Answer:
<h3>length = 28 cm</h3><h3>width = 12 cm</h3>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 80cm
The length is 4 inches longer than twice the width is written as
l = 4 + 2w
Substitute this into the formula and solve for the width
That's
80 = 2( 4 + 2w) + 2w
80 = 8 + 4w + 2w
6w = 80 - 8
6w = 72
Divide both sides by 6
w = 12 cm
Substitute w = 12 cm into l = 4 + 2w
That's
l = 4 + 2(12)
l = 4 + 24
l = 28cm
Therefore
length = 28 cm
width = 12 cm
Hope this helps you
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Y = 8/cos60 = 16
x = sqr(16^2 + 8^2) = 8sqr(3) = 13.86 approx
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Answer:
55
Step-by-step explanation:
