Mathematics, 11.07.2019 16:00 kolibeilfuss

Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.

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Answer from: erikloza12pdidtx

Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.

It is given that a cubit is equivalent to 17.7 in.

We have to determine the volume of the ark in cubic feet.

Since 1 feet = 12 inches.

Since, length = 2.5 cubits

= $2.5 \times 17.7$ inches

= 44.25 inches

= $\frac{44.25}{12}$

= 3.7 feet

Now, width = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

Now, height = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

SO, Volume of rectangular prism = $length \times width \times height$

So, Volume of ark= 3.7 $\times 2.2 \times 2.2$

= 17.9

= 18 cubic feet.

Therefore, the volume of an ark is 18 cubic feet.

Answer from: Quest

The answer to your question is b’(16,14)

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet....