Sinθ = (2/3) tanθ < 0 Implies tanθ = Negative.
For sin positive and tan negative, implies θ is in the second quadrant.
<span>Sinθ = (2/3) = opposite / Hypotenuse.
Adjacent side:
x</span>² + 2² = 3²
x² + 4 = 9<span>
</span>x<span>² = 9 - 4
</span>
x<span>² = 5
</span><span>
x = </span>√5 = Adjacent.
<span>
cos</span>θ = Adjacent / Hypotenuse = √5 / 3
<span>
Since </span><span>θ is in the second quadrant, cosine is also negative in the second quadrant.
</span><span>
Therefore:
</span>cos<span>θ = - (√5/3)
</span>
The last option from the top : <span>negative square root of 5 over 3</span>
The answer is x over x + 3.
Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.
Fraction is 5/6
To find the decimal, divide 5 by 6 and round to the nearest hundredth
Decimal is 0.83
Then to find the percent you slide the decimal over two spaces.
Percent is 83%
The ratio is 5:6
It makes a 74 degree angle.
The sides of the triangle that are given are the side adjacent to the angle the ladder makes with the ground and the hypotenuse of the triangle.
adjacent/hypotenuse is the ratio for cosine:
cos x = 7/25
To solve this, we will take the inverse cosine:
x = cos⁻¹(7/25) = 73.7 = 74
Y = -5x + 1
x = 1 , y = -4
x = 2 , y = -9
x = 3 , y = -14
so the answers are
(1,-4)
(2,-9)
(3,-14)
