Given:
In triangle
.
To find:
The
.
Solution:
According to the law of sines:

Taking
, we get



Taking sin inverse on both sides, we get



Therefore, the correct option is b.
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 1.5 seconds
The standard deviation is s = 4 seconds
Given that the confidence level is 97% then the level of significance is mathematically represented as

=> 
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Csigma%20%7D%7B2%20%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
=> ![n =[ \frac{2.17 * 4 }{1.5} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B2.17%20%20%2A%204%20%7D%7B1.5%7D%20%5D%5E2)
=> 
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus

Therefore, the total cost on a $55 item is given by

</span>
Answer:
hi
Step-by-step explanation:
84⁰+103⁰+120⁰=307⁰
360⁰-307⁰=53⁰
x is 53⁰
have a nice day
Answer:
x = 2 is a solution
x = 0 is an extraneous solution
(Option 2)
Step-by-step explanation:
4/x = (3x + 2)/x²
4x² = 3x² + 2x
x² - 2x = 0
x(x - 2) = 0
x = 0, x = 2
Verification:
4/x = (3x + 2)/x²
At x = 2
4/2 = [3(2) + 2]/2²
2 = 8/4
2 = 2
At x = 0
4/0 = [3(0) + 2]/0²
Is undefined