Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
Because it's $8.95 per person, you would make it 12 * 8.95
The total cost would be $107.40
Answer:
Which grade math is this? I haven't learned it
Hi there!
So we know that the total would be $581 and so we also know that the washer cost 69 less than the dryer...
Let think...if we want to find the total, we should add 81 and 69 first...
![81+69=150](https://tex.z-dn.net/?f=81%2B69%3D150)
Now we can subtract 362 by 150 as a try...
![362+150=512](https://tex.z-dn.net/?f=362%2B150%3D512)
Now let try again...
If it would be 325 as the dryer, then the cost of the washer would be $69 less.
![325-69=256](https://tex.z-dn.net/?f=325-69%3D256)
Ok so this means that if we add the two numbers, we’ll get 581 if it is right...
![256+325=581](https://tex.z-dn.net/?f=256%2B325%3D581)
Perfect, so this means that the cost of the dryer is in fact 325$ and the washer would be the cost of 256$.
Step-by-step explanation:
1/3 + 3²+3³
=1/3+9+27
=(9+3+1)/27
=13/27