<u>Given</u>:
The measure of 
is 162°
We need to determine the measure of ∠EAB
<u>Measure of ∠EAB:</u>
Let us determine the measure of ∠EAB
We know that, "If a tangent and chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc".
Applying the above theorem, we get;
Substituting 
, we get;
Dividing, we get;
Thus, the measure of ∠EAB is 81°
Answer:
10 feet
Step-by-step explanation:
Given
Dimension = 2 feet by 3 feet
Required
Determine the length of the short side if the longer side is scaled to 15 feet
Represent the before and after enlargement as a ratio:
Before Enlargement
Ratio = 2 ft : 3ft
After Enlargement
Ratio = x : 15 ft
Where x represents the length of the shorter side
Since they're both proportional, their ratio must be equal.
So, we have:
2 : 3 = x : 15
Convert ratio to fraction
⅔ = x/15
Multiply both sides by 15
15 * ⅔ = 15 * x/15
15 * ⅔ = x
30/3 = x
10 = x
x = 10
Hence, the length of the shorter side must be 10 feet
Answer:
Angle θ would be about 17.1 degrees.
Step-by-step explanation:
To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².
c = √4² + 13²
Square 4 and 13 to get 16 and 169 respectively.
c = √16 + 169
Add 16 and 169 to get 185.
c = √185
Find the square root of 185 (I'll round to the nearest tenth.)
c = 13.60147 ≈ 13.6 units
To find angle β, divide AC by AB and find the inverse sine of that.
β = arcsin(13/13.6)
Divide 13 by 13.6. Round to the nearest thousandth.
β = arcsin(0.955)
β ≈ 1.2723 rad
To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.
β ≈ (1.2723 * 57.2957795)°
β ≈ 72.8974203 ≈ 72.9 degrees
Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.
Three numbers between 3.65 and 3.66 could be:
1) 3.651
2) 3.655
3) 3.657
4) 3.659
Hope this helps! :)
Answer:
B
Step-by-step explanation:
We are given the two functions:
And we want to find:
Substitute:
Rewrite:
Combine like terms:
In conclusion:
Hence, our answer is B.
