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3 years ago

8

A cyclist rides a bike at a rate of 24 miles per hour. What is this rate in miles per minute? How many miles will the cyclist tr

avel in 5 minutes? Do not round your answer.

1 answer:

BlackZzzverrR [31]3 years ago

4 0

there are 60 minutes per hour

24/60 = 0.4 miles per minute

0.4*5 = 2

they will ride 2 miles in 5 minutes

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Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

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Then the resulting ODE in $v(x)$ is separable, with

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On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

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3 years ago

Caroline wants to give 8 friends equal size packets of flower seeds to her friends. She has 1/2 pound of flower seeds. How much

Katena32 [7]

You just have to divide the 1/2 a pound by 8, or equivalently multiply by (1/8):

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2 years ago

The diagram below shows a student using a clinometer to measure the height of a flagpole. When the student stands 40 feet away f

AVprozaik [17]

The correct answer is the flagpole is <span>33 feet high</span>.

Explanation:
Please refer to the attached picture.

We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°

Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD

Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
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In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
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Hence, the flagpole is 33 feet high.

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3 years ago

INTELLIGENT STUDENT IN TRIG?.Ill give brainlest

faltersainse [42]

Answers:

x = 6

y = 6*sqrt(2)

=======================

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

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sin(45) = 6/y

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The answer is C! :)

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