Apothem is the height of a triangel formed by two consecutive vertices with the center. the are of this triangle = 1/2 s 8 = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s

5 0

2 years ago

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Which sets of coordinate pairs lie on the line created by the equation 2x-2=y?

Agata [3.3K]

X intercept=(1,0)
Y intercept=(0,-2)
You get x by substituting 0 for y and you get y by substituting 0 for x therefore to find y coordinates,
2(0)-2=y
0-2=y
-2=y so (0,-2)
And to find x coordinates,
2x-2=0
2x=2
2x/2=2/2
X=1 so (1, 0)

7 0

3 years ago

Help find the missing lengths round to nearest tenth

Mama L [17]

Answer:

Step-by-step explanation:

Theta is 21 degrees

x is the adjacent side
8 is the opposite side
y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

$tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84$

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

$sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32$

6 0

2 years ago