a. θ = 36. 9°
b. θ = 114. 2°
<h3>How to determine the value of theta</h3>
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
Learn more about trigonometric identities here:
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Answer:
The center is at ( (-1, -2) and the radius is 5.
Step-by-step explanation:
X^2 + 2X + Y^2 + 4Y = 20
Complete the square on the x and y terms.
(x + 1)^2 -1 + (y + 2)^2 - 4 = 20
(x + 1)^2 + ( y + 2)^2 = 25 Comparing this with the standard form:
(x - h)^2 + (y - k)^2 = r^2
- the center is at ( (-1, -2) and thr radius is 5.
Answer:
44.24 cm squared
Step-by-step explanation:
3.14*4^2=50.24
3*2=6
50.24-6=44.24
hope this helps
Answer:
its 6
Step-by-step explanation:
