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Effectus [21]
3 years ago
10

The length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular pl

aying field is 414 yards, what are its dimensions:
The width is yards.
The length is yards.
Mathematics
1 answer:
Reil [10]3 years ago
6 0
Answer:
length: 167 yards
width: 40 yards

check: 4x+7
4(40)+7=167
167+167+40+40= 414
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Evaluate 4 + (-2) - (-3) – 6.
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Step-by-step explanation:

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Apply the markup for each item. Then, find the retail price. Round to two decimals places when necessary.
Alborosie

Answer:

$45 with 20% markup = $45 + $9 for a new total = $54

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If a cylinder has a height of 12 cm and a radius of 4 cm, what do you do to find the volume of the cylinder?
jenyasd209 [6]

Answer:

V = 603.43 cm³

Step-by-step explanation:

V = πr²h

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You have 15 pennies in your pocket. Of those pennies, 4 are Canadian. Suppose you pick a penny out of your pocket at random. Fin
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11/15

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3 years ago
A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m
photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

  • Mass of the car, v1 = 1500 kg
  • initial speed of car = 35 miles/h

                               =\dfrac{35\times 1609.34}{3600}\ m/s

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

k_1\ =\ \dfrac{1}{2}.m.v_1^2

       =\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule

       = 183606.46 J

  • Final velocity of car v2 = 70 miles/hour

                                      =\dfrac{70\times 1609.34}{3600}

                                      = 31.29 m/s

So, final kinetic energy of car is given by

k_2\ =\ \dfrac{1}{2}.m.v_2^2

        =\ \dfrac{1}{2}\times 1500\times (31.29)^2

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}

=>\ k_2\ =\ 4k_1                      

Hence, the kinetic energy will increase by 4 times.

7 0
3 years ago
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