Answer: 1
Step-by-step explanation:
rewrite x^2 + y^2 -1 = 0 as x^2 + y^2 = 1
the 1 on the right hand side of the equation is equal to the radius squared
1 = r^2
r = 1
A=LW,
W=L/2, L=2W so:
A=(2W)W
A=2W^2 and A=34 so:
2W^2=34
W^2=17
W=√17, and since L=2W
L=2√17
So the length is 2√17 and the width is √17
(length≈8.25 and width≈4.12 if you wanted approximations...)
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
Answer:
√30-√18+√55-√33/2
Step-by-step explanation:
What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3
Given the expression
√6+√11/√5+√3
Rationalize
√6+√11/√5+√3 × √5-√3/√5-√3
= √30-√18+√55-√33/√25-√9
= √30-√18+√55-√33 /5-3
= √30-√18+√55-√33/2
This gives the required quotient
<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.