Answer:
Step-by-step explanation:
Given
Required
Determine the
<em>- sin</em>
<em>- cosine</em>
<em>- tangent</em>
of an angle
The given expression can be represented as follows;
Where A = 94 and B = 37
In trigonometry:
Substitute 94 for A and 37 for B
Hence, the angle is 57;
<em>Since 57 is not a special angle; I'll solve using a calculator</em>
<span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle
if R is the Radius of outer circle then...
Circumference of the outer track = 2pi*R
Similarly the circumference of the inner track (with radius r) = 2pi*r
length of each outer piece is 3.4 inch more than length of inner piece
So total outer length is 10*3.4 =34 inches more than the inner length.
=> Outer Circumference - Inner Circumference = 34 inches
=> 2pi*R - 2pi*r = 34
=> 2pi(R -r) = 34
=> R-r = 34/2pi = 5.41 inches
=> R-r = Width of the track = 5.41 inches</span>
Assuming 5/2y is the fraction,
= y + 5/2y + 10
You can divide the entire fraction (both numerator and denominator) by 2
= y + 2.5/y + 10
That is as far simplified, or 'lowest terms' as it gets.
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The measurement of Angle 1 is 61 degrees.
