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lana [24]
3 years ago
5

A basketball rim 10 ft high casts a shadow 15 ft long. at the same time, a nearby building casts a shadow that is 54 ft long. ho

w tall is the building
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
15/10= 3/2
54/x=3/2
3× what=54
18
18×2= 36 ft the building is 36 ft
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GaryK [48]

Answer:

(8,-3)

Step-by-step explanation:

I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.

Hope this helps!

3 0
2 years ago
Two similar cylinders have surface areas of 24 cm² and 54 cm². The volume of the smaller cylinder is 16ñ cm³.
kumpel [21]

Answer:54pid

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6 0
2 years ago
find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP​
galben [10]

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

  1. (3/4 )x + 3\frac{1}{2} = (2/3)x - 6\frac{1}{2}
  2. (3/4)x + (7/2) = (2/3)x - (13/2)
  3. (3/4)x - (2/3)x = - (13 /2) - (7/2)
  4. (1/12)x = -10
  5. x = -10 / (1/12) = -120
5 0
2 years ago
Find x and y so that the quadrilateral is a parallelogram.
sergiy2304 [10]

Answer:

Result:

  • The value of x = 12
  • The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

  • The value of x = 12
  • The value of y = 21
3 0
3 years ago
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