Well sin cos and tan can only work on a right trangle so whats 90 - 58 = ?
its 32
Answer:
Step-by-step explanation:
16x - 7y = 4
-x + 7y = 26
15x = 30
x = 2
2 - 7y = -26
-7y = -28
y = 4
(2,4)
Answer:
0.16 ft
Step-by-step explanation:
v = 4/3 πr³
v = 4/3 × 3.142 × 1/3 × 1/3 × 1/3
v = 0.16 ft
Answer:
The number of parents who volunteered to bring refreshments is 16.
Step-by-step explanation:
The information provided is:
N = 84
n (S) = 35
n (S ∩ R) = 11
n (R) = 1.5 × n (S' ∪ R')
Compute the value of n (S ∪ R) as follows:
![n(S\cup R)=n(S)+n(R)-n (S\cap R)\\\\n(S\cup R)=n(S)+[1.5(N-n(S\cup R)]-n (S\cap R)\\\\n(S\cup R)=n(S)+1.5N-1.5n(S\cup R)-n (S\cap R)\\\\2.5n(S\cup R)=n(S)+1.5N-n (S\cap R)\\\\2.5n(S\cup R)=35+(1.5\times84)-11\\\\2.5n(S\cup R)=150\\\\n(S\cup R)=\frac{150}{2.5}\\\\n(S\cup R)=60](https://tex.z-dn.net/?f=n%28S%5Ccup%20R%29%3Dn%28S%29%2Bn%28R%29-n%20%28S%5Ccap%20R%29%5C%5C%5C%5Cn%28S%5Ccup%20R%29%3Dn%28S%29%2B%5B1.5%28N-n%28S%5Ccup%20R%29%5D-n%20%28S%5Ccap%20R%29%5C%5C%5C%5Cn%28S%5Ccup%20R%29%3Dn%28S%29%2B1.5N-1.5n%28S%5Ccup%20R%29-n%20%28S%5Ccap%20R%29%5C%5C%5C%5C2.5n%28S%5Ccup%20R%29%3Dn%28S%29%2B1.5N-n%20%28S%5Ccap%20R%29%5C%5C%5C%5C2.5n%28S%5Ccup%20R%29%3D35%2B%281.5%5Ctimes84%29-11%5C%5C%5C%5C2.5n%28S%5Ccup%20R%29%3D150%5C%5C%5C%5Cn%28S%5Ccup%20R%29%3D%5Cfrac%7B150%7D%7B2.5%7D%5C%5C%5C%5Cn%28S%5Ccup%20R%29%3D60)
Now compute the value of n (R) as follows:
![n (R) = 1.5 \times n (S' \cup R') \\\\n (R) = 1.5 \times [N-n (S \cup R)]\\\\n (R) = 1.5 \times [84-60]\\\\n(R)=16](https://tex.z-dn.net/?f=n%20%28R%29%20%3D%201.5%20%5Ctimes%20%20n%20%28S%27%20%5Ccup%20R%27%29%20%5C%5C%5C%5Cn%20%28R%29%20%3D%201.5%20%5Ctimes%20%20%5BN-n%20%28S%20%5Ccup%20R%29%5D%5C%5C%5C%5Cn%20%28R%29%20%3D%201.5%20%5Ctimes%20%20%5B84-60%5D%5C%5C%5C%5Cn%28R%29%3D16)
Thus, the number of parents who volunteered to bring refreshments is 16.