Answer:
46.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides and angles in a right triangle.
<h3>Sine</h3>
Here, the side lengths given are the hypotenuse (11) and the side opposite the angle (8). The mnemonic reminds you the relation involving those sides is ...
Sin = Opposite/Hypotenuse
Applying this to the given triangle, you have ...
sin(x) = 8/11
<h3>Angle</h3>
The angle is found using the inverse sine function. This may be called the sin⁻¹ function on your calculator. It is also referred to as the arcsine function.
x = arcsin(8/11) ≈ 46.658°
x ≈ 46.7°
__
<em>Additional comment</em>
The attachment shows a calculator making this computation. The angle mode is set to "Degrees", as indicated in the lower left corner.
I got the number
48,828,125
Answer:
1.75 or 1 3/4
Step-by-step explanation:
To find the radius from a diameter, we divide the diamiter by 2 because the diameter is the radius mutiplied by 2. so 7/2 also known at 3.5/2 = 1.75
Answer:
The equation of the line would be y = -3/2x + 7/2
Step-by-step explanation:
In order to find this, we must first use the slope formula with the two point to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - -1)/(-1 - 3)
m = 6/-4
m = -3/2
Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y + 1 = -3/2(x - 3)
y + 1 = -3/2x + 9/2
y = -3/2x + 7/2