For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour
Answer:
the point of interception is (8,3)
Step-by-step explanation:
The x variable represents the number of three point shots made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,3) we can say:
Nicole made 8 three point shots and 3 two point shots.
A = L * W
L = 3x + 5
W = x - 2
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x^2 - 6x + 5x - 10
A = 3x^2 - x - 10 <====
F(x) = 3x - 5
f(2) = 3 (2) - 5
f (2) = 6-5
f (2) = 1
