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iren [92.7K]
3 years ago
12

tavyon can ride his bike at a constant rate of 12 miles per hour. how long would it take him to ride 66 miles

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer: 5 1/2 hours

Step-by-step explanation:

1 hour = 12 miles

2 hours = 24 miles

3 hours  =36 miles

4 hours = 48 miles

5 hours = 60 miles

6 hours = 72 miles

66- 60 = 6. 6 is half of 12.

In conclusion, it will take Tavyon 5 1/2 (or 5.5) hours to bike 66 miles.

Hope this helps!

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Andreas93 [3]

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))

= Sin(α)xCos(α) / Sin(α)

= Cos(α)

Hence verified

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4 0
2 years ago
A bag of trail mix weighs 2 pounds. By weight, 18% is oats. Write a percent proportion to find weight of oats in mix
inysia [295]
2 pounds  ---- 100%
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8 0
3 years ago
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The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
timofeeve [1]

Answer:

U B = 100.5

Step-by-step explanation:

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7 0
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The green valley zoo has a new colony of 17 egyptian fruit bats. it costs the zoo 0.86 per day to feed each bat a variety of sof
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It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

it costs the zoo 0.86 per day to feed each bat a variety of soft fruits. Hence:

Cost of 17 egyptian fruit bats = $0.86 per day * 17 = $14.62

It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

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2 years ago
Find the slope of the line that passes through (-19, -33) and (47, 5)
Vera_Pavlovna [14]
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1 / x2 - x1, where you subtract the first x and y-coordinates from the second x and y-coordinates. In other words, the order that the coordinates show up for this problem will be used in that order. For this case, here are the numbers that will be used for each.

y2: 5
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x2: 47
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Let's plug it in to get 5 - (-33) / 47 - (-19). Now, let's subtract. Just by looking at the numbers, we will actually be adding the numbers, because when you add a negative number, you actually add. So 5 + 33 is 38. 47 + 19 is 66. 38/66 is 19/33 in simplest form. There. The slope of the line is 19/33.
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