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Ivanshal [37]
2 years ago
7

A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?

Mathematics
1 answer:
mote1985 [20]2 years ago
7 0

Answer: The height of the tree is  27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = <em><u>270 /10 =27</u></em>

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Factor by grouping. 9c^3-12c^2+18c-24
xeze [42]

Answer:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

Step-by-step explanation:

Given

9c^3 - 12c^2 - 18c - 24

Required

Factor

Group into 2

[9c^3 - 12c^2] - [18c + 24]

Factorize each group

3c^2[3c - 4] - 6[3c - 4]

Factor out 3c - 4

[3c^2 - 6][3c - 4]

Hence:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

8 0
2 years ago
6 4/5 - 2 1/5 is what?
pogonyaev
6-2=4     whole number
4/5-1/5=3/5 fraction
  put the fraction and whole number toger and you'll get
since the denominator is the same it's easier to subract

4 3/5    <--- answer
3 0
3 years ago
Read 2 more answers
Express the decimal as a percent. 0.053
velikii [3]

Hey this is very easy to learn! So to express a decimal as a percent all we have to do is multiply it by 100. So multiplying .053 by 100 would just mean moving the decimal point 2 spaces to the right.

So the answer would be 5.3%

I hope this helps!

-Ayden

8 0
3 years ago
Please help me!
Tomtit [17]
This is how it would work to find answer

You divide 225 by 45 and the answer you would get is 5 so

 It will take 5h for the train to travel


hope this helps


3 0
3 years ago
Read 2 more answers
An animals heart beats 80 beats per minute how many minutes does it take to beat a million times?
Klio2033 [76]

The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.

80 x 5 = 400. This gives us a building block on our way to 1,000,000. From here, we can go further and say that 400 x 5 = 2,000; that 2,000 x 5 = 10,000; and finally that 10,000 x 100 = 1,000,000. Altogether, starting from 80, that's

80 x 5 x 5 x 5 x 100 = 80 x 25 x 500 = <em>80 x 12,500</em>

So, since 80 goes into one million 12,500 times, it takes 12,500 minutes for the animal's heart to beat that 1,000,000 times.

4 0
3 years ago
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