On a scale drawing of a museum, two water fountains are 10 inches apart. The actual distance between them is 400 feet. On the same drawing, the distance between two exhibits is 3. 125 inches. What is the actual distance between these two exhibits? 13 feet 125 feet 313 feet 425 feet.

Answers

Answer 1

Scale factor is the ratio of representation measurement of the figure to the original figures.

The actual distance between these two exhibits is 125 feet. Thus the option 2 is the correct option.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

The distance between the two water fountains is 10 inches on the scale drawing of the museum.

The actual distance between the two water fountains is 400 inches.

The distance between two exhibits is 3.125 inches on the same scale drawing of the museum.

The scale factor of the distance of water museum in the drawing to the actual distance is,

[tex]r=\dfrac{10}{400} \\r=\dfrac{1}{40}[/tex]

Thus the scale factor  of the distance of water museum in the drawing to the actual distance is 1/40.

As the the distance between two exhibits is measured on the same scale of drawing. Thus the scale factor in this case also be same.

Let the  actual distance between these two exhibits is x feet. Thus,

[tex]\dfrac{1}{40} =\dfrac{3.125}{x}\\x=125\rm ft[/tex]

Hence, the actual distance between these two exhibits is 125 feet. Thus the option 2 is the correct option.

Learn more about the scale factor here;

https://brainly.com/question/10253650


Related Questions

which times are before 12 in the afternoon on the same day

Answers

Answer:

1 a.m to 11 a.m

Step-by-step explanation:

It's obvious.

how do i do this i will give you 100 points

Answers

Initial Perimeter = 2(890+2891)

=> 2781×2

=> 5662 cm

Increase in length = 890+66 => 956 cm

Final Perimeter = 2 (956+2891)

=> 3847×2

=> 7694 cm

Hellllppp
(2nd question What is the shortest amount of time it would take to complete all the tasks? If you know people have to leave your house by 9pm, what time should they come over to get started? Explain using rational expressions.)

Answers

Answer:

AT 10 am

Step-by-step explanation:

15 is 60% of what number? please answer really soon!​

Answers

Answer:25 hope this helps

Step-by-step explanation:

24 is the correct answer. Hope this helps.

classify two dimensional figures question 4

Answers

Answer:

A. All sides with the equal length.

A rhombus and a rectangle both have opposite sides with equal lengths.

What is a rhombus?

A rhombus is a quadrilateral that has 4 equal sides. However, not a single angle is a right-angle.

What is a rectangle?

A rectangle is a parallelogram with one of is angle is a right-angle.

Here, option: B is correct. A rhombus and a rectangle both have opposite sides with equal lengths.

Learn more about rectangle and rhombus here: https://brainly.com/question/3183197

#Tag #SPJ2

What is the surface area?
5 yd
6 yd
5 yd
5 yd
4 yd

square yards

Answers

25 square yards is the surface area

Sides
of
by
Determine
the
simplest
form for each of the following ratios.
2:6
12:48
15:30
9:15
8:24
12:18

Answers

Answer:

2:6=2/6=1/3=1:3

12:48=12/48=1/4=1:4

15:30=15/30=1/2=1:2

8:24=8/24=1/3=1:3

12:18=12/18=2/3=2:3

Hope it will help you a lot.

Step-by-step explanation:

Find the nth and 50th term of the sequence 7,9,11,13,15,..
Please also explain I don't want y'all to just straight up put the answer​

Answers

Answer:

7,9,11,13,15 are going in order of odd numbers soo

7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105

9th term is 23

and the 50th term is 105

hope it helps you

make me brainliest plz

Step-by-step explanation:

theeeee 50th term is 105

:)

On Thursday, Mandy receives m messages. she doesn’t have time to read them,
so she splits the reading equally between her friends Candy, Sandy, Randy, and
Andy. Each of the four friends reads 43 messages. How many messages did
Mandy receive? Hint: Use a DIVISION equation!

Answers

Hi!

Let's start with the facts:

She had m messagesThey divided m messages into 4 equal groupsEach of those groups had 43 messagesWe must solve using a division equation

Therefore:

[tex]\frac{m}{4}=43[/tex]

Now, we have an algebraic equation. In order to solve, we must multiply both sides by 4 so that way m is by itself.

[tex]\frac{m}{4}*4=43*4[/tex]

[tex]m=172[/tex]

Therefore, Mandy received 172 messages. (that's a lot of messages!)

For another example of solving an equation algebraically, see:

https://brainly.com/question/17595716

https://brainly.com/question/2534559

how to calculate sample size with standard deviation

Answers

Answer:

Step 1: Calculate the mean of the data—this is \muμmu in the formula.

Step 2: Subtract the mean from each data point. These differences are called deviations. Data points below the mean will have negative deviations, and data points above the mean will have positive deviations.

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step 5: Divide the sum by the number of data points in the population. The result is called the variance.

Step 6: Take the square root of the variance to get the standard deviation

A polynomial added to a polynomial is a polynomial.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

the result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

Factor the following: 64x2−144xy+81y2

Answers

Answer:

(8x - 9y)2

Step-by-step explanation:

64x2−144xy+81y2

Equation at the end of step 1:  

((64 • (x2)) -  144xy) +  34y2

The Equation at the end of step 2:

(26x2 -  144xy) +  34y2

Step 3:

(8x - 9y)2

Answer:

(8x - 9y)2

What is the leading coefficient in the quadratic below?
h(x)=-2x2+5x+10

Answers

Answer:

-2

Step-by-step explanation:

The leading coefficient in a polynomial is the coefficient that corresponds with the highest degree term. In this case, -2 is the leading coefficient since its term has x² as the highest degree of the quadratic.

