Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x. This means that we have the angle, the side across from it, and the side adjacent to it. That sounds like the tangent ratio to me! Tangent of the angle is the side opposite over the side adjacent:
. Solving for x:
. Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet
X| 1 | 15 | 225 |
y| 4 | ? | 900 |
therefore
[tex]\dfrac{4}{1}=4;\ \dfrac{900}{225}=4;\ \dfrac{?}{15}=4\to?=60[\tex]
Answer: ? = 60
7.5 mph in 3 hours the train can travel 22.5 miles. Take 2.5 and times it by 3 to get the mph, then multiply that answer by 3 again to get the total miles in 3 hours
Answer:
D
Step-by-step explanation:
y equals 1. x equals 15. 15 over 15 is 1.
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
