<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6
Excluding the minus result, you got 7 teams.
Answer:
Step-by-step explanation:
<u>Step 1: Set x to -1 and solve</u>
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Answer:
Answer:
404 cm³ Anyway... Look down here for my explanation.
Step-by-step explanation:
Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.
We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area 88.8/360*area of circle - ½*7*788.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
Volume of water = cross-sectional area * length
13.5 * 30 cm³
404 cm³
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees
since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.
since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
