D=8.
4d-35=-3
4d=-3+35
4d=32
d=8
First, set up a proportion. 10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let’s use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. Multiply 58 by 89.7, giving you 5,202.6. Next, take 5,202.6 and divide it by 100. This should give you 52. 026, but it’s best to round this to 52. 52 students actually attend the art class, making this your final answer.
In order to graph y=-x+5, make a table and plug in values of x to find y. to find your points, use x,y.
x: 1 y: 4
x: 2 y: 3
x:3 y: 2
x: 2 y:1
these are the first four points for the first equation. to plug in, use ramdom numbers for x, such as 1, 2, and 3. y= -(1) +5
The general equation of the circle is:
(x -xo)^2 + (y - yo)^2 = r^2
Where xo,yo are the coordinates of the center and r is the radius of the circle.
Here (xo,yo) is (-16,30) and you can find the radius.
You can find the radius using the equation of the distance (Pythagoras) between the center (-16,30) and any point on the circunference. Here use (0,0)
r^2 = (-16 - 0)^2 + (30 - 0)^2 = 1156
Then, the equation is>
(x - (-16) )^2 + (y - 30)^2 = 1156
=> (x + 16)^2 + (y - 30)^2 = 1156. <----- answer
Answer:
c =√a2 + b2=√152 + 122=√369=19.20937
∠α =arcsin(a)c= arcsin(15)19.209372712299=arcsin(0.78086880944303) = 51.34° = 51
answer is C