Jack buys a pool with 400 gallons of water, and it take 8 hours to fill. How many gallons were poured per hour?

Answer:

100 pi cm^2

or approximately 314 cm^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 5

SA = 4 *pi * 5^2

SA = 4*pi(25

SA = 100 pi cm^2

If pi is 3.14

SA = 100 *3.14 = 314 cm^2

[tex]\large\fbox{\underline{Surfαcє αrєα σf sphєrє ís 314 cm ².}}[/tex]

☞ Rαdíus σf sphєrє = 5 cm

☞ Surfαcє αrєα σf sphєrє

☞ Surfαcє αrєα σf sphєrє = 4 π r ²

usíng thє fσrmulα

surfαcє αrєα σf sphєrє = 4 π r ²

suвstítutє thє vαluєs

surfαcє αrєα σf sphєrє = 4 × 3.14 × ( 5×5 ) cm ²

mutíplчíng thє vαluєs

surfαcє αrєα σf sphєrє = 100 cm² × 3.14

Hєncє , Surfαcє αrєα σf sphєrє ís 314cm ².

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

Answer:

(12, 0)

Step-by-step explanation:

The centre of the circle is at (4, 0) and the radius = √64 = 8.

So one point on the circle is at ((4 + 8), 0) = (12,0).

The answer is: 15 ft

a) 5 m

b) 8 yd

Step-by-step explanation:

a) Take the ratios of the legs of the triangles. Since they are similar triangles, those ratios are equal.

d/(4 m) = (10m)/(8 m)

Solving for d,

d =(10/8)(4 m) = 5 m

b) m/(10 yd) = (12 yd)/(10 yd + 5 yd) = 12/15 = 4/5

Solving for m,

m = (4/5)(10 yd)

= 8 yd

Answer:

d = 5m

m = 6yd

Step-by-step explanation:

Question 1.)

We know that segment GF is half of CD, therefore EF would be half of CE.

=> CE / 2 = EF or d

=> 10 / 2 = EF or d

=> 5 = EF or d

Question 2.)

We know that segment DE is half of EF, so segment EG would be half of DH;

=> DH / 2 = EG or m

=> 12 / 2 = EG or m

=> 6 = EG or m

Hope this helps!

Answer:

4(x - 4) = 4x - 16

Step-by-step explanation:

4(x - A) = 4x - 16

4x - 4A = 4x - 16

Equating Constant terms (terms without x): -4A = -16

                                                                     A = 4

Therefore , 4(x - 4) = 4x - 16

The answer is 4.

In order to find the answer, divide 4 from the each number on the right side. You pull the 4 out from 4x, and 4 from 16 to arrive at 4(x - 4).

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

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Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  [tex]-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}[/tex]

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

since the Parabola squashes inwards we assume a=4

we know that,

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]

Answer:

number 2 is your answer for your problem

Answer:

103/25

Step-by-step explanation:

412% = 4.12 = 103/25

Answer:

4.12

Step-by-step explanation:

remove the '%' sign and then move the decimal two places to the left

other examples:

5% = .05

4.5% = .045

123% = 1.23

.9% = .009

Answer:

Step-by-step explanation:

*There is an acute isosceles (don't know if I am spelling any of these correct)

*Right Scalene

*right isosceles

*equilateral

Those are some of the ones that I found

Answer:11.50

Step-by-step explanation:

Answer:

104 softballs

Step-by-step explanation:

26 x 4 = 104

Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation:

Answer:

[tex]Area =55.4ft^2[/tex]

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

[tex]\tan(60) = \frac{4\sqrt 3}{x}[/tex]

Solve for x

[tex]x = \frac{4\sqrt 3}{\tan(60)}[/tex]

[tex]\tan(60) = \sqrt 3[/tex]

So:

[tex]x = \frac{4\sqrt 3}{\sqrt 3}[/tex]

[tex]x = 4[/tex]

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

[tex]Base = 4\sqrt 3[/tex]

[tex]Height = 4[/tex]

So, the area of the rhombus is 4 times the area of 1 triangle

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

[tex]Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4[/tex]

[tex]Area =2 * 4\sqrt 3 * 4[/tex]

[tex]Area =55.4ft^2[/tex]

Answer: d

Step-by-step explanation:

Answer:

i think because it's powered by 4

Answer:

1 no

angle 1 =53 degree (being vertically opposite angle)

angle 2=127 degree(being linear piar)

angle 3 =127 degree(being vertically opposite angles)

2 no

angle 1=155.1(being linear pair)

angle 2=24.9(being vertically opposite angles)

angle 3=155.1(beinf linear pair)

3 no

angle 1=68 degree(being linear pair)

angle 2=112 degree(being vertically opposite angle)

angle 3=68 degree(being vertically opposite angle)

4 no

angle 1=54.5 degree(being linear pair)

angle 2=125.5 degree(being vertically opposite angle)

angle 3=54.5 degree(being vertically oppostie angle)

Step-by-step explanation:

Answer:

the answer is 2,046...

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is   2046

The sum of an infinite number of terms that are in constant ratios.

From the given data

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is                                     (here k is replaced with

                                                                                                                 n)                                              

6(4)ⁿ⁻¹ for n=1 is

=6(4)¹⁻¹

=6(4)⁰

= 1

6(4)ⁿ⁻¹ for n=2 is

=6(4)²⁻¹

=6(4)¹

=24

6(4)ⁿ⁻¹ for n=3 is

=6(4)³⁻¹

=6(4)²

=6(16)

=96

6(4)ⁿ⁻¹ for n=4 is

=6(4)⁴⁻¹

=6(4)³

=6(64)

384

6(4)ⁿ⁻¹ for n=5 is

=6(4)⁵⁻¹

=6(4)⁴

=6(256)

=1536

∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is    

6 + 24 + 96 + 384 + 1536

=2046

Learn more about Geometric series here :

https://brainly.com/question/4617980

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Answer:

1) ∠M

2) MT, GT

3) ∠G

4) not enough information...because we are given two congruent sides but an angle that is not included.

5) SAS because two sides are congruent (including the one they share) and an included angle.

6) SSS because three sides are congruent (including the one they share).

Your answer should be 27 square units

Answer: 54

Step-by-step explanation:

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

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

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

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

The value of x.

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

[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅

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

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = [tex] \frac{112° }{2} [/tex]

➪ x° = 56°

[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

x= -48

Step-by-step explanation:

-x is being divided by 3, so you want to muiltiple both sides of the equation by 3, move the constant to the right, find your answer and then change the signs! Don't forget about the negative sign.