Answer:
m∠I = 58.4°
Step-by-step explanation:
cos = adjacent side/hypotenuse
It is always helpful to have a picture. In your case KI is adjacent to ∠I and IJ is the hypotenuse.
So cos I = KI/IJ = 4.5/8.6
arccos (4.5/8.6) = m∠I
m∠I = 58.4°
It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems. OK?
Answer:
x ≈ 7.2
Step-by-step explanation:
Based o. The secant-tangent theorem, we would have the following:
x² = (9 + 4) * 4
x² = 13 * 4
x² = 52
x = √52
x ≈ 7.2
Your answer is C because it says the least value the variable k can be is 12 so, it can be 12 and less. So 12 is included in the variables k could be.
Hope that helps you understand. :3
Answer:
D. 2
Step-by-step explanation:
soh cah toa rule
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
csc is 1/sin which is hypotenuse over opposite
if csc is -√5/2 then
hypotenuse is -√5
opposite is 2
3rd quadrant on a graph is bottom left
both x and y values are negative
hypotenuse means its a triangle
pythagorean theorem
a^2 + b^2 = c^2
a^2 + 2^2 = (-√5)^2
a^2 + 4 = 5
a = 1 = adjacent
tangent equals opposite over adjacent
tan is 2 / 1 which is 2
third quadrant means it's still positive
because tan is positive in quadrant 3
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153.86 is the answer :) you’re welcome.