Hi there!
Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle.
The side that is opposite angle B is side CA which is equal to 2.
The side that is adjacent to angle B is side CB which is equal to 1.
Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Step-by-step explanation:
2y+3=5x-18
swap both sides
5x-18=2y+3
add 18 to both sides
5x-18+18=2y+3+18
5x=2y+21
divide both sides by
5x/5=2y+21/5
X=2y+21/5
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!
Answer:
test statistic (Z) is 2.5767 and p-value of the test is .009975
Step-by-step explanation:
: percentage of students who smoke did not change
: percentage of students who smoke has changed
z-statistic for the sample proportion can be calculated as follows:
z=
where
- p(s) is the sample proportion of smoking students (
=0.25)
- p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
- N is the sample size (200)
Then, z=
≈ 2.5767
What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.
This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years
Answer:
Option (C)
Step-by-step explanation:
Value of y is more than the product of x and 2.
Equation representing the given condition will be,
y = 2x + 1
Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,
x 0 1 2 3 4
y 1 3 5 7 9
Therefore, table given in the Option (C) will be the correct option.