Answer:
Cylinder
(with radius of 4 units and height of 4 units)
Step-by-step explanation:
First, determine the shape of the 2D figure.
Point B is above point A, and point C is above point D.
Point A and B, and points C and D are on the same horizontal line.
Points A and B both have an x-value of zero.
Points C and D both have an x-value of 4.
Therefore, the width of the shape is 4 units
Points A and D have an y-value of zero.
Points B and C have an y-values of 4.
Therefore, the height of the shape is 4 units.
Therefore, the shape of the 2d figure is a square with side length of 4 unit. (See first attached image).
If the square is rotated above the y-axis, it creates a cylinder with a radius of 4 units and a height of 4 units. (See second attached image).
Percent change = [(45 - 60) / 60] x 100 = -25 % (decrease)
Answer:
9/32
Step-by-step explanation:
3/4 of 3/8 is 0.28125 or 9/32
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Answer:
Add 4 to each side
Step-by-step explanation:
