If circle A has a radius of 4.7 cm, what is the diameter?

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

Final answer:

The largest volume among the rectangular prisms is 75 cm³, corresponding to the prism with dimensions l = 5 cm, w = 3 cm, and h = 5 cm.

Explanation:

To determine which rectangular prism has the largest volume, we must calculate the volume of each given prism. The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.

For the first prism, V = 4 cm × 5 cm × 3 cm = 60 cm³

For the second prism, V = 6 cm × 3 cm × 3 cm = 54 cm³

For the third prism, V = 2 cm × 6 cm × 6 cm = 72 cm³

For the fourth prism, V = 5 cm × 3 cm × 5 cm = 75 cm³

By comparing the volumes calculated, the prism with dimensions w = 3 cm, l = 5 cm, and h = 5 cm has the largest volume, which is 75 cm³.

Answer:The South would destroy the nation, but the North had to fight for the nation to survive.

Answer:

The answer is The south would destroy the nation so the north had to fight for the nation survival

Step-by-step explanation:

Angle 2 = 92° (They are corresponding angles)

Angle 1 + angle 2 = 180° (they are a linear pair)

Angle 1 = 180° - 92°

            = 88°

Answer:

Sorry, If this late but here's the answer. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours. The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours. A typical student in Mr. Hart’s class studies More than a typical student in Ms. Perry’s class. Good Luck!

[tex]_{Itsbrazts}[/tex]

Here's the photo...

Answer:

The mean number of hours a student in Mr. Hart’s class studies is  4.6  hours.

The mean number of hours a student in Ms. Perry’s class studies is  2.8  hours.

A typical student in Mr. Hart’s class studies more than a typical student in Ms. Perry’s class.

Step-by-step explanation:

Hope this helps you! 'v'

Answer:

[tex]A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative[/tex]  

Step-by-step explanation:

Given a function [tex]f(x)[/tex], we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "[tex]x_1[/tex]" to another "[tex]x_2[/tex]".

The rate of change of [tex]f(x)[/tex] between [tex]x_1[/tex] and [tex]x_2[/tex] can be calculated as follows:

[tex]Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)[/tex]

For:

[tex]f(x)=x^2-2x+4[/tex]

Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:

[tex][x_1,x_2]=[-4,3][/tex]

[tex]f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7[/tex]

So:

[tex]Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative[/tex]

And for:

[tex]f(x)-3x+2[/tex]

Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:

[tex][x_1,x_2]=[-4,3][/tex]

[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]

So:

[tex]Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative[/tex]

Translation:

Dada una función [tex]f(x)[/tex], llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "[tex]x_1[/tex]" a otro "[tex]x_2[/tex]".

La tasa de variación de [tex]f(x)[/tex] entre [tex]x_1[/tex] y [tex]x_2[/tex], puede ser calculada de la siguiente forma:

[tex]Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)[/tex]

Para:

[tex]f(x)=x^2-2x+4[/tex]

Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:

[tex][x_1,x_2]=[-4,3][/tex]

[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]

Entonces:

[tex]Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa[/tex]

Y para:

[tex]f(x)-3x+2[/tex]

Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:

[tex][x_1,x_2]=[-4,3][/tex]

[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]

Entonces:

[tex]Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa[/tex]

To calculate the surface area of a trapezoidal prism, find the area of each of the five faces (two trapezoids and three rectangles) and sum them up.

To find the surface area of a trapezoidal prism, we have to calculate the area of each face and then sum them up. There are two trapezoidal faces and three rectangular faces in a trapezoidal prism.

For the trapezoidal face, the formula to calculate the area is 0.5*(a+b)*h where 'a' and 'b' are the lengths of the parallel bases and 'h' is the height of the trapezoid. For the rectangular faces, the area is simply length times width.

After finding these, add them all up. This sum gives us the total surface area of the trapezoidal prism.

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Answer:

1

Step-by-step explanation:

The radius is half the size of the diameter.

