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!
Answer:
I cannot answer this. There are no letters. I am sorry that I couldn't help you.
Step-by-step explanation:
Answer:
7. x = 37.5
8. x = 8
Step-by-step explanation:
7. The sides of the triangles are proportional, therefore:
x/20 = (46 - 16)/16
x/20 = 30/16
Cross multiply
x*16 = 30*20
16x = 600
Divide both sides by 16
x = 600/16
x = 37.5
8. The sides of the triangles are proportional. Therefore,
(7x - 1)/22 = (3x + 1)/10
Cross multiply
10(7x - 1) = 22(3x + 1)
70x - 10 = 66x + 22
Collect like terms
70x - 66x = 10 + 22
4x = 32
4x/4 = 32/4
x = 8
Answer:
i cant choose any that applies to this question because there is no picture added to it and there are no choices to choose from. If i were to solve it though, it would be; yes, he will save enough money for his vacation.
Step-by-step explanation:
I know he would have enough--and in this case more than enough, because since he's planning to save $30 for a whole year just for $50, when he could simply make $60--which is in fact more than needed for his goal-- in just 2 months. If he were to stick with his plan though, he'd make $360. I got that by multiplying 30 by 12.