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2 years ago

The length of a rectangle is 3 times its width. If the perimeter is 48 what is its area?

2 answers:

5 0

P = 2(L + W)
P = 48
L = 3W

48 = 2(3W + W)
48 = 2(4W)
48 = 8W
48/8 = W
6 = W....so the width is 6

L = 3W
L = 3(6)
L = 18....and the length is 18

A = L * W
A = 18 * 6
A = 108 <====and the area is 108

Alexus [3.1K]2 years ago

4 0

The answer is that the area is 63

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In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find

zalisa [80]

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

$P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}$

(b) The probability of winning a 6/53 lottery is given by:

$P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}$

(c) The probability of winning a 6/51 lottery is given by:

$P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}$

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

$r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417$

It is 1.6417 times more probable.

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2 years ago

4x?=298 show your work

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Read 2 more answers

Which of the following is a solution to 2sin^(2)x+sinx-1=0

lukranit [14]

Hello,

$2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\$

Answer A : 45°

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2 years ago