A cone with heighth and radius r has volume V = n²h. If the cone has a height of 6 in. and volume V = 8rzx² + 24rx + 187, what is its radius r in
terms of x?
O A. r= 3x + 2
OB. r= 4x2 + 12x +9
C. r= 2x + 3
OD. r= (2x + 3)(2x - 3)

Answer:

V=343in³

Step-by-step explanation:

V=6A3/2

36=6·2943/2

36=343in³

  A=6a2

V=a3

Answer:

your correct answer is 15

i just did wrong so the person below me is correct

Step-by-step explanation:

Answer:

A: 15

Step-by-step explanation:

It is asking for the hypotenuse of the triangle. To find this, use pythaogreans theorem.

A^2 + B^2 = C^2

In this case,

9*9 + 12*12 = C*C

81 + 144 = C*C

225 = C*C

Now do the square root of both sides and you get

15 = C. Therefore the missing length is 15.

Using the binomial distribution, it is found that there is a 0.16 = 16% probability of choosing a gray button, replacing it, and choosing gray again.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of two gray buttons is:

P(X = 2) = (0.4)² = 0.16.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

2. reflect parrellelogram ABCD across the x-axis and dilate the result by a scale factor of two centered at the orgigin

Step-by-step explanation:

to correctly map the parallelograms together you need to  dialate the shape, because we already know that its two times bigger

Answer:

1. $0.48

2. $0.52

3. $0.53

Step-by-step explanation:

12/ $25

24/$46

50/$94

hope this helps

Answer:

208

Step-by-step explanation:

the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)

208

Answer:

I am pretty sure it's 312ft^2

Step-by-step explanation:

If you do 12x13/2 its 78

then you would do 78 x 4

and you get 312

so its 312ft^2

Answer:

B.) 3645

Step-by-step explanation:

Answer:

A. x^2 + y^2 = 4^2

Step-by-step explanation:

The equations of a circle is x^2 + y^2 = r^2

Therefore, the equation of this circle is x^2 +y^2 = 4^2

Answer:

A

Step-by-step explanation:

Remark

The formula for a circle is

x^2 + y^2 = r^2

The number associated with x^2 and y^2 must always be 1. If it's not then you do not have a circle.

Answer

The answer to this question is x^2 + y^2 = 4^2 where r = 4 and it is squared.

I don't even know :D

Answer:

1/2

Step-by-step explanation:

Find two easy-to work with points

-3,2    and   -1,3  

slope, m = (y1-y2 ) / ( x1-x2)  

                   (2-3) / ( -3 - -1) = -1/(-2)  = 1/2  

( it does not matter which point you select as   x1 ,y1   or  x2, y2 )

The outcomes of the die and coin experiment are its sample space

There are 3 outcomes that include an even number and a tail

The sample space is given as:

  Heads Tails

1 (1, H) (1, T)

2 (2, H) (2, T)

3 (3, H) (3, T)

4 (4, H) (4, T)

5 (5, H) (5, T)

6 (6, H) (6, T)

The outcomes that a even number and a tail are:

(2, T) (4, T) and (6, T)

The count of the above outcomes is 3

Hence, there are 3 outcomes that include an even number and a tail

Read more about sample outcomes at:

https://brainly.com/question/10837034

5+(7+x)

Finding an Equivalent Expression

The associative property of addition states that you can move the terms that are inside the parentheses and still have the expression remain true. So, in the answer above, I moved 5 out of the parentheses and x into the parentheses. No matter the value of x the value of the expression will remain the same

Examples and Proof

Another example of the associative property could be (1+6)+3 = 1+(6+3). To prove this statement we can evaluate each side of the expression.

First, let's do (1+6)+3

Next, let's do 1+(6+3)

As you can see both of these expressions are the same, thus proving that the associative property works in this situation.

Answer:

6 units

Step-by-step explanation:

The questions states that the area = perimeter.

From this we can set up an equation:

[tex]x*y=2x+2y[/tex]

Since we know one of the sides is 3 we can substitue one of the variables for 3. In this case I choose [tex]y[/tex]

[tex]3*x=2x+2*3\\3x=2x+6[/tex]

Solving for x we get [tex]x=6[/tex].

That's our answer!

Answer:

18:12

divide both sides by 3

6:4

divide both sides by 2

3:2

Answer:

degree x π/180 = radian

-----------------------------------------

1) -290° × π/180 = -5.061rad

3) 970° × π/180 = 16.93rad

5) 510° × π/180 = 8.901rad

7) 210° × π/180 = 3.665rad

9) 240° × π/180 = 4.189rad

11) -945° × π/180 = -16.49rad

13) 315° × π/180 = 5.498rad

15) -520° × π/180 = -9.076rad

17) 300° × π/180 = 5.236rad

19) 555° × π/180 = 9.687rad

-------------------------------------------

i hope this helps!

