A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find the value of x in the drawing below:

A Pool Company Is Creating An Image For A Dient That Has The Look Of A 3-D Image For A Family Pool And

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

Since both pools are similar, it follows that their side lengths are proportional.

Therefore:

[tex] \frac{BC}{FG} = \frac{AD}{EH} [/tex]

BC = 4

FG = 3

AD = x

EH = 6

Plug in the values

[tex] \frac{4}{3} = \frac{x}{6} [/tex]

Multiply both sides by 6

[tex] \frac{4}{3}*6 = \frac{x}{6}*6 [/tex]

[tex] \frac{24}{3} = x [/tex]

8 = x

x = 8


Related Questions

Help please due soon

Answers

1. h=6
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

PLEASE HELP ASAP! BRISNLIEST! Write the equation of each graph.

Answers

Answer:

-x^2-2x+3

1/2x^2-2x-1

Step-by-step explanation:

It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.

Answers

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)

Divide 2x^4+5x^3+11x^2+8x by x^2+x

Answers

Attached you will find a step by step solution.
Hope this helps 2x2+3x+8

a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.

Answers

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Use slopes to determine if the lines -7x + 3y = 2 and -3x + 7y = 1 are perpendicular

Answers

The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .

 

The slope of a line is the ratio of how much y increases when x increases by a certain amount. Slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the intersection of the line with the y-axis. Consider a straight line with slope 'm' and y-intercept 'c'. The slope-intercept shape formula for a straight line with slopes 'm' and 'c' as  y-intercept is given as y = mx + c.

We have given two equation of lines -7x + 3y = 2    ....(1)  and -3x + 7y = 1 ....(2)        3y = 7x +2

                 y = 7x/3 +2

On comparing with slope intercept form y = mx + c , we get slope of equation (1)         m₁ =  7/3

      7y = 3x +1

        y = 3x /7 +1

On comparing with slope intercept form y = mx + c , we get slope of equation (2)        m₂ = 3/7

If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by

                    m₁ × m₂ = -1

                    7/3 × 3/7 = -1

                      1 ≠ -1

Hence the given lines are not perpendicular to each other.

Learn more about slope intercept form here :

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1500 as a mixed number, please help QUICK

Answers

Answer:

divid 1500 to 50

Step-by-step explanation:

Answer: 1500 0/0

Step-by-step explanation:

A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.
HELLPP PLS !!!

Answers

The number of smaller pieces of land that can be sold at the stated size is 2^6

How many smaller pieces of land can be sold at the stated size?

The given parameters are:

Total area = 2^15 square miles

Smaller piece = 8^3 square miles

The number of smaller pieces of land that can be sold at the stated size is

Number = Total area/Smaller piece

So, we have:

Number = 2^15/8^3

Rewrite as

Number = 2^15/2^9

Apply the law of indices

Number = 2^6

Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6

Read more about quotients at

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Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?

Answers

Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.

Definition of scale

The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.

Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.

The scale is represented as a fraction as follows: measured on the map/measured in reality

Length of the Mississippi River on the map

In this case, you know that:

The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.

Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:

5 cm/ 120 miles= measured on the map/2320 miles

(5 cm/ 120 miles)× 2320 miles= measured on the map

96.667 cm= measured on the map

Finally, the length of the Mississippi River on the map is 96.667 cm.

Learn more about scale:

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What system of equations is shown on the graph below?

On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).

2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2

Answers

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7

Answers

Answer:

7

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

pleasee helppp insert two arithnetic means between -5 and 1

Answers

Answer:

a₂ = -3

a₃  = -1

Step-by-step explanation:

We have to  insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

a₄ = 1a₁ = -5

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d    

1  + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2          ∵ d = 2

a₂  = -3

a₃ = a₁ + (3-1)d

a₃  = -5 + 2d

a₃  = -5 + 2(2)   ∵ d = 2

a₃  = -5 + 4

a₃  = -1

Thus,

a₂ = -3

a₃  = -1

Thus, the sequence becomes:

-5, -3, -3, 1

What is the value of 9 by the power of 2+ 3 by the power of 3 - 30 divided by 6?

HELP MEH PLS!!! I will give Brainlyest to whoever answers first and correctly. Also tell me if I’m wrong dose this ^ symbol mean division?!?!

