9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
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<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
Answer:
0.3334 ft
Step-by-step explanation:
Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.
- Given height and volume: r = √(V / (π * h)),
- Given height and lateral area: r = A_l / (2 * π * h),
- Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,
- Given height and diagonal: r = √(h² + d²) / 2,
- Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),
- Given volume and lateral area: r = 2 * V / A_l,
- Given base area: r = √(A_b / (2 * π)),
- Given lateral area and total area: r = √((A - A_l) / (2 * π)).
Answer: are they asking for the answer of the dotted line? If so, it might be 5 since it's the dotted line is opposing the side labeled 5cm.
Hope this helps:)
Step-by-step explanation:
Hi there!
First, you need to find the quotient of 4 and 13, obviously.
4/13 is equal to roughly 0.308.
Those grouping symbols around it tell you that you need to find the absolute value.
Absolute value is how far away a number is from 0 on a number line. 3, for example has a absolute value of 3, and -6 has an absolute value of 6.
So, the absolute value of 4/13 is about 0.308.
Hope this helps. :)
-Spagoot
