Answer:
You start at -9
-Open circle
-shade towards the right (where all the positive numbers are)
Open circle - ones that don't have a greater than or equal to. If it does then it's a closed one.
Shade towards the right cause y is less than 9
Answer:
The cotangent of the angle will be b/a
Step-by-step explanation:
Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,
then the cotangent will be the reciprocal of the value of the tangent
= 1 / (a/b)
= 1 x (b/a)
= b/a
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
Answer:
1. 0.21 like that has happened
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