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inn [45]
3 years ago
14

At a certain time of the day, a tree 15 m tall casts a shadow of 12 m, while a second tree casts a shadow of 20 m. How tall is t

he second tree?
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
We can write a proportion: 15 m is to 12 m as some other height h is to 20 m

So we get
\frac{15}{12}=\frac{h}{20}
\rightarrow 15*20=12h
\rightarrow 12h=300
\rightarrow h=25

So the second tree is 25 m tall.
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nlexa [21]
Okay so.
2/5=24/60 (multiply 2/5 by 12)
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3 years ago
The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
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3 years ago
Find the value of x that will make A||B<br> A-<br> 2x + 50<br> 5x - 80<br> B-<br> x = [?]
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Answer:

15

Step-by-step explanation:

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7x - 75 = 180 subtract 75 from both sides

7x = 105 divide both sides by 7

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8 0
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Naya [18.7K]

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Step-by-step explanation:

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8 0
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