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sdas [7]
3 years ago
9

Solve: 48y^5=27y^3 please solve:))))))))

Mathematics
2 answers:
miss Akunina [59]3 years ago
4 0
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

y=0,−3/4,3/4
N76 [4]3 years ago
3 0

48y^5=27y^3

subtract 27 y^3 from each side

48y^5-27y^3=0

factor out 3y^3

3y^3(16y^2 -9)=0

factor

3y^3 (4y-3) (4y+3) =0

using the zero product property

3y^3 =0  4y-3 =0  4y+3 =0

y^3=0      4y=3      4y = -3

y=0  y = 3/4    y = -3/4

Answer:   y =  -3/4, 0,  3/4

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A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?
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Answer:  59.690260418206

The result is approximate. Round that value however you need to.

===========================================================

Explanation:

For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.

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C = 2*pi*142.5

C = 895.353906273091

That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.

That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.

In other words, we want 24/360 = 1/15 of the full perimeter

(1/15)*895.353906273091 = 59.690260418206

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