We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°
Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°
Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°
The smallest angle is A which is equal to 41.41°.
Answer:
a) The interval for those who want to go out earlier is between 43.008 and 46.592
b) The interval for those who want to go out later is between 47.9232 and 51.9168
Step-by-step explanation:
Given that:
Sample size (n) =128,
Margin of error (e) = ±4% =
a) The probability of those who wanted to get out earlier (p) = 35% = 0.35
The mean of the distribution (μ) = np = 128 * 0.35 = 44.8
The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792
The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)
b) The probability of those who wanted to start school get out later (p) = 39% = 0.39
The mean of the distribution (μ) = np = 128 * 0.39 = 49.92
The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968
The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)
The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier
No because if you could use distributive property you would do 5*7 then 5*10 then you would get 35*50 which equals 1,750 and if you do it like it’s set up you would do 7*10 first cause PEMDAS so parentheses first so 7*10 is 70 then 70*5 is 350 and that’s not even close to the other answer so no you can’t .
Answer: 1/3
Explanation: Zach does 1/6 in 30 minutes (1/2 an hour), in an hour Zach can complete 2/6 of his homework. Simplify to 1/3.
Answer:
The Answer is: 47 1/4
Step-by-step explanation:
11/8a + 5/4a = 18
Create a common denominator for he coefficient of a:
11/8a + 2/2 * 5/4a = 18
11/8a + 10/8a = 18
21/8a = 18
Multiply both sides by the inverse of 21/8:
8/21 * 21/8a = 18 * 21/8
a = 378/8 or 189/4 or 47 1/4
