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SVEN [57.7K]
4 years ago
8

A tree casts a shadow 28 feet long. At the same time. A 5ft tall boy casts a shadow 8ft long how tall is the tree?

Mathematics
1 answer:
OlgaM077 [116]4 years ago
5 0

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use ratios to solve

Shadow

-----------

height

28          8

------ = ------------

tree         5

Using cross products

28*5 = 8 * tree

140 = 8 * tree

divide each side by 8

140/8 = 8 *tree/ 8

17.5 = tree

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Answer:

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Step-by-step explanation:

5 0
3 years ago
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A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are
PolarNik [594]
Now, the nickels and dimes are at ratio of 3:2.  However, the total amount is in dollars.  So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

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so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio
\\\\\\
\cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\
-------------------------------

\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes
\\\\\\
\textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\
-------------------------------\\\\
42~dimes + 28~nickels\implies \$5.60
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3 years ago
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29 minutes-  at a rate of 1,000 feet a minute, it would take 32 minutes to reach sea level (32,000/1000=32)but if you subtract 3000 from 32000 to remain 3000 feet above sea level, you have 29000 feet to descend which will take 29 minutes

4 0
3 years ago
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How do you find y in the rectangle??
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34 divided by 14 is 2.42......
Then multiply it by 6 to get your Y.
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