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3 years ago

A student ran the 50 yard dash in 5.8 seconds at what speed did the student run in miles per hour round to the nearest 10th

Mathematics

2 answers:

Otrada [13]3 years ago

8 0

The answer is 17.6 miles per hour

Firdavs [7]3 years ago

6 0

Answer:

The speed of student is 17.634 miles per hour.

Step-by-step explanation:

We need to find the speed of student in miles per hour.

Distance covered by student = 50 yards

We know that there are 0.000568182 miles in 1 yard.

Thus, the student covered

$50\times 0.000568182 = 0.0284091~ miles$

Time taken by the student = 5.8 second

We need to convert second into hours. There are 3600 seconds in 1 hour.

Time taken by student

$\displaystyle\frac{5.8}{3600} = 0.001611~ hours$

Formula:

$Speed = \displaystyle\frac{\text{Distance covered}}{\text{Time taken}}$

$Speed = \displaystyle\frac{0.0284091}{0.001611} = 17.634\text{ miles per hour}$

Thus, the speed of student is 17.634 miles per hour.

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The square of a number plus three times the number is 70. find the numbers.

Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

$x^2+3x=70$

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

$x^2+3x-70=0$

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

$x^2+10x-7x-70=0$ and now we will factor by grouping:

$(x^2+10x)-(7x-70)=0$ and factor out what's common:

$x(x+10)-7(x+10)=0$

The factor (x + 10) is common, so we will now factor that out:

$(x+10)(x-7)=0$

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

$(-10)^2+3(-10)=70$ simplifies to

100 - 30 which does in fact equal 70. OR

$(7)^2+3(7)=70$ which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0

2 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

Area of square,

$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

$P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785$

Therefore, the probability that the point is inside the circle is 0.785 .

4 0

2 years ago

7.8 billion pounds of candy per year how much per month per person with 303 million people

likoan [24]

7.8 billion/12 is how much per month:
7,800,000,000/12 = 650,000,000 candy per month.

To find out per person, divide the total amount of candies by the months in a year, then divide that amount to the population.
7,800,000,000/12 = 650,000,000
650,000,000/303,000,000 = 2.14 (Round down) = 2

Answers:
Per month: 650,000,000 candies
Per person: 2 candies

8 0

3 years ago

Solve the following formula for m v2=3Pmn

Andru [333]

Answer:

m= 0 /(−3np+v2 )

Step-by-step explanation:

8 0

3 years ago

The sum of two positive integers is 67. When the smaller integer is subtracted from twice the larger, the result is 38. Find the

bixtya [17]

Answer:

Step-by-step explanation:

x+y = 67

2x-y = 38

Add the equations together

3x = 108

x = 36

y = 67-x = 31

8 0

3 years ago