Tan t= 8/15
cot t= 15/8
csc t=-17/8
use sohcahtoa and the reciprocals
Answer:
x=-5, y=-8. (-5, -8).
Step-by-step explanation:
-x+2y=-11
5x-8y=39
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5(-x+2y)=5(-11)
5x-8y=39
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-5x+10y=-55
5x-8y=39
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2y=-16
y=-16/2
y=-8
-x+2(-8)=-11
-x-16=-11
-x=-11+16
-x=5
x=-5
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
<h3>Answer: 32 degrees</h3>
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Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc ABC = 2*(angle D)
arc ABC = 2*(35)
arc ABC = 70 degrees
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break arc ABC into its smaller pieces
(minor arc AB)+(minor arc BC) = arc ABC
(38)+(minor arc BC) = 70
minor arc BC = 70-38
minor arc BC = 32
I think number #29 is A but may be B and number #30 is C
