The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
<h3>Volume of composite object</h3>
The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
<u>For the outer sphere:</u>
V = 4/3π(20)³
<u>For the inner sphere:</u>
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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Answer:
the answer is 4
Step-by-step explanation:
i added and subtracted and got 4
The perimeter of the rectangle based on the factors given is 46.
<h3>How to calculate the perimeter?</h3>
The area of the rectangle is given as (x² + 13x - 90). This will be:
= (x² + 13x - 90)
= x² + 18x - 5x - 90
= x(x + 18) - 5(x + 18)
= (x - 5)(x + 18)
The sides of the rectangle are 5 and 18. The perimeter will be:
= 2(l + w)
= 2(5 + 18)
= 46
The area of the rectangle is given as (x² + 24x - 81.
= (x² + 24x - 81)
= x² + 27x - 3x - 81
= x(x + 27) - 3(x + 27)
= (x - 3)(x + 27)
The sides are 3 and 27. The perimeter will be:
= 2(l + w)
= 2(27 + 3)
= 60
= (x + 1)² + 3(x + 1) + 2
= (x + 1)(x + 1) + 3x + 3 + 2
= x² + x + x + 1 + 3x + 5
= x² + 5x + 6
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Answer:
Slope=2
Step-by-step explanation:
Slope=rise/run
We can start at 2, 3 (you can start anywhere on the line)
Then go to 3, 5 (you can end anywhere on the line)
Rise=2
Run=1
2/1=2
Slope is 2. The uses up there were examples. It doesn't have to be the exact points.
When you have to divide a fraction, you have to invert the second fraction (4/7 becomes 7/4), and you then multiply the two fractions.
=2/5 ÷ 4/7
=2/5 * 7/4
Multiply the numerators on top
Multiply the denominators on bottom
=(2*7)/(5*4)
=14/20
Simplify by dividing 2 into top & bottom
=7/10
Hope this helps!! :)
