Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
Using a system of equations, it is found that:
- The cost of a health bar is of $1.
- The cost o a health drink is of $2.
<h3 /><h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Cost of a health bar.
- Variable y: Cost of a health drink.
You buy 4 health bars and 3 health drinks for $10, hence:
4x + 3y = 10.
Your friend buys 6 health bars and 2 health drinks for $10, hence:
6x + 2y = 10
2y = 10 - 6x
y = 5 - 3x.
Replacing on the first equation:
4x + 3y = 10
4x + 3(5 - 3x) = 10
-5x = -5
5x = 5
x = 1
Then:
y = 5 - 3x = 5 - 3 = 2.
- The cost of a health bar is of $1.
- The cost o a health drink is of $2.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
d. 32.9
Step-by-step explanation:
To find c, we'll use the Law of Sines that says:
And we'll isolate a to get:
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 47.3 = 42.7
(converted 47°18' to 47.3)
Then we will plug-in the information we already have
So, let's round it to 32.9 to match the answer number D.
Answer:
The answer is 0.230769 recurring
Step-by-step explanation:
i think its A not sure cause they all look the same