Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?

Answers

Answer 1

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

[tex]k = 5[/tex] -- scale factor

[tex]B'C' = 24[/tex]

Required

Side length of ABCD (the hot tub)

From the question, we understand that

[tex]ABCD \to D_5 \to A'B'C'D[/tex]  ABCD dilated by 5 to A'B'C'D

This implies that:

[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

[tex]BC * 5 = 24[/tex]

Divide by 5

[tex]BC = 4.8[/tex]


Related Questions

0.4 x 10 =....
1.25 x 10 =
97.465 x10 =​

Answers

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Answers

Answer:

the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50

is doesnt have any pictures pls help?

Answers

Answer:

diameter of a circle

Step-by-step explanation:

Answer:

A diameter of a circle

Step-by-step explanation:

given the construction we have to choose the construction which uses the compass for only one step in addition to drawing circle itself . show a diameter of a circle only e uses one stay in addition to draw circle itself

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

what is the answer? ​

Answers

Answer:

6 yards 4 feet 1 inch

Step-by-step explanation:

First, we have the equation:

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

Now, let's add each:

6 yards

3 feet

13 inches

But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:

6 yards

4 feet

1 inch

There you have it!

Happy learning!

--Applepi101

Answer:

7 yds  1 ft 1 inch

Step-by-step explanation:

 4 yards 2 feet 7 inches

+ 2 yards 1 foot 6 inches

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

 6 yards  3 feet  13 inches

13 inches is more than 12 inches (  =1  ft) so subtract 12 inches and add 1 ft

6 yards  3 feet  13 inches

             =1 ft      - 12 inches

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

6 yds   4 ft    1 inches

4 ft is more than  3f which is 1 yd  ( subtract 3 ft and add 1 yd)

6 yds   4 ft    1 inches

+1 yd  - 3ft

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

7 yds  1 ft 1 inch

Write each fraction as a decimal. Use bar notation if necessary.
1. 8/9 2. -2/5. 3. 7/11

Answers

Answer:

rgre5ydytye453efdfe45fgs4terwt

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbvbcn

Answer:1. 0.889, 2. −0.4, 3. 0.636 (i rounded the answers to the nearest thousandths)

Step-by-step explanation: the thing is when you are changing them from fraction to decimal you use long division for example

let us say the fraction is a half.

we put the numerator inside and the denominator outside.

so in this case 2 is outside and 1 is inside.

(forgive my drawing)

So after the zero we put a point if it is any number we still put a point after the first division answer.

We also put a zero next to 1 even though it is any other number a the answer on top we still put a zero if the number is over like in this case.

so 10 divide by 2 is 5 we put it on top.

Since we got an answer with no reminder our answer is 0.5.

Pls help area geometry! I’ve got 40 steps to do in a day :(

Answers

Answer:

26 cm^2

Step-by-step explanation:

(b*h)/2 is the area formula of a triangle (use it for your other questions!)

base here is the bottom-most side, the one that is 13 degrees. the side that is 4 cm is the height.

13*4 = 52 and 52/2 = 26

Area is 26

Area is 26 I think sorry if not

Hi, just need help with this graph problem.

Answers

Answer:

Domain: (-2, 2]

Range: (-5, 4]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:

(-2, 2] or -2 < x ≤ 2

According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:

(-5, 4] or -5 < y ≤ 4

Domain is 2,-2 TGATS all I know

Find the measure of the missing angle in the kite , given kite ADCB with m < BAD = 46 degree and m < ABC = 114 degree find m

Answers

Answer:

m∠BCA = 43°

Step-by-step explanation:

ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°

∠BAD and ∠BCA are the vertex angles of the kite.

Since, diagonal of kite bisect the vertex angles

m∠BAC = m∠DAC = [tex]\frac{1}{2}(46^{\circ})[/tex]

m∠BAC = 23°

By applying triangle sum theorem in ΔABC,

m∠ABC + m∠BCA + m∠BAC = 180°

114° + m∠BCA + 23° = 180°

m∠BCA = 180° - (114° + 23°)

             = 43°

Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27

Answers

Answer:

The answer is (A), Pipa kept 3 stickers to herself

Step-by-step explanation:

A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?

A) 1/9
B) 1/8
C) 1/27
D) 8/27

Answers

Answer:

1/27

Step-by-step explanation:

The outcomes when rolling a die are 1,2,3,4,5,6

getting less than 3 = 1,2

P( less than 3) = outcomes of less than 3 / total

                        = 2/6 = 1/3

Since the events are independent we can multiply the probabilities

P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27

How many degrees are in 25n/18?

