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Mars2501 [29]
2 years ago
8

Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

Mathematics
1 answer:
algol132 years ago
8 0
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.
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olga2289 [7]
If you have learned how to find the line of best fit manually, then you can do it that way. Perhaps you may want to just find a line that can connect at least two of the points and I believe that that line will be able to represent the other points because, in general, the points are pretty close to one another. 

If you don't want to do it manually and have a graphing calculator (which I recommend) then you can use that to find the line of best fit (and if you want then you can see how precise your points are with your r^2 value). Or there is a website (http://illuminations.nctm.org/Activity.aspx?id=4186), which you can use to help you to find the equation of that particular line. 

Once you have that done, then you can substitute 2009 for the x value in the equation and then see what y value the equation produces. That will then be your answer :) 
4 0
3 years ago
Help pleaseeeeeeeeeeee
lina2011 [118]

Answer:

\sqrt{54} and \sqrt{120}

Step-by-step explanation:

If a number 'x' is a perfect square, then \sqrt{x} is rational.

25, 36 and 81 are perfect squares, but 54 and 120 aren't, so the irrational values are \sqrt{54} and \sqrt{120}

3 0
3 years ago
Read 2 more answers
The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo
kvasek [131]

Answer:

Hello!!!

In this specific case the constant of proportionality is s (speed).

Step-by-step explanation:

The constant of proportionality stay "constant" (as the name suggests) in a certain case.

meaning, the speed itself remains constant at any given distance or time.

You can use the constant of proportionality and either distance or time to find the missing varliable since it remains constant.

you can also switch up the formula:

d=st

t=d/s

s=d/t

i really hope this helps!!!!!

3 0
2 years ago
The dividend is a factor of 60. The divisor is a factor of 18. The quotient is a multiple of 3. Use the numbers to find one poss
Anna007 [38]

Answer:

The dividend is 360, divisor is 6 and quotient is 60.

Step-by-step explanation:

Factors of 3= 3*1

Factors of 18= 3*2*3

Factors of 60= 3*2*2*5

Taking LCM= 3*2*2*2*3*5= 360

60 is a factor of 360

The dividend is 360

If 360 is divided by 6 we get 60 which is a multiple of 3

and 6 is a factor of 18.

Therefore the dividend is 360 divisor is 6 and quotient is 60.

6 0
3 years ago
St. Louis, Missouri and Washington, D.C. Have very similar latitudes. (Latitude measures how far north or south a place is, whic
igor_vitrenko [27]

Answer:

The Answer is multiple choice and the answer is B. Only B.

Step-by-step explanation:

5 0
3 years ago
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