Answer:
4.88
Step-by-step explanation:
sinA=opposite/adjacent
sin24=x/12
12(0.40673664307)=x
x=4.88083971691
Answer:
Slope: -1/5 y-intercept: 12
Step-by-step explanation:
y = -1/5x + 12
The equation given is the slope-intercept form, y= mx + b
In this equation, the m, or number in front of the x, is the slope of the line.
The b in the equation represents the y-intercept.
Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.
So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!
Answer:
The circle's centre is at the position (3, 5), and it has a radius of 2
Step-by-step explanation:
First let's put it in a useful format by completing the squares:
x² + y² - 6x - 10y + 30 = 0
x² - 6x + y² - 10y = -30
x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25
(x - 3)² + (y - 5)² = 4
This tells us that the centre position is (3, 5) and the radius is √4, or 2
