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Marysya12 [62]
3 years ago
14

The length of a rectangle is twice its width. if the perimeter of the rectangle is 36 cm , find its area.

Mathematics
1 answer:
Brut [27]3 years ago
6 0
L = Length
W = Width

L x W = area
Length = 2w

Lets find the width by solving for w.
2w + w = 36 
3w = 36
3w/3 = 36 / 3 
w = 12

So
L = 2 x 12 = 24
W = 12
L X W = area
24 x 12 = 288 cm^2

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Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

Also we know that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

6 0
3 years ago
How would I do this? What would it be?
Vinvika [58]

50

Step-by-step explanation:

Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.

therefore,

m(Angle BAE)=m(Angle EAC)

x + 30 = 3x - 10

or, 2x=40

or, x=20

Hence,

m(Angle EAC)=

3x - 10

=

(3 \times 20) - 10  = 60 - 10 = 50

4 0
3 years ago
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