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almond37 [142]
3 years ago
8

Using the law of cosines, a=_ rounded to the nearest tenth.

Mathematics
2 answers:
Leya [2.2K]3 years ago
5 0
A^2 = 4.0^2 + 3.7^3 - 2*4*3.7 cos 334

= 4.865

a =  2.2  to nearest tenth.
LiRa [457]3 years ago
5 0

Answer:

<h2>a is 2.21 units, approximately.</h2>

Step-by-step explanation:

If we applied the law of cosines, we would have

a^{2}=b^{2}+c^{2}-2bc.cosA

Where:

b=4.0\\c=3.4\\m\angle A=33\°

Replacing all these values in the law, we have

a^{2}=(4)^{2}+(3.7)^{2}-2(4)(3.7)cos33\°\\a^{2}=16+13.69-24.82\\a^{2}=4.87\\a=\sqrt{4.87}\approx 2.21

Therefore, a is 2.21 units, approximately.

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3. Tom, Sam and Matt are counting drum beats.
just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

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6 0
3 years ago
What are the first two terms of the sequence defined recursively by the formula
MrRa [10]
A3^2+4=1604

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5 0
2 years ago
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Keller lives in a city with 54,706 people. Dawson lives in a city with 45,802 people. How can the two cities that Keller and Daw
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Answer:

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Step-by-step explanation:

Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.

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Answer:

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