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3 years ago

The area of a rectangle is 216 square inches. If the perimeter is 60 inches, find the length and width of the rectangle

Mathematics

1 answer:

mojhsa [17]3 years ago

3 0

A=Lw

P=2L+2w

216=Lw

W=216/L...substitute to Perimeter equation

60=2L+2(216/L)

60L=2L^2 + 432

2L^2-60L+432=0

2(L^2 - 30L + 216)=0

2(L-18)(L-12)=0

L=12, W=18 or L=18, W=12

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Find the exact value by using a half angle identity.tan 75°

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The trigonometric function is given as

$\tan 75^{\circ}$

Apply the half angle identity to find the value of tan 75 ,

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Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

Again simplify the trigonometric function,

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1 year ago

4x - 3 = 5 X=? can anyone tell me please

vekshin1

Answer:

x = 2

Step-by-step explanation:

4x - 3 = 5

4x = 8

x = 8/4

x = 2

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4 (2) - 3 = 5

8 - 3 = 5

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answer: x = 2

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3 years ago

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3 years ago

Suppose a large population has a mean μand standard deviation σ, and a simple randomsample of size nis taken. The sampling distr

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Answer:

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Step-by-step explanation:

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The standard deviation of the sampling distribution of sample means is given by

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3 years ago

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Novosadov [1.4K]

Answer:

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Step-by-step explanation:

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2 years ago