Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Answer:
89⁷/₈ in
Step-by-step explanation:
The perimeter of a shape can be found by adding up the side lengths.
So, we have to find 20⁹/₁₆ + 23³/₈ + 21⁵/₁₆ + 24⁵/₈
Common denominator (16): 20⁹/₁₆ + 23⁶/₁₆ + 21⁵/₁₆ + 24¹⁰/₁₆
Add fractions: ⁹/₁₆ + ⁶/₁₆ + ⁵/₁₆ + ¹⁰/₁₆ = ³⁰/₁₆
Simplify: ³⁰/₁₆ = ¹⁵/₈ = 1⁷/₈
Add whole numbers: 1⁷/₈ + 20 + 23 + 21 + 24 = 89⁷/₈ in
Answer:
this is the answer r≈19.42in
because you radius with a circumference of 122in
and that's your answer
Step-by-step explanation:
hope it works
Answer:
A). 50 penny
B) This type of battery is cost effective.
Step-by-step explanation:
A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound
Since 1 pound = 100 penny
So 0.499 pound = 100×0.499 = 50 penny
B). A pack of 6 batteries of the same type costs 2.79 pounds
So one battery will cost = 2.79/6 = 0.465 pound or 47 penny
Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.
Answer:
12m
Step-by-step explanation
If the height of the ball after x seconds be modelled by the equation
h(x)=−(x−2)² +16
The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0
To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;
h(0) = -(-0-2)²+16.
h(0) = -(-2)²+16
h(0) = -4+16
h(0) = 12
The height of the ball at the time the ball is thrown is 12m
