Problem 10
<h3>Answer: approximately 57.39159 km</h3>
Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
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Problem 11
<h3>Answer: approximately 10.46162 meters </h3>
Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
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Problem 12
<h3>Answer: approximately 16.05724 cm</h3>
Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
To prove two equations have infinite solutions, you have to prove that those two equations are the same equations, but in a different form.
For example: Prove the equations are infinite
5y=2x+7
10y=4x+14
If you multiply the first equation by 2, and substitiute any of the numbers, you will get 0=0
Answer:
The type of transformation that is used here is translation. Translation is when one shape slides to another location. According to the picutre, the shape is the same size and not rotated. Therefore, it is a translation.
The direct variation equation is y = kx.
In this case, the equation is y = 1.8x.
Substitute the given points into the equation. If the x and y coordinate of a point satisfies the equation and both sides are equal, then that point is your answer.
Answer:
<em>The answer to your question would be D.</em>
<em>D. Range: 20</em>
<em>Mean: 10</em>
<em>Median: 9</em>
<em>Mode: none</em>
Step-by-step explanation:
1, 2, 3, 8, 9, 12, 14, 20, 21
Range: 21 - 1 = 20
Mean: 1 + 2 + 3 + 8 + 9 + 12 + 14 + 20 + 21 = 90/9 = 10
Median: 9
Mode: there are no mode in the following given data set.
