Answer:
quandrant three is where both intervals will be negative since both x and y are negative. the exact interval is (-6, -6)
Step-by-step explanation:
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Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
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Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
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Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
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Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
Answer:
3 3/4
Step-by-step explanation:
First: 1/4 x 15/1 = 15/4
Second is to simplify: 15/4 equals 3 3/4
Answer: 3 units
Step-by-step explanation:
the volume of a cone C = πr²h/3
C = 18π, h =2x, r = diameter/2 = 2x/2 =x
18π = π* x²* 2x/3
divide through by π
18 = x² * 2x/3
multiply through by 3
54 = 2x³
divide through by 2
27 = x³
x =∛27 = 3
x = 3 units = radius
Answer:
7 and 12
Step-by-step explanation:
