Answer:
the length of the apothem is 8, option B
Step-by-step explanation:
given:
a regular hexagon with side length 12 and radius 10.
find;
the length of the apothem
referring to the attached image,
to get the length of the apothem, use the Pythagorean theorem.
a² + b² = c²
let a = 6, b = apothem, c = 10
plugin values into the formula
6² + b² = 10²
b² = 10² - 6²
b =
b =
b = 8
therefore,
the length of the apothem is 8, option B
9514 1404 393
Answer:
5x +y = 16
Step-by-step explanation:
Given a point and slope, it often works well to start with the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Your point and slope make this ...
y -6 = -5(x -2)
y -6 = -5x +10 . . . . . . eliminate parentheses
5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation
Answer:
12.04
Step-by-step explanation:
Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,
We already have a and b which are 8 and 9 so we plug them in.
64 + 81 = c^2
145 = c^2
c = 12.04 rounded to the nearest hundredth.
<em>Thus,</em>
<em>the unknown side is about 12.04.</em>
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<em>Hope this helps :)</em>