Answer:
5/9 of 90 = (5/9)(90) = 50
Step-by-step explanation:
24÷3=8
There will be eight players on each team.
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
Answer: 55
Explanation:
Find the area of the entire shape: 7x9=63
Find the area of the missing piece: 8
7-3=4 9-5=4 4x4=16 16/2=8
Find the area: 63-8=55
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
