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Sindrei [870]
2 years ago
12

Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15

minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
Mathematics
1 answer:
Anna [14]2 years ago
8 0

The coach's errors are;

  • Wrong conversion when converting hour to seconds
  • The wrong conclusion since Eliza was running fast enough at a speed of 34ft/s compared to 8.8ft/s

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given the speed that Aliza needs to run in order to exceed her fastest time in a race = 8.8 feet per second

If her coach determines that she is running at an average rate of 5.8 miles per hour, we need to first convert the speed her coach assumed to feet per second

Convert 5.8miles to feet per second

According to the coach's conversion

=5.8\times \dfrac{1}{15}\times 5280\times \dfrac{1}{60}

This shows that 5.8mi/hr is equivalent to 34.0ft/s according to the coach conversion rate.

From the coach's calculation, we see that the coach made the first error by using 60s as 1hr instead of 3600s as 1hr

The coach also made an error by saying Eliza is not running fast enough to exceed her fastest time. We can see that Eliza was running fast enough since her speed at 34ft/s exceed 8.8ft/s.

Hence the second error was a wrong conclusion made by the coach.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

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Find the volume of a pyramid with a square base, where the side length of the base is
irina [24]

The volume of the pyramid is  167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = \frac{1}{3}×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid =  \frac{1}{3}×l²×h

=  \frac{1}{3}×8.3²×7.3 cube inch = 167.6 cube inch (approx)

8 0
3 years ago
$700 is invested at 4% per annum. How long will it take for the amount to reach $784?​
Blababa [14]

Answer:

3yrs

Step-by-step explanation:

Given parameters:

Capital = $700

Percentage interest  = 4% per annum

Unknown:

Time it will take for amount to be  = $784

Solution:

To find the simple interest on an amount;

        I = \frac{PRT}{100}

P is the principal

R is the rate

T is the time

I is the interest

    Insert the parameters:

        I  = \frac{700x 4 x T}{100}

        I = 28T

So;

   At the end of the duration:

       Principal + Interest  = Amount

          700+28T = 784

                   28T = 784 - 700

                   28T = 84

                       T = 3yrs

5 0
2 years ago
HELPPP MEEEE PLEASE!
Nataly [62]

Answer:

What is that

Step-by-step explanation:

I am scared of math

6 0
3 years ago
Choose the correct simplification of 8x2(4x 2x2 − 1). (5 points) group of answer choices 32x4 − 16x3 8x2 32x4 16x3 − 8x2 16x4 −
nekit [7.7K]

The second option is the correct answer

16x^{4}+40x^{3} -24x^{2}

The expression given to us is:

8x^{2} (5x+2x^{2}-3 )

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}

40x^{3} +16x^{4}-24x^{2}

Rearranging the above expression in descending order of power we get:

16x^{4}+40x^{3} -24x^{2}

From the given options we can see this is the second option. Hence the second option is the correct answer.

Learn more about equation here brainly.com/question/14180340

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8 0
1 year ago
What slope does a horizontal line have?
ioda

Answer:

Step-by-step explanation:

Horizontal

5 0
3 years ago
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