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Brrunno [24]
3 years ago
15

The length of a rectangle is 6 ft longer than twice the width. If the perimeter is 66 ​ft, find the length and width of the rect

angle.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Length (L): 2w + 6

width (w): w

Perimeter (P) = 2L + 2w

                66 = 2(2w + 6) + 2(w)

                66 = 4w + 12 + 2w

                 66 = 6w + 12

                  48 = 6w

                   8 = w

Length (L): 2w + 6   = 2(8) + 6   = 16 + 6   = 22

Answer: width = 8 ft, length = 22 ft

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Answer: She will pay $ 720 for the computer.

Step-by-step explanation:

Since, the cost price of the laptop = $ 900,

Also, after getting the $ 100 gift card,

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According to the question,

The store is offering 10% off on all computers.

The final price of the laptop = 800 - 10% of 800

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= $ 720,

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alexgriva [62]

The lateral surface area of the cylinder is option A) 251.3 cm²

<u>Step-by-step explanation:</u>

It is given that,

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  • The diameter of the base of the cylinder is  16 centimeters.

<u>To find the radius of the cylinder :</u>

Radius = Diameter / 2

⇒ 16/2

⇒ 8 centimeters.

  • The radius of the cylinder is 8 centimeters.

<u>To find the lateral surface area of the cylinder :</u>

The lateral surface area of the cylinder = 2πrh

where,

  • π the default value of 3.14
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∴ The lateral surface area of the cylinder = 2×3.14×8×5

⇒ 251.3 cm²

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the quadratic p(x)=.65x squared - .047x +2 models the population p(x) in thousands for a species of fish in a local pond, x year
ivanzaharov [21]

Answer:

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Step-by-step explanation:

we have

p(x)=0.65x^{2} -0.047x+2

This is a vertical parabola open upward

The vertex represent a minimum

p(x) is the population in thousands for a species of fish

x is the number of years since 1997

Remember that p(x) is in thousands

so

If the population reach 66,530 fish

then

the value of p(x) is equal to

p(x)=66.53

substitute in the quadratic equation

66.53=0.65x^{2} -0.047x+2

0.65x^{2} -0.047x+2-66.53=0

0.65x^{2} -0.047x-64.53=0

Solve the quadratic equation by graphing

The solution is x=10 years

see the attached figure

therefore

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