

x. =(-2)

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8

[tex]3) \: y = \frac{ - 8}{2} ; \: y = - 4[/tex] ✅

Step-by-step explanation:

[tex]2 \: y = - 8 \\ ⇢  y = \frac{ - 8}{2} \\ ⇢ y = - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

d

Step-by-step explanation:

s=(axh)/2

Answer:

Step-by-step explanation:

1/2 base times height.

Answer:

O número é 3

Step-by-step explanation:

Este número é 3

Número de base = 3

Potência = 3

Então, 3 ^ 3 = 27

Os valores de base e potência são iguais e o número resultante tem dois dígitos.

Answer:

6%

Step-by-step explanation:

8,500(x) = 510

x = 510/8,500

x = 0.06

x = 6%

Answer:

(-5) +(+6) +(-2) = (-1)

(-22) -(+8) +(10) =(-4)

Step-by-step explanation:

(-5)+ (+6) is 1 + (-2) is (-1)

(-22)-(+8) is (-14)+(10) is (-14)

Answer:

D

Step-by-step explanation:

The statement that is also true is: [tex]\triangle QRS \cong \triangle YZX[/tex]

The congruence statement is given as:

[tex]\triangle QSR \cong \triangle YXZ[/tex]

The above statement means that, we have the following corresponding points

The above highlights mean that:

Triangle QSR corresponds to triangle YXZ

It also means that:

Triangle QRS corresponds to triangle YZX

Hence, the correct congruency statement is: [tex]\triangle QRS \cong \triangle YZX[/tex]

Read more about congruent triangles at:

https://brainly.com/question/1675117

Answer:

Step-by-step explanation:

Answer:

dyttcj

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Ariana spent a quarter of her allowance

1 - 1/4 = 3/4 was left

put one third of the remainder in her piggy bank

1/3 * 3/4 = 1/4

She spent 1/4 and piggy banked 1/4

so the $20 she had left was half her allowance.

allowance was $40

Ariana gets a very large allowance!

Answer:

m+5=7

Step-by-step explanation:

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

[tex]\huge\bold{Given:}[/tex]

Length of the perpendicular = 6 ft.

Length of the base = 8 ft.

[tex]\huge\bold{To\:find:}[/tex]

The length of the missing side.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\purple{x\:=\:10\:feet}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Let [tex]"x"[/tex] be the side of the hypotenuse.

Using Pythagoras theorem, we have

( Hypotenuse )² = ( Perpendicular )² + ( Base )²

[tex]\longrightarrow{\blue{}}[/tex] [tex] {x}^{2} [/tex] = ( 6 ft )² + ( 8 ft) ²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 36 ft² + 64 ft²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 100 ft²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{100 \: {ft}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{10 \times 10 \: {ft}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{ ({10 \: ft})^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = 10 ft.

Therefore, the length of the missing side [tex]x[/tex] is 10 feet.

[tex]\huge\bold{To\:verify :}[/tex]

[tex]\longrightarrow{\green{}}[/tex] ( 10 ft )² = ( 6 ft )² + ( 8 ft ) ²

[tex]\longrightarrow{\green{}}[/tex] 100 ft² = 36 ft² + 64 ft²

[tex]\longrightarrow{\green{}}[/tex] 100 ft² = 100 ft²

[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

Answer:

what ever sides are multiply the points by 2 each (x time 2, y times 2) Best I got. Hope this helps some

Step-by-step explanation:

figure out the sides then:

Ex. Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Since this is the area x 2, multiply 84x2

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

13units

Step-by-step explanation:

Using the distance formula;

D = √(x2-x1)²+(y2-y1)²

Distance from home to the soccer field is expressed as;

Home (0,0) and soccer field (-4,3)

D =√(3-0)²+(-4-0)²

D =√3²+4²

D =√9+16

D = √25

D = 5

Distance from  soccer field to library is expressed as;

Library (4,3) and soccer field (-4,3)

D =√(-4-4)²+(3-3)²

D =√(-8)²+0²

D =√64

D = 8

Hence the total distance = 5 + 8 = 13units

Answer:

90

First, divide: 75/25=3

Last 3x 30= 90

or

  30

x 3

--------

90

9514 1404 393

Answer:

  shaded/square = (50π cm²)/(400 cm²) = π/8

Step-by-step explanation:

The quarter circle has area ...

  A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²

The half-circle has area ...

  A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²

Then the area of the shaded portion is ...

  shaded = 100π cm² -50π cm² = 50π cm²

__

The area of the square is ...

  A = s² = (20 cm)² = 400 cm²

Then the ratio of interest is ...

  shaded/square = (50π cm²)/(400 cm²) = π/8