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natima [27]
2 years ago
5

In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

<h3>What is a cylinder?</h3>

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

  • Diameter d = 8in
  • Radius r = d/2 = 8in/2 = 4in
  • Height = h
  • Volume of the cylinder V = ?

V = π × r² × h

V = π × (4)² × h

V = π4²h

Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

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Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 stu
coldgirl [10]
The correct answer would be option D.
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

The population represents all of the students in the school. Apart from his science class there can be students in arts class, music class, literature class and so on. He used convenience sampling by just surveying the students of his science class. The students in science class are those who are interested in science and related topics so these students will be more inclined towards watching a science program. Thus the survey of Johnny does not yield valid result and his inference is not valid.

Thus, option D is the correct answer.
8 0
2 years ago
If RU = TU = 56 and RS = 87, what is ST?
Natasha_Volkova [10]

Answer:

If RU = TU = 56 and RS = 87, what is ST?

112

6 0
2 years ago
Read 2 more answers
An arc has a central angle of 1.8 radians and a radius of 20
Nutka1998 [239]

Answer:

a) <em>Arc  length (l) = 36 inches</em>

b)

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

<u><em>Step(i):</em></u>-

An arc has a central angle of 1.8 radians and a radius of 20  inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

<em> Arc  length (l) = r θ </em>

<em>                  l = 20 × 1.8 radians</em>

<em>               l  = 36</em>

The length of arc = 36 inches

b)

<em>we will convert radians to degree</em>

<em> 1.8 × 180° / π =  324° / π ≅ 103.18°</em>

The nearest angle in degrees θ = 103.18°

                           

3 0
3 years ago
If I turned 9 on November 9th, 2015, exactly how old am I now? (Oct 16th, 2021)
inysia [295]

The answer to this is quite simple my friend.

So if you were 9, purely turning on November 9th of 2015 at a undisclosed time, you would've been born in November of 2006. Currently, now of October 16, 2021, you would be:

Add:

4 + 10 + 1 = 15

So you would be 15 years old.

Hope this helps, currently it's 10/17/2021 for me and 1:56 am (EST).

Have a nice morning, night, dusk etc.

-ROR

8 0
2 years ago
Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
1 year ago
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