Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
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So what you need to start with is taking the x from both sides as adding 12 to them. Then, you move the 27 over 4 decimals.
Hey there :)
9( n - 4 ) - 4n ( n - 4 )
We can take ( n - 4 ) as common as both are getting multiplied by ( n - 4 )
We can join 9 - 4n together
Therefore, the final answer will be ( n - 4 )( 9 - 4n )
Answer:
24
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/6, 3/8
For the denominators (6, 8) the least common multiple (LCM) is 24.
LCM(6, 8)
Therefore, the least common denominator (LCD) is 24.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/6 = 1/6 × 4/4 = 4/24
3/8 = 3/8 × 3/3 = 9/24
Hello from MrBillDoesMath!
Answer: The cylinder on the left has 4 times the volume of the cylinder on the right.
Discussion.
The volume of a cylinder of height "h" and radius "r" is given by
PI * r^2 * h (r^2 signifies r squared)
(Think of this formula as the area of the circle or radius r multiplied by the height the circle is pushed "up" to create the cylinder)
The volume of the cylinder on the left is: Pi * 4^2 * h = 16 Pi *h
The volume of the cylinder on the right is: Pi * 2^2 * h = 4 Pi *h
As 16/4 = 4, the cylinder on the left has 4 times the volume of the one on the right.
Thank you,
MrB