Answers

Answer:

250°

There are 250°

Resuelve el siguiente problema:
•Una hamburguesa y papas contienen 1300 calorías si las
papas contienen
50 calorías más que la hamburguesa. ¿Cuál será las calorías totales de la
hamburguesa y de las papas?

Answers

Answer:

x= Hamburguesa

y=Papas

y=x+50

x+y=1300

x+(x+50)=1300

2x+50=1300

2x=1250

x=625

Calorias de Hamburguesa = 625

Calorias de Papas = 625+50 = 675

These figures are similar. The
area of one is given. Find the
area of the other.
3 in

Answers

Answer:

12 in^2

Step-by-step explanation:

The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12

12in^2 that’s it I’m shore

NEED HELP IN FIVE MINUTE PLZ HURRY

Answers

Answer:

 R=.2,P=.25, G=.55

Step-by-step explanation:

pls pls pls pls help me

Answers

.................................

The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (a) Find a function that models the population t years after 2000 (t=0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)

Answers

Answer:

P(t) = 14300e^0.07t

Step-by-step explanation:

Let :

Population as a function of years, t = P(t) ;

Growth rate, r = 7%

Estimated population on year 2000 = Initial population = 14300

The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.

P(t) = Initial population*e^rt

P(t) = 14300*e^(0.07t)

P(t) = 14300e^0.07t

Where, t = number of years after year 2000.

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

Answers

Answer:

240

Step-by-step explanation:

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

Answer:

240 Tabletops

HELP PLEASE (and explain if you can

what is 5cd when c = 3 and d = 4​

Answers

what is 5cd when c = 3 and d = 4

put the value c=3 and d=4 then,

5cd= 5 × 3 × 4

= 60

thus , 60 is the required answer..........

Answer:

[tex]here \: 5cd \\ c = 3 \\ d = 4 \\ then \: 5 \times 3 \times 4 = 5 \times 12 = 60 \\ thank \: you[/tex]

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

[tex]y = - \frac{4}{3} x + 2[/tex]

Step-by-step explanation:

Linear algebra

Answer:

y=-4/3x+2

Step-by-step explanation:

Expand and simplify (x-3)(x+5)​

Answers

Answer: x² + 2x - 15

Step-by-step explanation:

Concept:

When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.

FirstOuterInnerLast

Solve:

Given

(x - 3) (x + 5)

Expand parentheses

x² + 5x - 3x - 15

Combine like terms

x² + (5x - 3x) - 15

x² + 2x - 15

Hope this helps!! :)

Please let me know if you have any questions

can someone please help? worth 10pts

Answers

Answer:

equation of the line would be y=-3x+7

Step-by-step explanation:

because the line goes 3 up and 1 behind for the next point ad the line is not y intercept 7

find the missing side lengths​

Answers

Answer:

[tex]x = \frac{2 \sqrt{3} }{3} [/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

30, 60, 90 triangle

PLS HELP. write as an expression. thank you:)

Answers

Answer:

[tex]x^{\frac{3}{2} } p^{6}[/tex]

Step-by-step explanation:

Lydia runs an experiment to determine if a coin

Answers

Not sure what your asking please provide more information

If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.

True False

Answers

Answer:

false

Step-by-step explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.

what is 15 out of 24 as a percent?

Answers

It is 62.5 you will divide 15 out of 24 then multiply by 100

Decide whether the graphs of the given euqations are parallel perpendicular or neither

Answers

Answer: C) perpendicular

Explanation:

Each equation given to you is in y = mx+b form (aka slope intercept form).

The slope m is what we'll focus on.

The first equation has slope of 1, while the second equation has slope -1.

The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.

Or you could note that -1 is the negative reciprocal of 1, or vice versa.

So there are a few options to see why the lines are perpendicular.

On a piece of paper, graph y= see pic

Answers

Answer:

a

Step-by-step explanation:

assuming theyre asking you to graph y = (x-2)(x+3)  -cant see the signs in your photo

the x-intercepts would be 2 and -3 , so option a!


The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?

Answers

Answer:

Whattt pls draw the graph.. And it will show the us the rate

Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).

Answers

Answer: y = 4/3x + 2

Step-by-step explanation:

Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.

If you take the first coordinate (3,6): 6 = 3(4/3) + b

                                                                6 = 4 + b

                                                                    b = 2

If you take the second coordinate (6, 10) : 10 = 6(4/3) + b

                                                                         10 = 8 + b

                                                                              b = 2

Then, substitute m and b into the equation (y = mx + b) to get your answer.

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