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guajiro [1.7K]
2 years ago
14

Doug entered a canoe race he rowed 3 1/2 miles in 1/2 hour what is his average speed in miles per hour

Mathematics
1 answer:
Effectus [21]2 years ago
4 0
7 miles per hour. Is the answer
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Help pleaseee!!!!!!!!!!!!
Veronika [31]

Answer:

C brainliest?

Step-by-step explanation:

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Quiz 2 : percent and percentage
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82%

Step-by-step explanation:

0.82x100=82

=82%

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The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

4 0
2 years ago
Alex purchased a motorbike that costs $3,500. He’ll pay for the motorbike through an installment plan. The installment plan requ
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Alex will pay $3,662

Step-by-step explanation:

To find the total cost, we can make an equation modeling y=mx+b, with y being the total cost, m being the monthly charges, x being the amount of time it takes, and b being the 10% down payment.

After plugging in the numbers to the equation, we get y=276(12)+350.

Now all that is left is to solve the equation as follows:

y=3,312+350

y=3,662

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3 years ago
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Solve equation- -8x-60=-164 <br> Helppp pls!
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-8x - 60 = -164

Add 60 to both sides, because whatever you do on one side, you have to do it to the other side

-8x = -104

Divide -8 to both sides

x = 13

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3 years ago
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