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S_A_V [24]
3 years ago
10

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types a

t the fastest rate of words per minute?
Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}

Using this formula, we get

\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50

\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50

\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

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Answer:

D. 73°

Step-by-step explanation:

The inside angles of a triangle always equal 180° so if we know that a right angle is already 90° we only need one more angle to know all of them:

1. 90° + 17° + ?° = 180

2. 90° + 17° = 107°

3. 180° - 107° = 73°

4. 90° + 17° + 73° = 180

5. XD

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Jack is 27 years older than Susan. In 5 years, he will be 4 times as old as she is
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Answer:

x - Jack's age

y - Susan's age

Jack is 27 years older than Susan.

In 5 years he will be 4 times as old as she is.

Jack is 31 years old and Susan is 4 years old.

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Which answer best describes the shape of this distribution
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B.. skewed left

Step-by-step explanation:

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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

Find out more on equation at: brainly.com/question/2972832

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4 0
2 years ago
A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer. Find the rate of change of the an
lubasha [3.4K]

The rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground is  1/20 degree/sec.

<h3>What is angle of elevation?</h3>

It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.

Calculation for the rate of change of angle of elevation-

According to the question,

A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer.

The balloon is 100 feet above the ground.

Let the height of the balloon be 'h' ft.

Then tanØ = h/100

h = 100tanØ

Differentiate the above equation with respect to time.

dh/dt = 100 sec² Ø (dØ/dt)

We know dh/dt = 10 ft/sec.

when h = 100

tanØ = 100/100 = 1/1

tanØ = Perpendicular/Base

On comparing above two equations,

Perpendicular = 1; Base = 1.

By Pythagoras the hypotenuse is,

H² = P² + B²

    = 1² + 1²

    = 2

H = √2

Now, calculate the value of cosØ.

cosØ = B/H = 1/√2

Squaring both side

cos² Ø = 1/2

sec² Ø = 1/cos² Ø

sec² Ø = 2

The main equation was,

dh/dt = 100 sec² Ø (dØ/dt)

Substitute the values,

dØ/dt = (dh/dt )/100 sec² Ø

         = (10)/(100×2)

dØ/dt = 1/20 degree/sec.

Therefore, the rate of change of the angle of elevation of the balloon from the observer is  1/20 degree/sec.

To know more about the angle of elevation, here

brainly.com/question/9817377

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2 years ago
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