Calculate the angle BAC

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

Sine Formula or Sine Rule :

BC / sinA = AC / sinB

60 / sinA = 84.95 / sin(115°)

60 / sinA = 84.95 / 0.91

60 / sinA = 93.7

sinA = 60 / 93.7

sinA = 0.64

A = arc(sin0.64)

A = 39°48'30"

A ≈ 40°

Hence, the value of angle BAC is 40°

40° is the right answer.

You might be interested in

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 500

kolezko [41]

Answer:

The 35-week gestation period baby has a z-score of 0.7.

The 41-week gestation period baby has a z-score of 0.89

Since the 41-week gestation period baby has a higher z-score, he weighs more relatively to his gestation period.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which baby weighs more relative to the gestation period?

The baby with the higher z-score.

35-week gestation period baby weighs 2850 grams

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 500 grams

This means that Z is found when $X = 2850, \mu = 2500, \sigma = 500$