Answer:105

Step-by-step explanation:

area of rectangle (b*h) (7*12)

Area of triangle 1/2 (b*h) 1/2(7*6)

Rectangle=84

Triangle=21

84+42= 105

Answer:

105

Step-by-step explanation:

Well, this figure, as you can see, is made of two figures - a triangle and a rectangle.

To find it's area we will find the areas of the triangle and the rectangle separately and then sum them. I hope you get why we do that.

So, let's start with the rectangle.

The area of the rectangle is very easy to find simply just multiply the lenghts of its two sides:

A1 = 7 * 12 = 84

Now, the triangle.

You can see that one of the smaller sides of the rectangle is equal to 7. The side in front of it is also 7. Notice that this side is also equal to one of the sides of the triangle, its base.

So from the figure we can tell that the base of the triangle is equal to 7, we are also given its height.

There is a formula we can use here to find the area. The area of a triangle is equal to its base (a) multiplied by the height(h) and divided by 2. I'll call the area of the triangle A2.

We know the height

h = 6

I hope you noticed that we also know the base

a = 7

So we just use the formula:

A2 = (6 * 7) / 2 = 42 / 2 = 21

Now that we have the areas of the two figures, A1 and A2, all we have to do is to sum them to find the area of the big one.

So, let's do it:

A = A1 + A2

A = 84 + 21 = 105

Answer:

Step-by-step explanation:

area = 1/2 x base x height

Explanation:

➡ Pythagorean Theorem: a² + b² = c²

➡ We eliminate D - So the Pythagorean theorem is used for right triangles and that equation is a² + b² = c² and answer D doesn't have anything squared.

➡ Hypotenuse is what letter in the theorem? It is Letter C!

➡ 11² + 60² = 3721

Hope this helps! :)

Answer:

19.99 (rounded)

Step-by-step explanation:

We know that the formula to solve is:

[tex]V=\pi r^{2}h[/tex].

[tex]R = \sqrt{\frac{V}{\pi h } } = \sqrt{\frac{16328}{\pi 13} = 19.99493[/tex]

Applying the distance formula, the distance from from Tia's home to Lei's home = 14.4 units.

The distance formula helps us to find the distance between two given coordinate points. It is expressed as, [tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} }[/tex].

Tia = (4, 8) = (x1, y1)

Lei = (12, 20) = (x2, y2)

Apply the distance formula to find the distance from Tia's home to Lei's home:

d = √[(12−4)² + (20−8)²]

d = √[(8)² + (12)²]

d = √(64 + 144)

d = √208

d ≈ 14.4 units

The distance from from Tia's home to Lei's home = 14.4 units.

Learn more about the distance formula on:

https://brainly.com/question/661229

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Answer:

5 feet

Step-by-step explanation:

So you know the cross-sectional area of the circle at the bottom of the cylinder is 28 square feet and you are told the volume of the cylinder is 140 cubic feet which means the height must be 5 feet as the 28 square feet must continue going up to fill the 140 cubic feet.

Answer:

68m2

Step-by-step explanation:

First you can split the shape into three different ones (as shown in my incredibly awful sketch ><)

Then you can multiply the length x width.

so 3x3 and 3x3 and 5x10

The sum of all the answers in 68 ^^

hope this helps for further problems <33

Answer:

its 3 sorry if im wrong

Step-by-step explanation:

Answer:

option C

Step-by-step explanation:

area of rectangle = length * width

12x^2 - 5x - 3 = (4x - 3) * width

12x^2 - 9x + 4x - 3 = (4x - 3)* width

3x(4x - 3) + 1(4x - 3) = (4x - 3)*width

(3x + 1)(4x - 3) / (4x - 3) = width

3x + 1 = width

Answer:

Part A: I disagree, because when shading the regions of inequalities, only the shaded area that overlaps with the other shaded area is the solution, not every single point shaded. 5x - 3y > 1 and 3x + 4y ≤ 18 have an overlapping shaded region, that is where the solutions are.

Part B: picture attached

Part C: All points located on the overlapped shaded region (the darkest part)

Step-by-step explanation:

hope this helps, good luck!

Answer:

70 peeps

Step-by-step explanation:

Cause dat da ansar

A plus B times H divided by 2 equals 70

4 + 16 x 7 / 2 = 70

Answer:

A=a+b

2h=4+16

2·7=70

Step-by-step explanation:

:') I truely tried.

Answer:

x [tex]\geq[/tex] 5 ( the last one)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The inequality of C says the amount of hours of tv that kenny can watch (x) can be exactly or anything below 5 hours

Answer:

Q: 875 R: 4

Step-by-step explanation:

If you dont like doing long division, try plugging values in usling a calculator! Estimate tht 5*8=40, and then, 5*800 must then equal 4000, which is pretty close to 4374

5*7=35, so the 5*70 must equal 350

5*4 equals 20, so when you add these values up you get...

4000+350+20...

or 4370

and, since 4374-4370 equals 4, your remainder would be 4!