Answer:
x ≈ 5.63
Step-by-step explanation:
We use cos∅ for this problem (adjacent over hypotenuse)
Step 1: Write equation
cos62° = x/12
Step 2: Isolate <em>x</em>
12(cos62°) = x
x = 5.63366
And we have our final answer!
<h3>
Answer:</h3>
1.25 < y < 8.32124...
<h3>
Step-by-step explanation:</h3>
The least y can be is the value that makes the angle in the smaller triangle be zero. (This condition will exist when the difference of side lengths is 4.)
... 4y -5 = 0
... y = 5/4 . . . . . add 5, divide by 4.
_____
The greatest y can be is the value obtained when the triangle is isosceles. For the larger triangle, that makes the side lengths (s) be ...
... 3/s = sin(43°/2)
... s = 3/sin(21.5°)
Then for the smaller triangle, that makes the angle be ...
... 4y -5 = arcsin(2/s) = arcsin(2/3·sin(21.5°))
... y = 1.25 + arcsin(2/3·sin(21.5°))/4
... y ≈ 8.32124
Answer:
Step-by-step explanation:
X =75
1. x/6 = 15 - 4
x = 11 × 6
x = 66
2. 2/7x = 3/14 - 1/7
2/7x = 3 - 2/14
2 = 7x/14
x = 4
3. 4+10 = x/2
14 × 2 = x
x = 28