2 / 2 = 1

Answer:

2400

Step-by-step explanation:

10 x 10 (5+7) x 2

(5+7) = 12

10 x 10 (12) x 2

10x 10 (12) = 1200

1200 x 2 = 2400

Answer:

40 pencil cases

Step-by-step explanation:

To find out how many $2.50 pencil cases you can buy with $100, you need to divide. Dividing the amount of money you have by the cost of the item will get you the amount of items you can buy. 100 divided by 2.50 is 40. So, you can get 40 cases.

Answer:

8pi

Step-by-step explanation:

The formula for circumference is the radius multiplied by [tex]2\pi[/tex]. In this case, [tex]4\cdot 2\pi=8\pi[/tex]. Hope this helps!

Answer:

(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2

Step-by-step explanation:

I did some research and used a calculator.

Plz click the Thanks button!

<Jayla>

Answer:

multiplication

Step-by-step explanation:

The * sign is multiplication. When you have no multiplication sign on your keyboard, you use *. Hope this helps! If you are still confused please comment.

Answer:

The answer is -3

Just solved it

Answer:

its c.3

Step-by-step explanation:

Answer:

104 liters

Step-by-step explanation:

you just round up

To create a 4-member committee of seniors, Ms. Bell can do so in 715 different ways.

To find the number of different ways Ms. Bell can create a 4-member committee of seniors, we use the combination formula. The formula for combinations is C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items chosen. In this case, n = 13 (number of seniors) and r = 4 (number of members in the committee). Plugging in these values, we calculate C(13, 4) = 13! / (4!(13-4)!) = (13*12*11*10) / (4*3*2*1) = 13 * 11 * 5 = 715.

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Answer:

1695.6

Step-by-step explanation:

Answer:

(x+5) (x+3)

Step-by-step explanation:

x² + 8x + 15

What two numbers multiply to 15 and add to 8

5*3 = 15

5+3 =8

(x+5) (x+3)

Answer:

8/25

Step-by-step explanation:

mutiply the number of how many times the exponet says

Answer: 8/25 (Option A)

I just did the assignment.

The solution of the given equation will be 16.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

[tex]\rm \dfrac{3}{2g + 8} = \dfrac{g + 2}{g^2 - 16}[/tex]

Then the equation can be written as

[tex]\rm \dfrac{3}{2(g + 4)} = \dfrac{g + 2}{g^2 - 4^}\\\\\rm \dfrac{3}{2(g+4)} = \dfrac{g + 2}{(g+4)(g-4)}\\\\[/tex]

On further solving, we have

      3/2 = (g + 2) / (g – 4)

3g – 12 = 2g + 4

         g = 16

More about the solution of the equation link is given below.

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Answer:

A. g = -4

Step-by-step explanation:

correct on egg

Answer:

[tex]A) t^4-1\\B)-2t^2+3t+4\\C)4t-7[/tex]

Step-by-step explanation:

When a polynomial is in standard form, it means that the terms are ordered from highest exponent to lowest exponent.

In the given options, A,B and C are ordered from the highest to the lowest and thus are in standard form.

The correct options are A,B and C.

The polynomials in standard form are:

- A [tex]\( t^4 - 1 \)[/tex]

- B [tex]\( -2t^2 + 3t + 4 \)[/tex]

- C [tex]\( 4t - 7 \)[/tex]

A polynomial is in standard form if its terms are written in descending order of their exponents. Let's evaluate each option:

- Option A: [tex]\( t^4 - 1 \)[/tex]

 - This polynomial is written in descending order of its exponents: [tex]\( t^4 \)[/tex](degree 4) and [tex]\(-1\)[/tex] (degree 0).

- Option B: [tex]\(-2t^2 + 3t + 4\)[/tex]

 - This polynomial is written in descending order of its exponents: [tex]\(-2t^2\)[/tex] (degree 2), [tex]\(3t\)[/tex] (degree 1), and [tex]\(4\)[/tex] (degree 0).

