1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ann [662]
2 years ago
10

Convert the rate 25 miles per hour to feet per second

Mathematics
2 answers:
IRINA_888 [86]2 years ago
6 0

Answer:

36.67 feet / second

<h3><u>Step-by-step explanation:</u></h3>

We will be using Dimensional Analysis to solve this question

We are given the rate: 25 miles / hour

<u>Converting the Miles to feet:</u>

We know that 1 mile = 5280 feet

So, we can say that \frac{5280 feet}{1 mile} = 1

Multiplying the Given rate by 1:

\frac{25 miles}{Hour} * 1

(<em>multiplying by 1 will not change the actual value of the expression)</em>

\frac{25 miles}{Hour} * \frac{5280 feet}{1 mile}                                                          <em>(since 5280 feet/ 1 mile = 1)</em>

<em>here, the 'mile' will cancel out and we will get:</em>

\frac{25 * 5280 feet }{Hour }  

\frac{132000 feet}{Hour}

<u>Converting the Hours to Seconds:</u>

We know that 1 hour = 3600 seconds

So, we can say that:

\frac{1 Hour}{3600 seconds} = 1

Multiplying the Rate by 1:

\frac{132000 feet}{1 Hour} * 1

(<em>multiplying by 1 will not change the actual value of the expression)</em>

<em />\frac{132000 feet}{1 Hour} * \frac{1 Hour}{3600 seconds}<em>                                   (since 1 hour / 3600 seconds = 1)</em>

Here, the 'Hour' in the numerator and the denominator will cancel out to make:

\frac{132000 feet}{3600 seconds}

which can be simplified to:

\frac{36.67 feet}{second}

Therefore, 25 mph can also be written as 36.67 feet per second

Shtirlitz [24]2 years ago
4 0
Mile Per Hour to Foot Per Second Conversion Table
Miles Per Hour Feet Per Second
22 mph 32.27 ft/s
23 mph 33.73 ft/s
24 mph 35.2 ft/s
25 mph 36.67 ft/s
You might be interested in
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
gulaghasi [49]
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
      = x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
      = x² - 2ax + x√b - x√b + a² - b
      = x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
   = a +/- (1/2)*√(4b)
   = a +/- √b
x = a + √b, or x = a - √b, as expected.
3 0
3 years ago
Read 2 more answers
1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o
scZoUnD [109]

Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its perimeters is equal to the scale factor

so

The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

so

The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the  width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?​

we know that

If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

The new figure and the original figure are not similar figures

therefore

Corresponding sides are not proportional and corresponding angles are not congruent

so

<em>A) If the length of a rectangle was tripled, but the  width did not change?</em>

<em>Perimeter</em>

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

<u>Area</u>

The original area is A=LW

The new area  would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

<em>B) If the length was tripled and the width was decreased by a factor of 1/4?</em>

<u>Perimeter</u>

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

<u><em>Area</em></u>

The original area is A=LW

The new area  would be A=(3L)(W/4) ----> A=(3/4)LW

The area of the new figure is three-fourth times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

4 0
3 years ago
Rewrite as an exponential equation.<br> Log3 1/81 = -4
MakcuM [25]

Answer:

3`⁴ = 1/81

Step-by-step explanation:

________________

3 0
3 years ago
Write an equivalent
erma4kov [3.2K]

Answer:

By substituting the value of the variable and simplifying it with the equation you get 158.

3 0
3 years ago
Im going to keep coming with math questions so answer as many as you can correctly, i have to get an A o B on this quiz!
Julli [10]
The answer would be x = 88

5 0
3 years ago
Other questions:
  • WILL MARK BRAINIEST! 25 points!!! What is the x-coordinate of the solution to the following system of equations? 2x + y = −4 5x
    5·2 answers
  • Find the difference. Round your answer to match the less precise measurement. 83 g – 1.8 g 81 g 82 g 80 g 81.2 g
    15·1 answer
  • The sum of fifteen and six times a number t is eighty one what is the number
    11·1 answer
  • 272 people attend a School brass band competition.There are 223 children and 16 teachers,the rest are parents.Haw Manu parents a
    5·1 answer
  • 3/5 of a number is 27, what us the number
    12·2 answers
  • Lina has a total of 72 blue and red marbles in a box. The probability of choosing a blue marble at random from the box is 4/9
    7·1 answer
  • Raj gave his mother a bouquet of 12 pink and white roses. There were 4 pink roses in the bouquet. Which ratio represents the num
    5·2 answers
  • How to evaluate 4(x+2−5x) when x=2
    12·2 answers
  • Solve 3(-1)(10-5-2(3))
    5·2 answers
  • What is the value of x? If necessary leave your answer in the simplest radical form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!