What is the slope-intercept equation of y-intercept = (0, -1) slope = -2
2 answers:
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Answer:
The correct answer is 4294967296 possible ways to complete such a test.
Step-by-step explanation:
Step 1
The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are ways to complete the first step,
ways to complete the second step,
, and
ways to complete the
step, this process can be carried out in
ways.
Step 2
We use the fundamental principle of counting with for a total of
steps. This test can be carried out in
ways. This comes from multiplying 4 by itself 16 times.
Explanation:
There are two different formulas that are useful with the given information:
Area = (1/2)ab·sin(C)
Area = √(s(s-a)(s-b)(s-c)) . . . where s=(a+b+c)/2
It does not matter which sides are designated a, b, and c. Angle C will be opposite side c.
The third angle can be computed based on the fact that the sum of angles in a triangle is 180°. It will be 180° -32° -28° = 120°. The least-to-greatest order of the angles is the same as the least-to-greatest order of the length of the opposite side. So, we might have ...
- a = 7, A = 28°
- b = 8, B = 32°
- c = 13, C = 120°
Utilizing the first formula, the area is ...
Area = (1/2)(7)(8)sin(120°) = 14√3 ≈ 24.249 . . . square units
Utilizing the second formula, the area is ...
s = (7+8+13)/2 = 14
Area = √(14(14-7)(14-8)(14-13)) = 14√3 ≈ 24.249 . . . square units
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For the answer to be complete, it should be noted that using either of the other two angles will give different results for the area. That is because those angles are not exact values, but are rounded to the nearest degree. Using the first formula with the different angles, we get ...
- area = (1/2)(8)(13)sin(28°) ≈ 24.413 . . . square units
- area = (1/2)(7)(13)sin(32°) ≈ 24.111 . . . square units
The first of these answers is a little high because 28° is a little more than the actual value of the angle. Likewise, the second of these answers is a little low because 32° is slightly smaller than the actual angle.
In short, the most accurate information available should be used if the answer is to be the most accurate possible. If the angles are exact, then their values should be used. If the side measures are exact, then their values should be used. In general, it will be easier to make accurate measurements of the side lengths than to make accurate angle measurements.
Answer:
No. of times Ellen draws a blue marble = 120
Step-by-step explanation:
No. of red marbles = 3
No. of blue marbles = 2
So, the required probability is 120.