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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If 1 of 25 is 101.6 ( 2540/25)
Then 23 is 2336.8 (23*101.6)
The Mississippi river is 2336.8 miles long
If you have a slope of -4 then it would be -4/1 because rise/run. If it were -4/-1 then the slope would be 4.
To simplify the equation, Erika must isolate the x. This means to get the x by itself. In order to do so, Erika needs to divide 50x by fifty to undo the multiplication. What is done on on side, must be done on the other by the Division Property of Equality. Therefore, Erika must divide seventeen by fifty as well. The answer Erika should end up with is x=0.34
First day : 30+20y
Second day : 85 + 17y
Total: 30 + 20y + 85 + 17y This is the not simplified version.
37y+115 This is the simplified version.
