Answer:
length is 17 in, width is 20
Step-by-step explanation:
let's shape this as an algebraic equation, where x= the length of one side.
since the width is 3 inches longer than the length, x will be the length and x+3 will be the width.
the perimeter is 74 in, and the perimeter is the added length of all sides. in a rectangle, 2 sides are the length and 2 sides are the width, so:
74 = 2x + 2(x + 3)
let's distribute the 2.
74 = 2x + 2x + 6
now, we combine the x's.
74 = 4x + 6
after this step, subtract 6 from the right to add it to the left side.
68 = 4x
finally, divide both sides by 4.
17 = x
perfect! now that we know the length, we just have to add 3 to find the width.
17 + 3 = 20
The graph of the linear equation y = 4x + 3 can be seen at the end of the answer.
<h3>How to find the graph of the given line?</h3>
Here we have the linear equation:
y = 4x + 3.
To graph it, we need to find two points that belong to the line, to do that, we evaluate in two different values of x. I will use x = 0 and x = 2.
When x = 0.
y = 4*0 + 3 = 3
So we have the point (0, 3).
When x = 2:
y = 4*2 + 3 = 8 + 3 = 11
So we have the point (2, 11)
Now we just need to graph these two points and connect them with a line. The graph of the linear equation is the one you can see below.
If you want to learn more about linear equations:
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Answer:
Volume of prop = 706.5 in³
Step-by-step explanation:
Given:
Radius = 5 in
Height = 17 in
Find:
Volume of prop
Computation:
Volume of prop = Volume of cone + Volume of hemi-sphere
Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³
Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³
Volume of prop = 444.83 + 261.67
Volume of prop = 706.5 in³
