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MariettaO [177]
3 years ago
7

Tell whether the relation is a function. {(-5, -3), (-1, 3), (4, 3), (8, 8)}

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

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Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


6 0
3 years ago
Y = -6x + 1<br> Gradient (m) =<br> Y-intercept (c) =
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Answer:

answer is 7x add the this number

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The fees for a biochemistry major are $1,728. To major in biochemistry. Toby requires 144 credit hours of coursework. How can he
bogdanovich [222]

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Find the sum of two consecutive numbers if the smaller one is 43
Alexxx [7]

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87

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Sum = 43+44

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Paulo can run a marathon in four hours and 20 minutes. If he's able to cut of 18% of his time, how long will it take him to run
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Cut out 18%
100=all,
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