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Afina-wow [57]
4 years ago
11

A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place of

work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Mathematics
1 answer:
svlad2 [7]4 years ago
8 0

Answer:

16. 1 miles

Step-by-step explanation:

Using Pythagorean Theorem,

a^2 + b^2 = c^2

Since the road that goes from his home to work directly is c^2...

Plug in the rest of the numbers

16^2 + 2^2 = c^2

256 + 4 = c^2

260 = c^2

The reverse square of 260 is

16. 1 miles

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A recipe for cooking rice indicates that 14 cups of boiling water are needed for 8 cups of rice.
Natali [406]

Hello!

This is a question about ratios and relating them to multiples of the ratio.

We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.

Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.

Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.

That means that 16 cups of rice should be added if we have 28 cups of boiling water.

In terms of ratios, we can set up the following proportion.

\frac{14}{8}=\frac{28}{x}

Then here, we can cross multiply and solve for x.

14x=224

x=16

Hope this helps!

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