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Alecsey [184]
3 years ago
9

Yellowstone Lake, in Wyoming, is the largest high-altitude lake in North America, measuring 20 miles long and 14 miles wide. How

long and wide would Yellowstone Lake appear on a map with the scale 1 inch = 3 mi?
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

6.67in long and 4.67in wide

Step-by-step explanation:

Given the amp of the scale 1 inch = 3 mi?

If the measured length is 20miles

Let x be the dimension of the length on the map

1 inch = 3 mi?

x = 20miles

3x = 20

x = 20/3

x = 6.67in

For the width,

Width =14miles

Let y be the dimension of the width on the map

1 inch = 3 mi

y = 14miles

3y = 14

y = 14/3

y = 4.67in

Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map

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<span>z=5-2i

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A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in
lapo4ka [179]
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There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then level
aliya0001 [1]

Answer:

d =  787.81cm^3

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

r=4cm --- radius

h = 13cm --- height

The volume is calculated as:

Volume = \frac{1}{3} \pi r^2h

So, we have:

V_1 = \frac{1}{3} \pi * 4^2 * 13

V_1 = \frac{208}{3} \pi

The snow cone in a cup has the following dimension

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h = 5cm --- height

The volume is calculated as:

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So, we have:

V_2 =  \pi *8^2 * 5

V_2 =  \pi *320

V_2 =  320\pi

The difference (d) in the amount they hold is:

d = V_2 - V_1

d = 320\pi - \frac{208\pi}{3}

Take LCM

d =  \frac{3*320\pi -208\pi}{3}

d =  \frac{960\pi -208\pi}{3}

d =  \frac{752\pi}{3}

Take \pi = 22/7

d =  \frac{752}{3} * \frac{22}{7}

d =  \frac{752 * 22}{3*7}

d =  \frac{16544}{21}

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If a man earns $420 interest in one year at 7%, what was the amount of money invested?
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Peace.
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3 years ago
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