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S_A_V [24]
3 years ago
8

miguel joins a gym that has a 40$ membership fee and charges 22.50 per month.he also joins a martial art class that charges 16$

per month and an initial fee of 26$.which expression represent miguel total cost after m months of membership.

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The gym membership is going to cost 40 initially plus 22.50 for each month after.

The total cost for the gym can be expressed as 40+22.50m

The martial arts class is going to cost 26 initially plus 16 for each month after.

The total cost for the martial arts class can be expressed as 26+16m

Now we have to combine these to get the total cost for both the gym and the martial arts class:

(40+22.50m) + (26+16m) = 66 + 38.50m  (option A)

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When we are given 3 sides, we try to solve the angles first by using the
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cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
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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
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sin(B) / side b = sin(A) / side a
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</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


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