<h3>
Answer: 0.5</h3>
========================================================
Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
y = -3x - 2
Since a < 0 we have a decreasing line, so it can be only the first or the last
And if we solve the equation for y = 0 we have
0 = -3x - 2
3x = -2
x = -2/3
So, the last one is the right
Answer:
y = - 4x
Step-by-step explanation:
Here, it is given that the slope of a line is - 4 and the y-intercept is 0.
Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as
y = mx + c ......... (1)
Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is
y = - 4x (Answer)
Answer:
Step-by-step explanation:
Students in class who got 100% / All students in class
15 / 36 = .4166666....
Multiply by 100 to get a percentage.
.4166666.... * 100 = 41.66666....%
OR 41.7% with rounding
