Answer:
Step-by-step explanation:
The sin(30) = 1/2
The sin(30) = 1/2 = opposite / hypotenuse
Opposite = 7
hypotenuse = opposite / sin(30)
hypotenuse = 7 / (1/2) = 7 *2 / 1 = 14
The long side can be found using the Pythagorian Theorem.
a^2 + b^2 = c^2
a = 7
b = ?
c = 14
14^2 = 7^2 + b^2
196 - 49 = b^2
147 = c^2
147 = 3*7 *7
sqrt(b^2) = sqrt(3*7*7)
b = 7 sqrt(3)
Answer:
y = x + 6.
Step-by-step explanation:
y = mx + c where m = the slope of the line and c is the y-intercept.
So here m = 4/4 = 1 and c = 6, so it's:
y = 1x + 6.
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
3/2
You go up 3 and to the right 2
Here is one method.
For each equation, first, let x = 0 and solve for y. that gives you one ordered pair. Plot that point. Then let y = = and solve for x. That gives you another ordered pair. Plot that point. Then draw a line that goes through those two points. Once you do this for both equations, if the lines intersect, the point of intersection is the solution.