A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on the map?

Answers

Answer 1

Given:

The scale of a map is [tex]\dfrac{3}{4}\ in=80\ miles[/tex].

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

[tex]\dfrac{3}{4}\ in=80\ miles[/tex]

It means, 80 miles in real life = [tex]\dfrac{3}{4}\ in[/tex] on the map.

1 mile in real life = [tex]\dfrac{3}{4\times 80}\ in[/tex] on the map.

60 mile in real life = [tex]\dfrac{3\times 60}{4\times 80}\ in[/tex] on the map.

                              = [tex]\dfrac{180}{320}\ in[/tex] on the map.

                              = [tex]\dfrac{9}{16}\ in[/tex] on the map.

Therefore, the buildings are [tex]\dfrac{9}{16}\ in[/tex] apart on the map.


Related Questions

What is 1?1?1?1=6 pls help my brain id hurt rn​

Answers

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

⦁ Convert the vertex form of the equation you wrote above to standard form.

the vertex was ax+b(?)

Answers

Answer:

ax^2 + bx + c

Step-by-step explanation:

im pretty sure this answers your question

The standard form of the vertex form equation is y = 2x² - 12x + 17

How to convert the equation?

The vertex form of a quadratic equation is represented as:

y = a(x - h)² + k

Using the above form, the quadratic equation can be represented as:

y = 2(x - 3)² + 1

Expand

y = 2(x² - 6x + 9) - 1

Further expand

y = 2x² - 12x + 18 - 1

Evaluate the like terms

y = 2x² - 12x + 17

Hence, the standard form of the vertex form equation is y = 2x² - 12x + 17

Read more about vertex equation at:

https://brainly.com/question/18797214

#SPJ2

Find the area of the figure.
13 m
6 m
8 m
4 m
4 m
area:
m2

Answers

Answer:

8m

Step-by-step explanation:

find the compound interest on $500 for 8 years. if the interest rate is 3%

A.123.39
B.133.39
C.143.39
D.153.39​

Answers

Pretty sure it’s b...

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5

Which of the following is the graph of f(x) = 3x - 4[ + 1?

Answers

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

(Will Give Brainliest)

Answers

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round


Y= -16x^2+181x+59 is the question

Answers

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

please answerrrrrrrrr :)

Answers

Answer:

I think 25 IM AM SO SORRY IF ITS WRONG!!!!!!!!

Step-by-step explanation:

Answer:

20 inches

Step-by-step explanation:

Turn the middle triangle upside down and fit to the right of the trapezoid. Turn the left triangle upside down and fit it to the left of the trapezoid.

The triangles fit right in making the top side of the combined shape 20 inches long just like the bottom base of the trapezoid.

Answer: 20 inches



Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?

Answers

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST

Jacky , a student in a geometry class said that the Quadrilateral is a Square. Is she correct? Justify your answer.

Answers

She of a quadrilateral is a shape with four sides and a square has four sides
An Quadrilateral has 4 vertices and 4 sides which resemblances the 4 sides and 4 vertices that a square has.

anyone know ??? i need help badly right now

Answers

Answer:

Answer is A 520mm²

I hope you like it

Answer:

9. C, II and III.

10. The correct answer is 944 cubic mm, as far as I can tell. I double checked my formulas and calculations. You can copy the formulas/calculations below and email your teacher. I have tried to figure out how they got the numbers they have. The best guess I can come up with is that they used 6 as the diameter of the cylinder, using 3 for the radius. That gets us closer, at 749 cubic mm, but not quite there.

Step-by-step explanation:

9.  If the cylinder is standing upright, the horizontal cut would be a circle or oval, and the vertical cut could be a rectangle

10. First we'll get the volume of the base rectangle. Then we'll calculate the volume of a cylinder, then divide that part in half, because it's 1/2 a cylinder on top of a rectangular prism.

Volume of a rectangular prism:

V = (length)(width)(height)

= 11 x 9 x 6 = 594 cubic mm

Volume of a cylinder:

V = (pi)(radius)^2(height)

The radius = 1/2 the diameter of the circle...the diameter is 9, so the radius is 4.5

= (3.14)(4.5)(4.5)(11)

= 699.435

That would be for a full cylinder with radius 4.5 and height of 11. We have half of one, so 699.435/2 = 349.7175 cubic mm

Add the volume of the 1/2 cylinder to the volume of the rectangular prism:

349.7175 + 594 = 943.7175, rounded = 944...which is none of your answers :/

Sorry I couldn't give you an "A, B, C, D" answer, but I don't think any of those are correct.

50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

can you please help? no links please. I have to pass this

Answers

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

help please? anyone?

Answers

Answer:

"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "

Step-by-step explanation:

Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.

= 8.8 squared + 9 squared = c squared

= 77.44 + 81 = c squared

[tex]\sqrt{158.44}[/tex] = c squared

c squared = (rounded) 12.6 ft

I need help with this question​

Answers

Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly

Answers

Answer: 1/4

Step-by-step explanation:

Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:

= ⅜ + ½ + ¼

= 3/8 + 4/8 + 2/8

= 9/8

= 1 1/8

Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:

= 1/4 + 3/8 + 1/4

= 2/8 + 3/8 + 2/8

= 7/8

The numybe of paint that Destiny use more than Carla will be:

= 1 1/8 - 7/8

= 2/8

= 1/4

Destiny used 1/4 paint more than Carla


Please help. No files allowed or you will be reported

Answers

Answer:

8/405

Step-by-step explanation:

Work out size of Angle x

Answers

Answer:

106

Step-by-step explanation:

all 3 of the angles add up to 360

you already know one is 164 and one is a right angle so

164 + 90 = 254

360 - 254 = 106

What is the value of x?
a . 75
b . 25.5
c . 8
d . 4.5

help meeee

Answers

Answer:

d. 4.5

Step-by-step explanation:

10x-5=16x+22

    -22      -22

10x-27=16x

-10x      -10x

-27=6x

x=4.5

The answer is d 4.5

7. The answer is letter A or letter D
Find the next two terms in the sequence.

40, 10, –20, –50, . . .

A.
60, 80

B.
–80, –110

C.
–70, –100

D.
–70, –90

Answers

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

It should be B because all of them subtract 30...


Pls help if you know the answer and explain, if you get it right I'll give you brainly
find the volume of the larger rectangular prism

Answers

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height

hello please help thanks

Answers

Answer:

density

Step-by-step explanation:

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

Answers

The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]

is needed.

Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)

Answers

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)

Answers

Answer:

I'll do the dilation for the first point and you will see the answer (please verify the second point)

Step-by-step explanation:

The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.

so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.

so the dilated point for (-4,-4) is (-14, -14)

Please verify by computing the dilated point for (-6,4)

Help me with this problem ASAP

Answers

The answer is D. 4.

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A.
Which measurement is closest to the distance between point A and point A' in units?
A)
4.1 units
B)
4.3 units
o
4.5 units
D)
4.7 units
We

Answers

the correct solution is A thanks

HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!

Answers

Answer:

x≈5.3 feet

Step-by-step explanation:

[tex]\frac{4}{15} =\frac{x}{20}[/tex]

[tex]15x=80[/tex]

x≈5.3 feet

Answer:

5.3m tall

Step-by-step explanation:

15/4 = 3.75

20/3.75= 5.3333333

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