Triangle abc is a right triangle and cos(22.6o)=b/13. solve for b and round to the nearest whole number.
which equation correctly uses the value of b to solve for a?

tan(22.6o) = a/13
tan(22.6o) =13/a
tan(22.6o) = a/12
tan(22.6o) = 12/a

The cosine of an angle is equal to the adjacent side divided by the hypotenuse. In a right triangle, the hypotenuse is the longest side. Its value is 13. It also follows that B is the adjacent side.

To solve for B,

B = 13 cos 22.6˚ = 12

The tangent of the angle is equal to the opposite side divided by the adjacent side. Since B is known, therefore the answer is

tan(22.6˚) = a/12 

it should be a and d. lmk if i'm wrong xd

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;