Determine which of the two acute angles has a cosine of 4/5.
1 answer:
Answer:
CosA = 4/5
Step-by-step explanation:
The acute angle with cosine of 4/5
Recall from trigonometry ;
Cosine = Adjacent / hypotenus
From the right angled triangle Given:
For angle A :
Opposite = BC = 8
Hypotenus = AC = 10
Cos A = BC / AC = 8 /10 = 4 /5
CosA = 4/5
For C :
Opposite = AB = 6
Hypotenus = AC = 10
Cos C = 6 /10 = 3 /5
You might be interested in
Answer:
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) =
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix