Lordyn installed a rectangular Koi fishpond on one of the sides of her rock garden. The pond has a length of 14.2 feet and a perimeter of 36.9 feet. The pond can hold 313.82 cubic feet of water.

Write and solve an equation that can be used to determine the depth of the Koi fishpond.

Answers

Answer 1

Answer:

262.72

Step-by-step explanation:

I hope this helps :) :P


Related Questions

I need help on this question

Answers

Answer:

im sorry but google?

Step-by-step explanation:

i guess

Answer:

4.5 pi

Step-by-step explanation:

First find the area of a circle with the same radius

The diameter is 6 so the radius is 1/2 d = 1/2(6) =3

A = pi r^2

A = pi (3)^2

A = 9 pi

This is a semi circle of half a circle so the area is 1/2

A  of the semicircle

9/2 pi

4.5 pi

Percentages equal to 100% and how?

Answers

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2

Answers

the answer is C. because you add all of her games together that she has, but then she wants to sell half of them.

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

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The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20

Answers

Answer:

First one:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

Answer:

4 x - 5 y = - 5 and 3 x + 10 y = - 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

hope this helps..

(10 − 6)3 ∙ 4(2) + (10 + 2)2, (8 − 6)5 ∙ 2(-4) + (6 − 8)0,

(5-2)-5 x 3(2) + (5+2)0

Answers

Answer:

120, -80, -90

Step-by-step explanation:

Use order of operations to solve each:

(10 − 6)3 ∙ 4(2) + (10 + 2)2

(4)3 x 4(2) + (12)2

12 x 8 + 24

96 + 24 = 120

(8 − 6)5 ∙ 2(-4) + (6 − 8)0

(2)5 x (-8) + (-2)0

10 x (-8) + 0 = -80

(5-2)-5 x 3(2) + (5+2)0

(3)-5 x 6 + (7)0

-15 x 6 + 0 = -90

A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?

Answers

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A and B map to C, A and B'after the dilation. What
is the length of CB? Use the distance formula to help you decide: d = (x2-x)+(y2 - y.)?
18+
164
A = (8.15)
B = (12, 13)
12
101
C = (8.10)

Answers

The answer is A 8.15

The length of line segment CB is 5 units.

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, A=(8, 15), B = (12, 13) and C = (8, 10)

Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get

CB = √[(12-8)²+(13-10)²]

= √(4²+3²)

= √(16+9)

= √25

CB= 5 units

Therefore, the length of CB is 5 units.

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The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.

Answers

Answer:

$3690

Step-by-step explanation:

Let's first find what percent of the original price it is being sold for.

100%-18%=82%

The water cooler is being sold for 82% of its original price.

Let's now find 82% of 4500.

0.82*4500=3690

The selling price is $3690

Answer:

3690

Step-by-step explanation:

the original price is 4500

for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be

18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price

find the missing angle in the triangle

Answers

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

the answer is 45°

90/2=45

What is the solution to the inequality |X-4|<3?
-7 1 x < -7 or x < -1
x> 1 or x<7

Answers

mutlak değerden + veya- çıkar.

|X-4|<3

-3 <x-4 <3

-3+4 <x <3+4

1 <x <7

The solution to the inequality |x-4| < 3 is x> 1 or x<7

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

|x-4| < 3.

Simplifying,

-3 < x - 4 < 3

Adding 4 to all sides,

1 < x < 7

Therefore, the solution is 1 < x < 7.

To learn more about the inequality;

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Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?

Answers

7500(1+0.032)5=

1.032 to the power of 5= 1.171

7500x 1.171=8,782

What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2 ​

Answers

Answer:

5

Step-by-step explanation:

The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.

The numerator of the next term in the arithmetic sequence is 5 because 5/2 would be next.

What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?

Answers

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

Hope this helpsBrainliest plzand have a wonderful day

Answer:

area of base =  14.5π in²

Step-by-step explanation:

the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:

V = πr²h

Here  the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:

V = πr²(12 in) = 174 π in³

Dividing both sides by 12 in isolates πr², which is the area of the base:

                               

                                   174π in³

area of base = πr² = --------------- = 14.5π in²

                                     12 in

What is the measure of angle x

Answers

Answer:

x =83

Step-by-step explanation:

supplementary angles add to 180 degrees

x+y = 180

We know y is 97

x+97= 180

Subtract 97 from each side

x+97-97= 180-97

x =83

Answer:

It is 83

Step-by-step explanation:

Supplementary is 180 degrees

180-97=83

The playing field for a particular sport is a rectangle whose length is 4 feet more than twice the width. The perimeter of the playing field is 200 feet. Find the dimensions of the playing field.

Answers

Answer:

The length and width of the field are 68ft and 32ft respectively

Step-by-step explanation:

Given:

Rectangular Playing Field

Perimeter. P = 200 ft

Required

The dimension of the field (Length and Width)

Let L and W represent the length and the width of the field.

From the question, L is 4 more than twice of W.

This means

L = 4 + 2W

Provided that the playing field is rectangular in shape;

We need to make use of the formula of perimeter of a rectangle.

