Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
C. If you would have parallel lines, those angles would be congruent.
Step-by-step explanation:
the slope-intercept form of a line (= linear function) is
y = ax + b
"a" is the slope of the line and represents the ratio "y coordinate change / x coordinate change" when going from one point to another on the line.
"b" is the y-intercept (the y value when x = 0; in other words, the y value where the line intercepts the y axis).
so, for the slope, let's compare 2 points. and let's pick just the first 2.
(1, 8) to (2, 11).
x changes by +1 (from 1 to 2).
y changes by +3 (from 8 to 11).
so, the slope is +3/+1 = 3/1 = 3
and our equation looks like
y = 3x + b
to get b, we use one point. I pick the first one for the smallest numbers :
8 = 3×1 + b = 3 + b
5 = b
the full line equation is therefore
y = 3x + 5
That would be 1/5. Hope this helps!
Answer:
Step-by-step explanation:
Volume of a cylinder is given by:
![V = \pi r^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E%7B2%7Dh)
Here,
V = 537 cc
r = 3 cm
Substituting and solving for the height:
h = 19 cm