Answer:
5/13
Step-by-step explanation:
From the mnemoic SOH CAH TOA, we know that ...
... Cos = Adjacent/Hypotenuse
In this triangle, that means ...
... cos(A) = AC/AB
We are given the value of AC, but we need to find the value of AB. We can do that using the Pythagorean theorem:
... AB² + AC² +BC²
... AB² = 15² +36² = 1521 = 39²
... AB = 39
Then ...
... cos(A) = 15/39 = (5·3)/(13·3)
... cos(A) = 5/13
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
X=5
step by step explanation:
50-5=45
45 divided by 9= 5
x=5
1) 2x + 3y = 12 -> 3y = -2x +12 -> y = -2/3x + 4
2) 4y - 7x = 16 -> 4y = 7x + 16 -> y = 7/4x + 4
The answer is 68!!!!!!!!!