There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.
30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:
(4√3)/3
and then add that to 2√3:
(4√3)/3 + -2√3
(4√3)/3 + (-6√3)/3 = (-2√3)/3
We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).
60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:
4 x √3 = 4√3
4√3 + -2√3 = 2√3
So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).
hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!
the point (-1,5 ) is NOT a solution to the inequality.
There are three steps in graphing an inequality:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Now to solve this, graph the line y=4x-6
Lets use the point (0,0)
0<-6, is NOT true
So we shade everything to the left of the line y=4x-6
Hope that helped.
Answer:
second box must be 192in^3
Step-by-step explanation:
its a cube so length width height is all the same therefore,
4×4×4= 64
now u need a 2nd box 3 times volume of 1st all u need to do is multiply
64×3= 192
Answer:
42
Step-by-step explanation:
Number of students whose favorite class is Math:
60*0.85=51
Number of students whose favorite class is Science:
15% is equal to 0.15.
60*0.15=9
Subtract number of students who like science from number of students who like math.
51-9=42
42 more students in the survey prefer math over science.
Answer:
4-pound bag
Step-by-step explanation:
7.40/5 = 1.48
5.48/4 = 1.37
$1.37 is cheaper
