Using relations in a right triangle, it is found that the values of the variables in the triangle below are given by:
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the hypotenuse is of 
, while the opposite angle to side y is of 30º, hence:
The adjacent side to the angle of 30º is of x, hence:
More can be learned about relations in a right triangle at brainly.com/question/26396675
Answer:
Using the elimination method to solve for x and y; ANSWER: y=2 & x=-20
Step-by-step explanation:
1) It helps to visualize the equation if you put the second equation underneath the first like regular adding.
(2x+10y= -20)
+ (-x+4y= 28)
____________
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2) You always want to cancel out one value (x or y) to start the process.
In this case, if I can get a -2x to cancel out 2x (neg. and positive cancel), that would cancel out the x's in the two equation. To do that, I would multiply by 2 to the second equation and add like you would normally (like terms with like terms, x with x and y with y)
2x+10=-20 2(-x+4y=28) ---> 2x+10y= -20 <u><em>plus</em></u> -2x+8y=56 --->18y=36 (this is the final simplified outcome)
3) find y so y =36/18 so y =2
4) Plug y=2 back into one of the original equation and solve for x
2x+10(2)= -20 ---> x=-20
Answer:
324
Step-by-step explanation:
given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
i.e. Sample proportion 
Margin of error = 4% = 0.04
Confidence level =90%
Z critical value for 90% = 1.645
Margin of error = 1.645 * std error
Hence std error = 
Std error is also equal to
Sample size should be 324.
The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2
To find the answer:
2books x 3pictures = 6books
Toby read 6 books in month one.
Answer:
17
Step-by-step explanation:
8+9 is 17
