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3 years ago

Find the length of the missing side.

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

The missing leg's measurement is 8.

Step-by-step explanation:

$a^{2} +b^{2} =c^{2}$

$a^{2}+15^{2} =17^{2}$

$a^{2}$ +225=289

$a^{2}$ =64

a=√64

a= 8

Hope this helps! :)

vodka [1.7K]3 years ago

6 0

Answer:

The length of the missing side is 8.

Step-by-step explanation:

to find the missing side, use the following formula:

$a^{2} = c^{2} - b^{2}$

(c = hypothenuse) (a and b = sides) ( a = missing side)

$a^{2} = 17^{2} - 15^{2}$

$a^{2} = 289 - 225$

$a^{2} = 64$

$\sqrt{a^{2} } = \sqrt{64}$

a = 8

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The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth,d, and inverse

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Answer:

Safe Load is 127 lb.

Step-by-step explanation:

Given:

Load (L) = 1090 lb.

width(w) = 6 in.

depth (d) = 9 in.

length (l) = 12 ft.

Since all other units are in inches and unit of length is in feet, So we will convert foot into inches we get;

1 feet = 12 inches

12 feet = $12\times12 =144 in.$

Hence length(l)= 144 in.

Now also Given

Load varies directly with width and square of depth and inversely with length.

Hence we can say that;

L∝ $\frac{wd^2}{l}$

Hence $L=\frac{kwd^2}{l}$ where k is constant.

Now Substituting the given values we will find the value of k we get;

$1090=\frac{k\times6\times9^2}{144}\\\\1090=\frac{k\times6\times81}{144}\\\\1090\times144= 486k\\\\k=\frac{1090\times144}{486}\approx 322.96$

Also Given:

width(w) = 5 in.

depth(d) = 4 in.

length(l) = 17 ft.

1 ft. = 12 in.

17 ft = $12 \times 17 = 204\ in.$

Hence length(l) = 204 in.

k = 322.96

We need to find the load beam(L);

$L=\frac{kwd^2}{l}$

Substituting new values we get;

$L = \frac{322.96\times 5\times 4^2}{204} = \frac{322.96\times 5\times 16}{204} = 126.65\ lb$

Rounding the load in nearest pound we get;

Load beam(L) = 127 lb

Hence Safe Load is 127 lb.

3 0

3 years ago