Answers

I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]

which statement is true about the points p and p

Answers

Answer:

They are equal

Step-by-step explanation:

What is the value of f(x)=5-1/2 when x =4

Answers

Answer:

9/2

Step-by-step explanation:

f(x)=5-1/2

plug in 4

f=9/2

9/2

Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. How many liters do you get per dollar?

Answers

Answer:

you get 0.4 litres for every dollar

Mark had an essay due on Friday. He worked on the essay for 1.5 hours on Thursday and 4.25 hours on Fridays. How many hours did he work on the essay Thursday and Friday combined?

Answers

Answer:

He worked for 5.75 hours

Step-by-step explanation:

Give two different names for the line shown in the
diagram below.

Answers

Answer: segments and rays

Step-by-step explanation:

find the zeros of the function: to the nearest hundredth

Answers

Answer:

The zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]

To find zeros, put f(x)=0

[tex]0=2x^2-17.5x+35.6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]

[tex]0=20x^2-175x+356[/tex]

switch sides

[tex]20x^2-175x+356=0[/tex]

subtract 356 from both sides

[tex]20x^2-175x+356-356=0-356[/tex]

[tex]20x^2-175x=-356[/tex]

divide both sides by 20

[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]

[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]

[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]

applying perfect square

[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]

[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=5.53[/tex]

also solving

[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]

[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=3.22[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Therefore, the zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

How far would the plane fly in t hours at this speed

Answers

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

Please help! Use the number line to compare the numb Drag and drop the numbers to place them in increasing order. -1.7, 1.9, -0.8, 0.9

Answers

Answer: -1.7, -0.8, 0.9, 1.9

Which equation represents a function that is nonlinear?




y=5x y=37 y=x2-25 y=2/3x+67

Answers

Answer:

I dont get itt

Step-by-step explanation:

Which digit is in the thousandth place? 134.927

Answers

Answer:

.007 is in the thousandths place.

Step-by-step explanation:

In decimals it goes tenths, houndredths, thousandths, and so on.

Figure out the probability below (ONLY REAL ANSWERS PLEASE)

Answers

Answer:

2/35

Step-by-step explanation:

fifteen total, 4 live in Gaston

so

4/15 times 3/14

because there is only 14 left to be selected and 3 left in Gaston

so 0.05714285714

or 2/35

Choose a system of equations with the same solution as the following system:
4x − y = −11
2x + 3y = 5

A. 12x − 3y = −33
10x − 6y = −38

B. −4x − 9y = −21
−2x − 7y = −27

C. 4x + 3y = 5
10x + 5y = −1

D. 2x − 4y = −16
4x − 4y = 44

please help 100points!!!!
And i will make brainlest
only if the answer is right and there is a good explanation....

Answers

Answer:

Hope it can help you and Mark me as a brainlist....
I thinks it is b cause

Please help I give 20 points please no fake answers =/

Answers

Answer to the question is b 1 4/5

Answer:

1 4/5

Step-by-step explanation:

I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is paid? $111.45 $1,114.50 $11,145 $111,450​

Answers

Answer:I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

Answer:

I = prt

p = 7430

r = 5%....turn to decimal = 0.05

t = 3

I = (7430)(0.05)(3)

I = 1114.50 <===

Step-by-step explanation:

Need help finding the measures

Answers

X is 10 ( equate both angles and solve)

M1. 43 degrees (plug x and solve)
M4. 60 degrees (definition of an equilateral triangle, every angle is 60 degrees)
M5. 60 degrees
M6. 60 degrees
M9. 43 degrees (plug x and solve)
M3. 180 degrees minus angle m4 = 120 degrees(looks like it too )
M2. 180-(43+120) = 17 degrees
M8. Pretty much m3 = 120
M7. Pretty much m2 = 17 degrees


I hope nothing wrong with my math but the logic should be sound !




Angle (2+5+7)= 180 - 2(43) = 94 degrees

Angle 2

Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years?

Answers

At this rate he would save 1,500 in 2 years

There are 12 months in a year

12 / 6 = 2 so it’s half

Add 375 4 times which would give me the answer

- If this helped I would appreciate it if you marked this brainlest

The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1

Answers

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

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