Answer:
150 ft^3
.1 ton or 200 lbs
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 5*5*6
V = 150 ft^3
To find how much 1 ft^3 weighed take the weight and divide by the volume
15 tons / 150 ft^3
.1 ton / 1 ft^3
1 ft^3 weights .1 ton
We know that 1 ton = 2000 pounds
.1 ton = 200 pounds
The triangles are similar by the SSS (side-side-side) similarity theorem because the sides of the two triangles are in proportion (5/15 = 3/9 = 4/12)
Hope this helps =)
30 circuits is 10% of 300 circuits
Answer:
y = ½x - 14
Step-by-step explanation:
Given the linear equation, y = 3x - 4, where the <u>slope</u>, m = 3, and the <u>y-intercept</u> is (0, -4):
The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < <em>m</em> < 3. (a negative slope will show a <em>declining</em> line).
Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).
The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. <em>You're more than welcome to choose a different slope</em>, as long as it is less than 3, but is greater than 0 (must be a positive slope).
Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.