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olasank [31]
3 years ago
11

A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo

ng is it's shadow​
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

\frac{5}{80}=\frac{12}{x}

x = \frac{(80)(12)}{5}= 192 ft ⇒ x is the length of the shadow of the building

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Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long
LUCKY_DIMON [66]

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

4 0
3 years ago
Greatest common factor for 32-4x
Anastasy [175]

Answer:

 

4

out of  

32

−

4

x

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4

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8

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x

)

Step-by-step explanation:

8 0
3 years ago
How to measure and find the circumcenter of a triangle
Nadusha1986 [10]
Circumcenter Calculator

Circumcenter of triangle can be defined as the point where the three perpendicular bisectors of the sides of the triangle meet. The distance of vertices of triangle is equal to circumcenter.

It is the single point where the perpendicular bisectors of the three sides of the triangles meet .
It is basically the point of concurrency inside the triangle.
The distance of circumcenter from the three vertices of triangle are equal.
It is used to draw the circum circle , infact it is the center of the circumcircle formed.
There is a unique circumcenter possible for each and every triangle.
Circumcenter Calculator is used to calculate the circumcenter of the triangle, if three coordinates are given.
Please mark braileist I only need one
4 0
3 years ago
When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U
xxMikexx [17]
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
4 0
3 years ago
Lacie is filling a bucket with water.
ella [17]

Answer: Option A) liters

Step-by-step explanation:

Liters is the standard unit of measurement for volume. Metres, on the other hand, is the standard unit of measurement for length, height, width or distance traveled.

So, since we are to me measure the amount (volume) of water in Lacie's bucket, liters is the standard unit to used.

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4 years ago
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