Answer:
154.6 units²
Step-by-step explanation:
½ × 21 × 16 × sin(67)
154.644815388
Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
<u>What is the Dilation?</u>
Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.
The following are the properties of dilation of the triangle:
1)measures of the angles will not change
2)The sides of the image of the triangle are multiplied by the scale factor 2.
So,
A'B'=2AB
B'C'=2BC
A'C'=2AC
Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
To learn more about the Dilation from the given link
brainly.com/question/3457976
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Answer:
i believe it would take 16. let me know if thats right?
Step-by-step explanation:
Answer:
the independent variable is the # of runners while the dependent is the # of water bottles
Step-by-step explanation:
Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!
