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LiRa [457]
2 years ago
3

A car travels at a constant speed. The table shows the distance y (in miles) that the car travels after x minutes. How far does

the car travel after 12 minutes? Time (minutes), x 0 10 20 30
Distance (miles), y 0 8 16 24
Mathematics
1 answer:
svet-max [94.6K]2 years ago
7 0

Answer: 9.6 miles.

Step-by-step explanation:

1. You can calculate the speed of the car with the following formula:

V=\frac{d}{t}

Where <em>d </em>is the distance and <em>t</em> is time.

2. Choose any point of the table given in the problem and substitute it into the formula. Then:

(10,8)

Where:

t=10min\\d=8mi

So:

V=\frac{8mi}{10min}=0.8\frac{mi}{min}

3. Solve for the distance from the formula shown above to calculate the distance the car travels after 12 minutes. as following:

d=V*t

4. Substitute values. Then, the result  is:

d=(0.8\frac{mi}{min})(12min)=9.6mi

 

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Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ
BaLLatris [955]

Answer:

V = 11.2 cm^3

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, V = \frac{1}{3}\pi r^2h

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

C = 2\pi r

We have C to be 5.8cm

By substituting this value;

5.8 = 2\pi r

Divide through by 2\pi

\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}

r = \frac{5.8}{2\pi}

r = \frac{2.9}{\pi}

Now, we can calculate the volume of the cone

By substituting r = \frac{2.9}{\pi} and h = 12.5 cm;

V = \frac{1}{3}\pi r^2h becomes

V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5

V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5

V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5

Take \pi as 3.14

V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5

V = 11.15976

V = 11.2 cm^3 ---- Approximated

Hence, the volume of the cone is; V = 11.2 cm^3

4 0
2 years ago
What is the approximate perimeter of the figure?
exis [7]
<span>This is a perimeter of 1/4 of a circle. We know that the radius of the circle: r = 5 in. Also the perimeter of the circle is : 2 * r * Pi = 2 * 5 * 3.14 = 31.4 in. For the quarter of a circle it its 31.4 : 4 = 7.85 in. After that we can add the 2 lengths of the radius: P = 5 + 5 + 7.85 = 17.85 in ( approx. 17.9 in ). Answer: C ) 17.9 in. </span>
7 0
2 years ago
Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a
nadezda [96]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

7 0
2 years ago
Circle D is shown. Line segment C D is a radius with length 18 centimeters. Which statements are true regarding the area of circ
saul85 [17]

Answer:

I just took the test, it's 1 and 3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Margie is packing 108 small boxes into a large carton. the small boxes will fill all of the space inside the large carton. Each
just olya [345]
2 inches wide
that means that the height of the large carton is 2 inches

find the volume of the carton
V=108 times volume of small box
V=108 times 1 times 2 time s3
V=648 in^2

height is 2
V=LWH
648=LW2    (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
legnth of base is less than 36
div
we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)

so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values

(L,W,H) possible values are
(27,12,2)
(18,18,2)



the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2
4 0
2 years ago
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