Step-by-step explanation:
solve for x
![5x + 35 + 2x - 15 = 90 \\ 7x + 20 = 90 \\ 7x = 70 \\ x = 10](https://tex.z-dn.net/?f=5x%20%2B%2035%20%2B%202x%20-%2015%20%3D%2090%20%5C%5C%207x%20%2B%2020%20%3D%2090%20%5C%5C%207x%20%3D%2070%20%5C%5C%20x%20%3D%2010)
For y
![y = 180 - 65 \\ y = 115](https://tex.z-dn.net/?f=y%20%3D%20180%20-%2065%20%20%5C%5C%20y%20%3D%20115)
For z
![5z - 18 = z + 22 \\ 4z = 40 \\ z = 10](https://tex.z-dn.net/?f=5z%20-%2018%20%3D%20z%20%2B%2022%20%5C%5C%204z%20%3D%2040%20%5C%5C%20z%20%3D%2010)
We will use the Cosine law:
c² = a² + b² - 2 a b cos C
In this case:
15² = 10² + 7² - 2 · 10 · 7 cos K
225 = 100 + 49 - 140 cos K
76 = - 140 cos K
cos K = - 76 / 140
cos K = - 0.5428
∠ K= cos ^(-1) ( -0.5428 ) = 122.88° ( the largest angle )
49 = 100 + 225 - 2 · 10 · 15 cos J
- 276 = -300 cos J
cos J = 0.92
∠J = cos ^(-1) 0.92 = 23.08° ( the smallest angle )
122.8° - 23.08° = 99.8°
Answer: D )
Answer:
105.84 cm
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (16.8) 12.6
A = 1/2 (211.68)
A = 105.84 cm
hope it helps :)
mark brainliest!!
Recall that the tangent function is defined as tan theta = opp / adj.
The angle 270 has a zero "adj side." We cannot divide by zero. Thus,
tan 270 is undefined. Note also that tan 90 degrees is also undefined.
Answer:
5/3
Step-by-step explanation:
Set it up like multiplying fractions
5/18 * 6/1
Then you can simplify this by turning the numerator 6 into a 1 and the denominator 18 into 3.
5/3 * 1/1
5/3 times 1 equals to 5/3.