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2 years ago

A rectangle is 80 inches long. The diagonal is 100 inches.

Mathematics

2 answers:

LuckyWell [14K]2 years ago

7 0

The answer is the width is 60 inches long

aev [14]2 years ago

3 0

I assume you are asking for the width of the rectangle
If so, use Pythagorean Theorem, a^2+b^2=c^2
80^22+b^2=100^2
6,400+b^2=10,000
b^2=3600
b=60
so the width equals 60in

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Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

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