The law of cosines is used for calculating one side of the triangle if the angle opposite to that side is given as well as the other sides. For this problem, we are given angle B. Therefore, the correct answer among the choices given is option 1 where a is equal to 5 and c is equal to 3.
A dilation is the best answer. A dilation shrinks or expands the shape on a plane. But now, that shape is the same shape, but a different size.
Congratulations! You have discovered simillar figures. They are the same shape, but different sizes, so they are not congruent.
Hope this helps
Answer:
There is no sufficient evidence to reject the company's claim at the significance level of 0.05
Step-by-step explanation:
Let 
be the true mean weight per apple the company ship. We want to test the next hypothesis
vs 
(two-tailed test).
Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by
which is normally distributed. The observed value is
. The rejection region for 
is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.
Answer:
26.6 miles
Step-by-step explanation:
distance = speed × time ( time is in hours )
= 7.6 × 3.5
= 26.6 miles
21 is the opposite of -21
