The area of the lion is 6m
Because: This shape is difficult to find the area of so lets break it up into a square an 2 triangles. The squares dimensions are 2mx2m, to find the area of this we multiple them together to get, 4m. Next the triangles are the same dimensions so finding one, we find the other. The dimensions of these are 2mx1m. To find the area of a triangle you multiple the 2 sides (not the diagonal side) and divide by 2. 2x1 is 2, divided by 2 is 1. So the area of both of the triangles is 1. Now we just need to add all of these together. 4m+1m+1m= 6m
The vertex is (105,7)
Notice how on the graph, the y value peaks at 7. The y values to the left and right are symmetrical, meaning that the x value for the y value of 7 is the axis of symmetry, and the point (105,7) is the vertex.
1/5x + 2/3(15) = 30
1/5x +10 = 30
1/5x = 20
x = 20 * 5
x = 100
Answer:
672
Step-by-step explanation:
If there must be at least 4 people in each group, then the number of people in the group for tennis must be 4, 5, or 6.
There are
(10/k)=(10!)/(k!(10−k)!)
ways of choosing k people from a group of 10, and so there are
(10/4)+(10/5)+(10/6)=(10!)/(4!6!)+(10!)/(5!5!)+(10!)/(6!4!)
=2×(10×9×8×7)/(4×3×2×1)+(10×9×8×7×6)/(5×4×3×2×1)
=2×(10×3×1×7)/(1×1×1×1)+(1×3×2×7×6)/(1×1×1×1×1) =420+252=672
