Answer:
its a
Step-by-step explanation:
Answer:
x = -8/3
y = 4
Step-by-step explanation:
I assume you want to solve for x and y.
The best way to do this with the two formulas given is elimination. This means add the two equations together.
6x + 5y = 4
-6x + y = 20
The 6 x and -6x will cancel each other. By adding the like terms of the two together you will come out with
6y = 24
Now solve for y by dividing both sides by the 6.
y = 24/6 = 4
Now that we have y, you can plug it into one of the equations and solve for x.
Let's use -6x + y =20.
So plug in the 4 for y to get -6x + 4 = 20
Subtract the 4 from both sides then solve for y by dividing both sides by the -6.
-6x = 16
x = -16/6
You can reduce that down so that x = -8/3.
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is
times larger than the smaller leg. In this case, these dimensions are a base of
for the smaller leg and
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
Can you include a picture of the problem theres no information