<span>y = arctan(3) </span>
<span>Since the inverse tangent is a function, there is only one y-value. However, there are infinitely many solutions to tan(y) = 3 (they are arctan(3) + kπ where k is an integer). The approximate value of y here is y = arctan(3) ≈ 1.24905 (in radians).
</span>
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The distance between the points is 13
<h3>
Answer: B) 2</h3>
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Explanation:
Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.
Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.
You should have:
- 5 gray rectangles, and no squares (of any color) on the left side
- 10 black squares, no long rectangles (of any color), on the right side
From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.
This means the solution is 2.
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If you're curious about the algebraic way to solve, then you could do this:
3x-4 = -2x+6
3x+2x = 6+4
5x = 10
x = 10/5
x = 2
This method doesn't require us to use the visual model.
Answer:
D
Step-by-step explanation:
A is incorrect because if 1 x value corresponds to multiple y values, it is not a function
B is incorrect for the same reason as a
C is incorrect because it is linear
D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.
Answer:
80 minutes
Step-by-step explanation:
Rate and Time are inverses of each other
First,
Elise Time = 12
and
Katherine Time = 2 * 12 = 24
Their rates would be (inverses):
Elise Rate = 1/12
Katherine Rate = 1/24
Together their rate is 1/12 + 1/24 = 3/24
Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:
(3/24) ^ -1 = 24/3 = 8 minutes
So, 10 bags would take them:
8 * 10 = 80 minutes
