Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
Plug in the values
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
Sin(B) = 0.3936
B = 
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
Plug in the values
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
a = 7.60294329 ≈ 7.6 (nearest tenth)
an = a1+ d(n-1)
a1 =14
an=206 when n=25
206 = 14 + d (25-1)
206 = 14 + d * 24
subtract 14 from each side
192 = 24d
divide by 24 on each side
d=8
The common difference is 8
The question is incomplete.
This is the complete question as I found in internet:
<span>Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y = 10
these are the points:
</span>
-1,5
1,5
0,-5
0,5
Answer: (0, -5)
Explanation:
point x y 5x - 2y = 10 ?
-1,5 -1 5 5(-1) - 2(5) = - 5 - 10 = - 15 ≠ 10 ⇒ not a solution
1,5 1 5 5(1) - 2(5) = 5 - 10 = 5 ≠ 10 ⇒ not a solution
0,-5 0 -5 0 -2(-5) = 10 ⇒ a solution
0,5 0 5 0 - 2(5) = - 10 ≠ 10 ⇒ not a solution
Answer:
The sample size n = 4225
Step-by-step explanation:
We will use maximum error formula = 
but we will find sample size "n"
Squaring on both sides , we get
Given 99% confidence interval (z value) = 2.56
given maximum error = 0.02
n≤ 
( here S.D = p(1-p) ≤ 1/2
on simplification , we get n = 4225
<u>Conclusion</u>:
The sample size of two samples is n = 4225
<u>verification</u>:-
We will use maximum error formula = = 
= 0.0196
substitute all values and simplify we get maximum error is 0.02
