Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x

Now we solve
* multiply each side by 20 *

we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)

*multiply each side by x*

*divide each side by tan(62)

we're left with x = 6.5
For 14)

multiply each side by x

divide each side by tan15

we're left with x = 44.8
For 15)

multiply each side by x

divide each side by tan(74)

we're left with x = 4.6
Answer:14.6341463415
Step-by-step explanation:
1 yard is 3 feet
4 yards is 12 feet
so 6' to 12' is 6/12
<span>or 1/2</span>
Answer:
y intercept is 18
Step-by-step explanation:
It is given that
Monthly rent for phone service = $18
charges for each long distance minute = $ 0.07
Let us assume number of minutes used = x
also let us represent total cost by y
So the total cost = ( charges per minute )(number of minutes) + monthly rent

now we compare this equation with y=mx+b
where m is the slope and b is y intercept
so we have b= 18
hence y intercept is 18
Answer:
1 / 9
Step-by-step explanation:
Choosing with replacement means that the first draw from the lot is replaced before another is picked '.
Number of Blue marbles = 2
Number of red marbles = 4
Total number of marbles = (2 + 4) = 6
Probability = required outcome / Total possible outcomes
1st draw :
Probability of picking blue = 2 / 6 = 1 /3
2nd draw :
Probability of picking blue = 2 / 6 = 1/3
P(1st draw) * P(2nd draw)
1/3 * 1/3 = 1/9