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Debora [2.8K]
3 years ago
13

1. Dante is driving 638 miles to his cousin. His car has 12-gallon tank and goes 22 miles for every gallon of gasoline.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

To find out how many miles Dante can drive with a full tank of gas, multiply 12 by 22. You will get 264, which is how many miles Dante can drive with a full tank of gas. If you divide 638, the total length of the trip, by 264, the answer is 2.41666. This means that it will take about 2 and a half full tanks of gasoline to get to his cousin. Since he started with a full tank, Dante will have to stop twice to completely refill his tank. The second time he stops, he will only use about half of his tank.

The answer is 2 times, or twice.

Hope this helps :)

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Solve each equation for θ, where 0° < θ < 90°. Answer correct to the nearest minute.
Assoli18 [71]

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

5 0
3 years ago
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi
torisob [31]

Andrew can reach a maximum of 24.6ft high up the wall.

The right-angled triangle formed can be solved using the sine ratio. that is

sin(72^\circ})=\dfrac{h}{20}

where h is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for h, we get

0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft

Since Andrew can reach an extra 5ft above the point where the ladder rests against the wall, the maximum height Andrew can paint is

(19.632+5)ft=24.632ft\\\\\approx24.6ft

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0
3 years ago
Nia fills 4 pitchers of orange juice. Each pitcher holds 3 quarts. How many gallons does nia have?
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3 0
2 years ago
Read 2 more answers
11. The perimeter of a rectangular garden is 96 ft. The length is five times the width. Find
asambeis [7]

Answer:

Length =40 ft.

width. = 8 ft.

Step-by-step explanation:

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2(5w+w)= 96

2( 6w) = 96

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w = 96/12

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5 0
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