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2 years ago

It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill

Mathematics

1 answer:

White raven [17]2 years ago

5 0

Answer: a) 1791 seconds

b) 29701 seconds

Step-by-step explanation:

1 us gallon = 0.134 cubic foot

It takes your garden hose 20 seconds to fill your 2-gallon watering can. Converting 2 gallons to cubic foot, it becomes

2 × 0.134 = 0.268 cubic foot

a) The volume of inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep.

Volume = 3 × 8 × 1 = 24 cubic feet

If 0.268 cubic foot = 20 seconds

24 cubic feet = (24 × 20)/0.268

= 1791 seconds

b) Volume of a cylinder is πr²h

Diameter = 13 feet

Radius = diameter/2 = 13/2 = 6.5

Volume of the circular pool is

3.14 × 6.5² × 3 = 397.995 cubic feet

If 0.268 cubic foot = 20 seconds

397.995 cubic feet = (397.995 × 20)/0.268

= 29701 seconds

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Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.

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The 2s in the top and bottom can cancel out, leaving the fraction 63/16.

In addition, since there are x terms on the top and bottom, they cancelled out as well.

x/x^3=1/x^2

This leaves an x^2 term on the bottom.

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

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2 years ago

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Answer:

The value of y is 6 $\sqrt{3}$ units ⇒ 2nd answer

Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

(NT)² = NU . NM
(MT)² = MU . MN
(TU)² = MU . NU
TM . TN = TU . MN

∵ NU = 9 units

∵ UM = 3 units

∵ MN = UM + NU

∴ MN = 3 + 9 = 12 units

- By using the 1st rule above

∴ (NT)² = 9 × 12

∴ (NT)² = 108

- Take a square root to both sides

∴ NT = $\sqrt{108}$

- Simplify the root

∴ NT = 6 $\sqrt{3}$ units

∵ NT is y

∴ y = 6 $\sqrt{3}$ units

The value of y is 6 $\sqrt{3}$ units

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2 years ago

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Hong Tang's gross weekly salary is $615. His weekly federal withholding is $55.

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too much math for my mental health

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The drama club is selling short sleeved shirts for $5 each and long sleeved shirts for $10 each. They hope to sell all of the sh

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Answer:

150 short sleeves ordered

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2 years ago

Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π, Calc

denpristay [2]

Answer:

200.96 square feet

Step-by-step explanation:

The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .

Area of a circle is given by

Pi r^2

Where

r = radius

Given diameter of 16 feet

r = diameter/2

= 16/2

= 8 feet

Pi = 3.14

Therefore,

Area = 3.14 x 8^2

= 3.14 x 8 x 8

= 200.96 square feet

The amount of fencing Scott will need to buy is 200.96square feet

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2 years ago