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 inversely as the length, l. a wooden beam 6in. wide, 9in. deep, and 12ft long holds up 1090lb. what load would a beam 5in. wide, 4in. deep and 17ft long of the same material support? (round off your answer to the nearest pound.)

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 =

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∝

Hence where k is constant.

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

Also Given:

width(w) = 5 in.

depth(d) = 4 in.

length(l) = 17 ft.

1 ft. = 12 in.

17 ft =

Hence length(l) = 204 in.

k = 322.96

We need to find the load beam(L);

Substituting new values we get;

Rounding the load in nearest pound we get;

Load beam(L) = 127 lb

Hence Safe  Load is 127 lb.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

180

step-by-step explanation: