To answer this question, you can use the values of the unit circle to figure out the angle measurement. Since the cosine is the x value of the circle, we can see that at 45°<span>, the x value is √2/2.
So the missing angle should be 45°</span>
Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.
Anyway, it means that the area is given by
Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:
The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:
So, the area is
Answer:
3/50
Step-by-step explanation:
There are 5 + 4 + 2 + 6 + 3 = 20 marbles in the bag
P(draw a black) = 6/20 = 3/10
If the black marble is replaced, then there are 20 marbles in the bag again.
P(draw a blue) = 4/20 = 1/5
P(draw a black and blue with replacement) = (3/10)(1/5) = 3/50
V = l * w * h
470.40 = 6.4 * 9.8 * h
Multiply the length and width on the right side of the equation.
470.40 = 62.72 * h
Divide both sides by 62.72
7.5 cm = h
CHECK
V = l * w * h
V = 6.4 * 9.8 * 7.5
V = 470.4 cm^3
Step-by-step explanation:
5 tablespoons = 2 cups milk
1 tablespoon = 2/5 cups milk
40 tablespoons = 2/5 × 40 = 16 cups milk
