The 30-60-90 triangle's sides share a ratio of 1:√3:2 where the shortest side is the one facing opposite 30°.
This means that the longest side of aa 30-60-90 triangle is twice that of the shortest side. Now, given that the shortest side has a length of 15, then its longest side would be 2(15) = 30.
Thus, the hypotenuse is 30 units.
Answer:
yes
Step-by-step explanation:
she needs 8 cups and 3 quarts is 12 cups
Answer: she began with 18 because 18 times 2 is 36
Step-by-step explanation:
Answer:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Step-by-step explanation:
For this case we have the following system of hypothesis:
Null hypothesis :
Alternative hypothesis:
In order to check this hypothesis we can use a z test for a proportion. The statistic is given by:
(1)
And the value for this case is
We are conducting a bilateral test so then the p value can be founded on this way:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Answer:
The opposite sides are equal