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VLD [36.1K]
2 years ago
5

Every possible cross section of a three dimensional figure is a circle what is that figure

Mathematics
2 answers:
Korolek [52]2 years ago
5 0
A sphere. It is a perfectly circular and even shape, so all cross sections would be circles. 
Fiesta28 [93]2 years ago
4 0

Answer:

Sphere

Step-by-step explanation:

Please refer to the attachment. Sphere is the 3D figure which when intersected by any plane , it will give us the circle. In attachment we see a red sphere of radius of 1. And the grey xy plane is intersecting the sphere which giving us the horizontal circle. Similarly yz and xz plane on intersecting gives two vertical circles. It is not just xy , yz, or xz plane but any plane when intersected to sphere gives a circle.

Hence our answer is Sphere

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Find the average value of the function f(x, y, z) = 5x2z 5y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the
S_A_V [24]
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin. 

<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>

<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>

<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>

<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>


<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>

<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>

<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>

<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>

<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
3 0
2 years ago
Ebola has an Ro of 2. How<br> many third-wave cases can<br> doctors expect?
stellarik [79]

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

4 0
2 years ago
Which is the graph of the linear inequality 2x – 3y &lt; 12? On a coordinate plane, a solid straight line has a positive slope a
RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

3y=2x-12\\ \\y=\dfrac{2}{3}x-4

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

2\cdot 0-3\cdot 0=0

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0
1 year ago
Read 2 more answers
The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0
1 year ago
The following length measurements were taken by students using several different measuring devices. Find . the average of the me
marissa [1.9K]
In getting the average of all the measurement you give you need first to sum all the measurements and also make sure that you do it properly. Then divide the sum with the number of measurements. By calculating the answer is 10.288
3 0
2 years ago
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