Why would i use square root to solve this quadratic equation?
1 answer:
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Answer:
The volume of new sphere is 3.375 times greater than the volume of old sphere
Step-by-step explanation:
Let r be the radius of old sphere. This old sphere is dilated by a scale factor of 1.5 to create a new sphere, so the radius of new sphere is R=1.5r.
The volume of the sphere can be calculated using formula
Hence,
Answer:
Length of the given arc AB = 7.33 in.
Step-by-step explanation:
Formula to calculate the arc length is,
Arc length =
Where θ is the measure of central angle subtended by the arc.
And 'r' = radius of the circle
By substituting the values given in the formula,
Length of arc AB =
=
=
= 7.33 in.
Therefore, length of the given arc AB = 7.33 in.
ANSWER
EXPLANATION
The area of the original rectangle is 72 in².
If the length and the width of the rectangle are changed by a scale factor of 3.5.
Then the area will change by
To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.
This implies that,the area of the new rectangle is
Therefore the area of the new rectangle is 882 square inches.