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denis-greek [22]
2 years ago
9

A rectangular piece of plywood has a diagonal that measures three feet more than the width. The length of the plywood is three t

imes the width. What is the length of the plywood diagonal?

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

The length of the plywood diagonal is 4.387\ units

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The diagonal of rectangle is equal to

d=\sqrt{x^{2}+y^{2} } -----> equation A

d=y+3 ----> equation B

x=3y -----> equation C

substitute equation C and equation B in equation A and solve for y

(y+3)=\sqrt{(3y)^{2}+y^{2}}

squared both sides

(y+3)^{2}=10y^{2}\\ \\y^{2}+6y+9=10y^{2}\\ \\9y^{2}-6y-9=0

Solve the quadratic equation by graphing

The solution is y=1.387\ units

see the attached figure

Find the value of d

d=y+3----- > d=1.387+3=4.387\ units

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Step-by-step explanation:

The null and alternate hypotheses can be stated as

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The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.

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I hope this helps!

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