- Option C: [tex]\(4t - 7\)[/tex]

 - This polynomial is written in descending order of its exponents: [tex]\(4t\)[/tex] (degree 1) and [tex]\(-7\)[/tex] (degree 0).

-Option D: None of the above

 - Since options A, B, and C are already in standard form, option D is incorrect.

Complete question : Which polynomials are in standard form? Choose all answers that apply:

A t⁴ -1

B -2t² +3t+4

c 4t-7

D None of the above

Answer:

C. y = 600x + 2200

Step-by-step explanation:

2800-2200 = 600 = slope

2200 (y value) has the x value 0, so 2200 is the y-inercept

hope this helps :)

Answer:

I think it's 100°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given two complex number Z1=3cispi and z2=5cis(pi/2)

In polar form;

z1 = [tex]3(cos[/tex][tex]\pi+isin\pi)[/tex]

z1 = 3(-1+i0)

z1 = -3+0i

Z2 = [tex]5(cos\frac{\pi}{2} +isin\frac{\pi}{2} )[/tex]

Z2 = 5(0+i)

Z2 = 0+5i

Z1*Z2 =  (-3+0i)(0+5i)

Z1*Z2 = 0 - 15i +0i + 0i²

Z1*Z2 = 0-15i

comparing 0-15i with a + bi;

a = 0 and b = -15

Answer:

A = 0, B = -15

Step-by-step explanation:

Given two complex number Z1=3cispi and z2=5cis(pi/2)

In polar form;

z1 =

z1 = 3(-1+i0)

z1 = -3+0i

Z2 =

Z2 = 5(0+i)

Z2 = 0+5i

Z1*Z2 =  (-3+0i)(0+5i)

Z1*Z2 = 0 - 15i +0i + 0i²

Z1*Z2 = 0-15i

comparing 0-15i with a + bi;

a = 0 and b = -15

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

To find how many times greater 3 x [tex]10^8[/tex] is than 6 x [tex]10^5[/tex], divide 3 x [tex]10^8[/tex] by 6 x [tex]10^5[/tex], resulting in 500. Thus, 3 x [tex]10^8[/tex] is 500 times greater than  6 x [tex]10^5[/tex]

The question asks how many times greater is 3 x [tex]10^8[/tex] than 6 x [tex]10^5[/tex]. To compare the two values, we divide the larger number by the smaller number:
( 3 x [tex]10^8[/tex] ) / (6 x [tex]10^5[/tex]) = (3/6) x ([tex]10^8/10^5[/tex]) = 0.5 x [tex]10^3[/tex]

Since [tex]10^3[/tex] is equal to 1000, multiplying 0.5 x 1000 gives 500. Therefore, 3 x [tex]10^8[/tex] is 500 times greater than 6 x [tex]10^5[/tex].

Answer:

the answer is d

Step-by-step explanation:

bc i took the question and it said it was d

Answer:

D is your answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1 3/8 + 1 2/6 is equal to 2 17/24ths round up and you get 3 pizzas. 5- 3 is 2.

Answer:

see below

Step-by-step explanation:

<X

Sin X = opp side/ hypotenuse

         = 28/35

         =4/5

Answer:

1) using angle Z

2) sin(Z) = opposite/hypotenuse

sin(Z) = 21/35 = 3/5

3) cos(X) = adjacent/hypotenuse

cos(X) = 21/35 = 3/5

Answer:

2 hours each lawn

Step-by-step explanation:

simply divide 16 by 8 and that will give you 2 meaning 2 hours each 1 lawn

Answer:

B. (4, -8)

Step-by-step explanation:

Answer:

(4,-8)

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

Given:

(x - 4)² + (y + 8)² = 64

-h = -4

h = 4

-k = +8

k = -8

(h,k) = (4,-8)