2/pi
I took the test and got it correct.
<h3>
Answer: Graph a straight line through (0,-4) and (1,-8)</h3><h3>See diagram below</h3>
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Explanation:
Pick any number you want for x. I find x = 0 to be easiest. Plug this into the equation to get...
y = -4x-4
y = -4(0) - 4
y = 0-4
y = -4
This is the y intercept. The graph crosses the y axis at -4. So one point on this line is (0,-4) since x = 0 and y = -4 pair up together
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Repeat for another x value, say x = 1
y = -4x-4
y = -4(1)-4
y = -4-4
y = -8
We have x = 1 and y = -8 pair up now. Therefore another point on this line is (1,-8)
We could repeat for other x values, but we have enough info to graph this straight line. We only need two points minimum to graph a straight line.
So from here all you need to do is plot (0,-4) and (1,-8). Then draw a straight line through the two points. The line extends infinitely out in both directions.
You could use any other two points you wanted. For me I just find it easiest to work with 0 and anything close to it.
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Note how starting at (0,-4) we have moved 4 units down and 1 unit to the right to arrive at (1,-8). The "4 units down, 1 unit to the right" comes exactly from the slope of -4 = -4/1
slope = rise/run = -4/1
rise = -4 means we move down 4
run = 1 means we move 1 to the right
We assume the base is 12 in × 20 in, so its diagonal has length
... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches
Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:
... tan(α) = (7 in)/(4√34 in) ≈ 0.300123
The angle will be the arctangent of this value,
... α = arctan(7/√544) ≈ 0.291569 radians
Answer:
57.453 ft
Step-by-step explanation:
Glad to help ! :)
Answer:
2) 6
4) 9
Step-by-step explanation: