Answer:
<h2>a = 16</h2>
Step-by-step explanation:
Look at the picture.
The formula of an area of a trapezoid is:
- bases
- height
We have:
Substitute:
<em>divide both sides by 8</em>
Answer:
x = 24
Step-by-step explanation:
10:8
10(3) = x(3)
x = 8
30 : 24
Try this solution:
1. according to the condition
2. for more details see the attached graph.
Answer: [0;+oo)
Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Let x represent invested money at 9% and y at 7%
Now we write system:
x+y = 6300
1.09*x + 1.07* y = 6300 + 493 = 6793
1.09x + 1.09y = 6867
Here we multiplied first equation with 1.09 and now we will subtract second from first:
0.02y = 74
y = 3700
x = 6300-3700 = 2600
Michael invested 2600 at 9% and 3700 at 7%
