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olasank [31]
2 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]2 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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I can type 19 words in 38 seconds. How many can I type in 60 seconds?
mel-nik [20]
Hi!

We can solve this by setting up a proportion

\frac{19}{38}  \frac{x}{60}

Solve for x by cross multiplying.

19 x 60 = 1140
1140/38 = 30

You can type 30 words in 60 seconds

Hope this helps! :)
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6 0
3 years ago
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P Is inversely proportional to v<br><br> When p=5, v=8 <br><br> Find a formula for p in terms of v
Tju [1.3M]

Answer:

p = \frac{40}{v}

Step-by-step explanation:

Since p is inversely proportional to v then the equation relating them is

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5 0
3 years ago
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.
Nitella [24]
Here, I'll use C for combinations.
There are 15 boys and you need 3 so 15 C 3 ways
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The answer is [15 C 3 • 30 C 7] over 45 C 10

so do that on your calculator if you need an actual decimal.
4 0
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