Answer:
sinθ = 12/15 -> 4/5
cosθ = 9/15 -> 3/5
tanθ = 12/9 -> 4/3
cscθ = 15/12 -> 5/4
secθ = 15/9 -> 5/3
cotθ = 9/12 -> 3/4
Step-by-step explanation:
The theta is where you would use to identify the numbers for the trig functions. The adjacent side is the one closest to the theta (but not the diagonal line, that is the hypotenuse), and the opposite line is the line next to the adjacent line.
For the first three trig functions, would use the method Soh Cah Toa.
Sin = opp/hypotenus, Cosine = adjacent/hypotenuse, and Tangent = opposite/adjacent. Then, there is cosecant(csc) = hyp/opp, secant = hyp/adj, and cotangent = adj/opp.
Answer:
6^(7/3)
Step-by-step explanation:
Given 6^2 * cubed_root(6).
The cube root is also equal to 6^1/3
[Multiply the terms, add the powers]
6^2 * 6^(1/3) = 6^(2 + 1/3) = 6^(7/3)
Use the proportion 8/64 = 12/y. Cross multiply to get 8y = 768. Divide both sides by 8 to get y=96
Answer:
36 (Fill 3 in the blank)
Step-by-step explanation:
Given:
Volume of a cylinder = 324 π
Height = 9 cm
The formula to find the volume of a cylinder = Base area * height.
Base is a circle. So the area of a circle = πr^2
Volume of the cylindrical pillar = πr^2 h
324 π = πr^2 . 9
πr^2 = 324 π /9
πr^2 = 36 π
The area of the base = 36 π
Thank you.
Well a clock has twelve hours that make up a full circle, or 360 degrees, so you divide 12 by 360 then multiply by the degree, which in this case is 81.81 and that's the number of hours. (You figure out the minutes by looking at the decimal)
