Add sin(x) to both sides
tan(x)sin(x)=sin(x)
Divide sin(x) from both sides
tan(x)=1
now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.
1/3x=x-22
Add 22 to both sides to get 22+1/3x=x
Subtract 1/3x from both sides to get 22=2/3x
Multiply each side by 3/2 to get x=33!
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3
Answer:
2.71428571429
Step-by-step explanation:
calculator, counted it myself too to check if it's right
2.71428571429
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The answer is √58 = 7.62
So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
c² = a² + b²
a = 3
b = 7
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = √58
c = 7.62