Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer:
50sq cm
Step-by-step explanation:
You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.
So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.
To solve Az + 17 = -4z - b for z, we begin by combining like terms. We get:
Az + 4z = -b - 17, or z(A+4) = -(b+17).
Dividing both sides by (A+4), we get:
-(b+17)
z = --------------
A+4
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)
Answer:
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Step-by-step explanation:
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