What is the value of x?

Answers

Answer: x=30

Step-by-step explanation:

so basically, angle TUQ is supplementary to angle SVW. So to solve you do x+12+3x+48=180. So x=30

Answer:

x = 30

Step-by-step explanation:

∠QUT and ∠SVW are in a way, essentially supplementary angles. In other words, if you added both of the angles together, it would equal 180° which is a line. So,

x + 12 + 3x + 48 = 180

Solve for x by combining like terms :)

x + 12 + 3x + 48 = 180

4x + 60 = 180

4x = 120

x = 30

sarah teacher asked her to writte fifteen thousand and four in numerals she wrote 150,004 is she correct

Answers

Answer:

no

Step-by-step explanation:

it would be 15,004 not 150,004

Answer:   No, this is Incorrect.

Have a great day! <3


PLSSS HELPPP
Scott and his family went on a backpacking trip. They started hiking at 3:00 P.M. It took 1 hour and 55 minutes to reach their campsite. After they arrived, it took 1 hour and 10 minutes to set up the campsite. What time was it when Scott and his family finished setting up their campsite?

Answers

Answer:

6:05PM

Step-by-step explanation:

did the math , three hours and 5 minutes

Answer:

3:00 pm + 1 hr 55 min = 4:55 pm

4:55 pm + 1hr 10 min= 6:05 pm

Scott and his family finished setting up their campsite at 6:05 pm.

There are 6 monkeys and 12 come along. How many monkeys are there now?

Answers

Answer:

18

Step-by-step explanation:

tis too simple use logic u can answer that

Sandra thought of a number. She doubled it and then added four. The answer is sixty-eight. Which number did she think of?

Answers

Answer:

I believe it is 32.

Step-by-step explanation:

32 doubled would be 64 and if you added 4 it would become 68.

Answer:

Solution,

Let the number be x

Now we have,

(x × 2)+4=68

2x=64

x=32

Step-by-step explanation:

HELLLLLLLLLLLPPPPPPPPPPPP

Answers

Answer:

Ratio of e : f is 13 : 10

Step-by-step explanation:

area of square E = e x e = e² cm²

area of square F = f x f = f² cm²

The area of square E is 69% greater than the area of square F

If the area of square F = 100%

then the area of square E = 100% + 69% = 169%

So the ratio of  e² : f²  =  169 : 100

square root both sides:   e : f = √169 : √100

so e : f = 13 : 10

can anyone help me im kinda lost

Answers

Answer:

15&25

Step-by-step explanation:

umm 5,10,15,20,25

25*2=50???

not for sure on it but maybe?

Answer:

Because it goes by 5 each time, I presume the numbers 15 and 25 are the answers. Then 25 is multiplied by two, yielding 50.

Step-by-step explanation:

So, there are the answers, I believe. There was not a lot of information on the problem here.

Jay earns $58,100 annually. What is his FICA tax? (At 6.2% for social security and 1.45% for medicare)

Answers

Answer: Medicare taxes. As an employer, you pay a 6.2% Social. Security tax on up to $147,000 (in 2022) of your employee's earnings and a 1.45%.

Step-by-step explanation:

I don’t know what x divided by 1.1 plus 3.6 equals 4.3

Answers

Answer:

0.0636363636

Step-by-step explanation:

x÷1.1+3.6=4.3

11×=4.3-3.6=0.7

11x=0.7

×=0.7÷11=0.06363636

Please help with the math answer
2(4-6g)

Answers

Hey there!

2(4 - 6g)


DISTRIBUTE 2 WITHIN the PARENTHESES

= 2(4) + 2(-6g)


= 8 - 12g


= -12g + 8


Therefore, your answer is: -12g + 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Y = 10x so what’s the ratio of x:y

Answers

Answer:

10 to 1

Step-by-step explanation:

create a table of x-y values:

when x = 1, y = 10

when x = 2, y = 20

etc.

Answer:

1:10

Step-by-step explanation:

please help me with this I need it fast :​

Answers

Answer:

its E

Step-by-step explanation:

find the value of x (5x + 15)

Answers

Answer:

x = 8

Step-by-step Solution:

We know that:

55 = 5x + 15 (Vertically opposite angles)

Solution:

55 = 5x + 15 => 55 - 15 = 5x=> 40 = 5x=> x = 8

Hence, the value of x is 8.

If seven-eights of a pound of meatloaf was shared equally among the 3 people, what fraction of a pound did each person receive

Answers

Answer:

7/24

Step-by-step explanation:

7/8 of a pound of meatloaf is divided by 3 people so each person will receive (7/8)/3 = 7/24 of a pound of meatloaf

Answer:

7/24

Step-by-step explanation:

Write the fifteenth of September 2014 in digits

Answers

Answer:

9/15/14

Sept is the 9th month

15th day

2014 is the year

Answer:

9/15/2014.

Step-by-step explanation:

Most used way:

9/15/2014

Simple way:

9/15/14

Old way:

September 15, 2014.

Decimal Question: 15 centimeter and nine millimeter = how much centimeters

Answers

Answer:

15.9cm

Step-by-step explanation:

It should be noted that 15 centimeter and nine millimeter will be 15.9 centimeters.

Answer:

15.9 cm

Step-by-step explanation:

9 mm = 0.9 cm

15 + .9 = 15.9 cm

Find the measure of the missing angles

Answers


f= 77°
d=75°
e=28°
they are vertical angles
All the angles are vertical
F= 77
D= 75
E=28
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