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zepelin [54]
2 years ago
12

If the length of a rectangle is three times it’s width and it’s parameter is 24cm what is the area

Mathematics
1 answer:
katrin [286]2 years ago
6 0

Answer:

Area = 27 cm²

Step-by-step explanation:

let L be the length of the rectangle

    w the width

    P the perimeter

    A the area

<u>Formulas</u> :

P = 2×(L + w)

A = L × w

<u>We are Given</u> :

L = 3w

P = 2×(L + w)

⇔ 24 = 2×(3w + w)

⇔ 24 = 2×4w

⇔ 24 = 8w

⇔ w = 24/8 = 3

Then

L = 3w = 3×3 = 9

We obtain L = 9 and w = 3.

Then

A = L × w

  = 9 × 3

  = 27

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A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder
Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base=\pi *r^2

For Base area=22 square units

22=\pi *r^2

      22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}

Volume of the cylinder=\pi *r^2*h

For volume '198 cubic units' the height(h) is:

       198=\pi *r^2*h

       198=3.14*(\sqrt{7.01})^2*h

         198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\

4 0
3 years ago
a young tree grows 6 cm per year. use the equation height = 6 cm x number of years to find how many years the tree would take to
AnnZ [28]
The tree grows 6cm per year and we need to find out how long it will take to grow 1 meter. We know that 1 meter is equal to 100 centimeters. So:
6x = 100
x = 16.67
It will take 16.67 years (or one and two-thirds of a year) for the tree to reach 1 meter.
7 0
3 years ago
Read 2 more answers
PLS HELP
Westkost [7]

Answer:

B and D

Step-by-step explanation:

I don't have much of an explanation, but I remember from taking geometry that those two angles are the same measurement because they're congruent interior angles. hope this helps :)

5 0
3 years ago
4c-6 over 3 equals 8
elena-s [515]
(4x-6)/3=8
4x-6=24
4x=30
x=7.5 or x=30/4
4 0
2 years ago
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