Answer:
2144.66in³
Step-by-step explanation:
Radius = 8 inches.
To determine the amount of sphere to make the ball, we'll have to find its volume.
Volume of a sphere = 4/3 * Πr³
V = 4/3*Πr³
Π = 22/7
V = 4/3 * 22/7 * 8³
V = 2144.66inches³
V = 2144.66in³
The amount of plastic required is 2144.66in³.
Answer:
(4,-3)
Step-by-step explanation:
If you graph this point, then it will be in the 3rd quadrant.
A 180 degree rotation will put it in the 1st quadrant.
And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).
Answer:
0
Step-by-step explanation:
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Answer:
a. Slope = 2; y-intercept = 2
b. Slope = 2; y-intercept = 3
c. Slope = 2; y-intercept = -1
d. Slope = -2; y-intercept = 5
e. Slope = -3; y-intercept = -5
d. Slope = -2; y-intercept = 1
Step-by-step explanation:
I Hope That This Helps! :)
Answer:
22.9m
Step-by-step explanation:
Using Pythagorean theorem, we can get two equations using the angles.
From Point A:
∠A = 20°
AB = 20m
From Point B:
∠B = 29°
BD = x
What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.
So we use this formula for both point of views:

Where:
Opposite = height of the building
Adjacent = distance from the building
We are looking for the opposite side so we can tweak our formula to get an equation for the height

Using our given, we can solve for the distance of point B to D:

The distance of point B to D is 38.2572 m.
Now that we know the distance of BD we can solve for the height of the building using only the given from point B.




But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.
21.21m + 1.7m = 22.91m
The closest answer is: 22.91 m