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Law Incorporation [45]
2 years ago
13

Araron picked 14 pints of bottled water into a cooler for the family road trip. How many gallons of water did he pack into the c

ooler?
Mathematics
1 answer:
Maslowich2 years ago
4 0

Answer:

1.75 gallons

1 pint = 0.125 gallon

With that information, we can write a proportion:

\frac{1 pint}{0.125 gallons} = \frac{14 pints}{x}

Cross multiply:

x = 1.75 gallons

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You randomly survey students in your school about the color of their eyes. The results are shown in the tables. For each gender,
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I dont see a table dudde
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2 years ago
Mr. Miller has a 20-foot ladder, which he
dimulka [17.4K]

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}

b=\sqrt{72}

b= 8.49 ft

round to the nearest foot,

b = 8 ft

3 0
3 years ago
Which is the graph of the given function?
Schach [20]

ANSWER

The correct choice is A.

EXPLANATION

The given cosine function is:

f(t) = 2 \cos( - 4t)

This function has an amplitude of 2.

Hence it must have range,

-2≤f(t)≤2

It has a period of

\frac{\pi}{2}

Hence the function must complete one cycle on the interval,

[0,½π],

[½π,π],

etc.

The negative sign shows a reflection in the y-axis but since the cosine function is even, the function retraces itself.

The correct choice is A

4 0
3 years ago
Find the area of the triangular prism for a chance to get brainlest
Oduvanchick [21]

Answer:

57.09

Step-by-step explanation:

8 0
2 years ago
The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
bekas [8.4K]

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

4 0
3 years ago
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