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A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯ , A′B′¯¯¯¯
¯¯¯ , and M′N′¯¯¯¯¯¯¯¯¯ .
What are the lengths of the images?
Drag the answer into the box to match each segment.
P′Q′
A′B′
M′N′
0.75 cm1 cm1.5 cm3 cm4 cm6 cm
What are the lengths of the images?
Drag the answer into the box to match each segment.
P′Q′
A′B′
M′N′
0.75 cm1 cm1.5 cm3 cm4 cm6 cm
1 answer:
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You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
By following the formula, cos=3/5 then:
Multiply everything (inside the square 
root) by 5
Then just simplify
The answer is Square root of 20 over 5
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
By following the formula, cos=3/5 then:
*See attached picture showing the dot plots referred to
Answer:
16mm
Step-by-step Explanation:
Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.
Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.
From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.
Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.
