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3 years ago

Ethan ran 11 miles in 2 hours.what is the unit rate of miles to hour?

Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

5.5miles per hour / unit rate

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How many times can a 40-gallon barrel be filled from 5 casks, each holding 120 gallons?

Mariulka [41]

Answer:

It can be filled 15 times

Step-by-step explanation:

If 5 casks hold 120 gallons each,

5x120= 600

To find how many times a 40gallon barrel can be filled,

= 600/40

= 15

This means a 40 gallon barrel will be filled 15 times.

6 0

3 years ago

Read 2 more answers

The net of a pyramid is shown below:

Shalnov [3]

Answer:

Step-by-step explanation:

height of pyramid = √(10²-(5/2)²) = √93.75

volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³

lateral area = 2×5×10 = 100 in²

base area = 5² = 25 in²

surface area = 100+25 = 125 in²

6 0

3 years ago

Old faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o

Serhud [2]

Answer:

The height of near by tree will be 90 feet.

Step-by-step explanation:

Considering the water triangle as shown in figure a.

As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.

Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.

Let x be the height of near by tree that cost a shadow 63 feet long.

Assuming that the triangles are similar

So,

the ratios of similar triangles will be related as:

$\frac{63}{42}=\frac{x}{60}$

$\mathrm{Switch\:sides}$

$\frac{x}{60}=\frac{63}{42}$

${x}=60.\frac{63}{42}$

$x=90$ feet

Therefore, the height of near by tree will be 90 feet.

Keywords: ratio, similar triangle

Learn more about similar triangle from brainly.com/question/10161974

#learnwithBrainly

7 0

3 years ago

A city has a population of 250,000 people. Suppose that each year the population grows by 7.5%. What will the population be afte

Diano4ka-milaya [45]

So, if it grows by 6.75%, each year the population is 106.75% of the year before.

After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).

370,000(1.0675)12 = your answer

4 0

3 years ago

Can someone help!!! And explain please

vlada-n [284]

Answer:

400(π+2) feet square

Step-by-step explanation:

let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)

but since the cage is part of the circle and not full turn πr²/8

area of the circleπr²+ half area square

(π(40√2)²)/8 +40²/2

3200π/8+1600/2

400π+800

400(π+2) feet square

6 0

3 years ago