3 years ago

Can someone explain this to me please

1 answer:

6 0

Sin of an angle is opposite leg divided by hypotenuse.

sin B= 12 / 13

tan of an angle is opposite leg divided by adjacent leg

tan B= 12 / 5

cos of an angle is adjacent leg divided by hypotenuse

cos B= 5 / 13

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1.a sphere with a radius of three units

By definition, the volume of a sphere is:
$V = ( \frac{4}{3} ) (\pi) (r ^ 3)
$
Substituting values we have:
$V=(\frac{4}{3})(\pi)(3^3)$
Rewriting we have:
$V = (4) (\pi) (3 ^ 2)

V = (4) (\pi) (9)

V = 36\pi$

2.a cone with a diameter of twelve units and a height of three units

By definition, the volume of a cone is given by:
$V = \frac{1}{3} (\pi) (r ^ 2) (h)
$
Substituting values we have:
$V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3)
$
Rewriting we have:
$V = (\pi) (6 ^ 2)

V = 36\pi$