Answer:
AR is 3 using Pythagoras 5^2 - 4^2 = 3^2. sin R is just sin (AC/RC). cos is adjacent over hypoteneus. tan is oppositve over adjacent. and sec is 1/cos, csc is 1/sin, and cot is 1/tan.
Answer: 8
Explanation:
Form: y = mx + b
Where:
m is the slope
b is the y-intercept
We have:
10x + y = 8
y = -10x + 8
Thus, the y-intercept is 8
Answer:
1. d. Two sided t-test
2. b. 0.000193
3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.
4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
Step-by-step explanation:
The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.
Answer:
The length of PQ is 24
Step-by-step explanation:
If you flip triangle PQR upside down the you can see which side corresponds to which. BC corresponds to QR and AB with PQ, the scalar is 6 because of BC (2) times 6 = QR (12). So you just have to do 4 times 6 which is 24.
Answer:
a. The measure of angle 2 is 63 and the measure of angle 3 is 117
b. The measure of angle 4 would be approximately 30.66...
c. The measure of angle 2 would be 17
Step-by-step explanation:
a. Angles 1 and 2 are alternate interior angles which means they are equal to each other. That means that both angles 1 and 2 and 63 degrees. Angles 2 and 3 are supplementary angles which means they add up to 180 degrees.
180-63=117 degrees
b. Angles 1 and 4 are alternate exterior angles and are also equal to each other. You would set up an equation that looks like...
74=3x-18
Add 18 to both sides
92=3x
Divide by 3 on both sides
92/3 which is approximately 30.67
c. Angle 1 and 2 are alternate interior angles. You would set the two given equations equal to each other.
3x-9=x+25
Subtract x from both sides.
2x-9=25
Add 9 to both sides.
2x=34
Divide both sides by 2.
x=17
