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ruslelena [56]
3 years ago
7

A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inche

s. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied
Mathematics
1 answer:
german3 years ago
3 0

Answer:

134.041\ \text{in}^3

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3

Unoccupied volume in the container is 134.041\ \text{in}^3.

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A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V
Alexus [3.1K]

Answer:

<h3>2642km</h3>

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

4 0
3 years ago
(a) suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine. what is the probability that at least
murzikaleks [220]

The probability that at least one child among the 3 will get influenza is 0.07.

<h3>Define probability.</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given,

3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine

Probability that at least one child among the 3 will get influenza

P(at least one child among the 3 will get influenza)

=  1 - P(no one have influenza)

= 1 - (1- 0.0.378)(1-0.017)²

= 1 - 0.93

= 0.07

The probability that at least one child among the 3 will get influenza is 0.07.

To learn more about probability, visit:

brainly.com/question/11234923

#SPJ4

7 0
1 year ago
In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
lutik1710 [3]

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

7 0
3 years ago
Use the function rule z = 2x + 3.
musickatia [10]

Step-by-step explanation:

Z = 2x + 3

Putting value of x

Z = 2( - 16.7) + 3

Z = - 33.4 + 3

Z= - 30.4

Option B is the correct answer

3 0
3 years ago
HELP PLEASEEEE !!!!!!!!!!! Will mark BRIANLIEST !!!!!
Ray Of Light [21]

Answer:

<QRS= (10.x - 1) = (10.6 - 1) = 59°

Step-by-step explanation:

the triangle is not accurate but drawing one is truly useful in calculating. Besides, I don't know how it is called in English but it is something about the exterior angles (maybe)

7 0
3 years ago
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