P = 2(L + W)

Substitute 200 for P

200 = 2(L + W)

Divide through by 2

[tex]\frac{200}{2} = \frac{2(L + W)}{2}[/tex]

100 = L + W

Recall that L = 4 + 2W

Substitute 4 + 2W for L

100 = L + W becomes

100 = 4 + 2W + W

100 = 4 + 3W

Subtract 4 form both sides

100 - 4 = 4 + 3W - 4

96 = 3W

Divide both sided by 3

[tex]\frac{96}{3} = \frac{3W}{3}[/tex]

32 = W

W = 32

Recall that L = 4 + 2W

Substitute 32 for W

L = 4 + 2(32)

L = 4 + 64

L = 68

Hence the length and width of the field are 68ft anf 32ft respectively

Find the volume of this figure

Answers

Answer:

74

Step-by-step explanation:

you find the volume of each one by doing length * width * height and once you find the volume of all of them which is 36, 2, 36 you add them all together and you get 74

Answer:

74 ft

Step-by-step explanation:

Volume = length x width x height

For the 1st square - 3 x 3 x 4

For the rectangle in the middle - 1 x 1 x 2

For the last big square - 3 x 3 x 4

___________________________________

3 x 3 x 4 = 36

3 x 3 x 4 = 36

1 x 1 x 2 = 2

___________________________________

36 + 36 + 2 = 74

___________________________________

The volume of this figure is 74 ft

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You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.


A. Which figure has the lesser volume? SHOW ALL WORK




B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

Is this SAS or Not SAS

Answers

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

Answer:

SAS

Step-by-step explanation:

The sides are all equivalent so it is indeed a SAS triangle.

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.


How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.

Answers

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.  

The speed of boat upstream will be [tex]x-3[/tex].

The speed of boat downstream would be [tex]x+3[/tex].

[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

[tex]\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}[/tex]

Since the speed of the boat is 18 miles per hour, so we will substitute [tex]x=18[/tex] in above equation and solve for time.

[tex]\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}[/tex]

[tex]\text{Time}=\frac{2}{21}+\frac{3}{15}[/tex]

[tex]\text{Time}=\frac{2}{21}+\frac{1}{5}[/tex]

[tex]\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}[/tex]

[tex]\text{Time}=\frac{10}{105}+\frac{21}{105}[/tex]

[tex]\text{Time}=\frac{31}{105}[/tex]

[tex]\text{Time}=0.295238095[/tex]

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

[tex]\text{Time}=0.295238095\times 60\text{ minutes}[/tex]

[tex]\text{Time}=17.7142857\text{ minutes}[/tex]

Rounding to nearest tenth of minute.

[tex]\text{Time}\approx 17.7\text{ minutes}[/tex]

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?

Answers

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

Which value in this data set is an outlier?
4,5, 1, 7,4,5,8,9,6,5,4,9,7
O A 1
OB. 2
3
OD
9

Answers

Answer:

1 is the out lier

Step-by-step explanation:

if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9

They are in order exept for the one.

The 1 would be outlier

What is the constant in -4×_9

Answers

Answer:

Do u have like a worksheet for the problem because that kinda confusing , but I would love to help if you could screens shot or post the pic.

Step-by-step explanation:

PLS HELP ME FULL WORK SHOWN DUE

Answers

To solve this system of equations, we have to cancel out a variable:

12x-4y+28=0

16y-110=48x

Reorder:

12x-4y=-28

-48x+16y=110

Multiply first equation by 4:

4(12x-4y=-28)

-48x+16y=110

=>

48x-16y=-112

-48x+16y=110

0x+0y=-2

0=-2

This can never be true, therefore there are NO SOLUTIONS

Answer:

No Solutions

12x-4y+28=0
16y-110=48x

3x-y=-7
16y-110=48x

3x-y=-7
24x-8y=-55

The set of data has a median of 51. Find the value of x.
30, 35, x, 100

Answers

Answer:67

Step-by-step explanation:

how many solutions does : 3y = -6x + 9
y = -6x + 9

Answers

Answer:

Exactly 1 solution

Step-by-step explanation:

First we must disrupte3y+27=12y+13

Next we switch one number to the other side27=9y+13

Now we must switch the other number14=9y

Now we must solve by dividing 14 by 9y=1.555

This is one solution, so we now have our answer.

The equation has only one solution. Then the correct option is A.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equations are given below.

3y = -6x + 9

y = -2x + 3       ...1

y = -6x + 9      ...2

From equations 1 and 2, then we have

-2x + 3 = -6x + 9

4x = 6

x = 6/4

x = 1.5

Then the value of the variable 'y' is calculated as,

y = -2x + 3

y = -2(1.5) + 3

y = - 3 + 3

y = 0

The solution of the equation y = -2x + 3 and y = -6x + 9 will be (1.5, 0). Then the equation has only one solution. Then the correct option is A.

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The measure of an exterior angle of a triangle is equal to which of the following measures?

A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles

Answers

Answer:

C. The sum of the measures of the interior angles

Step-by-step explanation:

An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.

• The exterior angles (taken one at a vertex) always total 360º

asap-worth 25% of overall

Answers

Answer:

ummm

Step-by-step explanation:

what is the question

What is the measure of

Answers

Answer: Q = 124 and P = 29

Step-by-step explanation:

Triangles always = 180 degrees so do straight lines.

Answer:

P=29

Step-by-step explanation:

I took the diagnostic

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A bill at a restaurant is $48.50. There is a 5% tax
added and then a 20% tip added. What is the total
cost?

Answers

Answer:

$61.11

Step-by-step explanation:

When the price of something has a certain percent added to it, you can first convert that percentage to a decimal and then add 1, since 1 is the original price. Therefore, we can set up the following equation:

48.50*1.05*1.20=$61.11

Hope this helps!

f(x) = 5x^2 - x + 8
g(x) = 9x - 1

Answers

Answer:

Step-by-step explanation:

But there is not a question?

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