Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
The equation should be 7x^2 -x-9=0
Answer:
I'm pretty sure he or she are right^^
Step-by-step explanation:
I Know
The answer to that is 58,805,595 . hope this helps !!!
Answer:
The slope between the two points: (3, 20) and (5, 8) is -6.
Step-by-step explanation:
Put the points in the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
Substitute the values.
m = (8 - 20)/(5 - 3)
Subtract.
m = (-12)/2
Divide.
m = -6