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The diagram shows a cone of the height of 8 units and a base radius of 6 units.

What is its volume?

#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°

triangle = 180° 

alternating interior angles are the same (#6 & #3 and #5 and #1) 

#3 and #7 should equal 180° 

#1 and #4 should also equal 180° 

#6 and #7 should equal 180° 

#4 and #5 should equal 180°

Answer:

378 in^2

Step-by-step explanation:

This is the sum of the area of the 6 rectangles

That is:

8*15 + 3*15 + 3*8 + 8*15 + 3*8 + 3*15

= 378 in^2

Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

Answer:

16.4 feet

Step-by-step explanation:

Area of a rectangle: length * width = area

12*w=196.8

w=196.8/12

w=16.4 feet

The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.

We are told that;

Current cost of Green rug = $54.50

Current cost of White rug = $31.85

Now the store wants to mark down the green rug by 12%. Thus;

New price of green rug = (100% - 12%) × 54.5

New price of green rug = $47.96

Now the store wants to mark up the white rug by 16%. Thus;

New price of white rug = (100% + 16%) × 31.85

New price of green rug = $36.95

Difference in New prices = $47.96 - $36.95

Difference in New prices = $11.01

Read more about Mark up at; https://brainly.com/question/1153322

Answer:  r = 11.3

Step-by-step explanation:

In order to find the radius given circumfrence we use the following formula

[tex]r=\frac{C}{2*\pi }[/tex]

[tex]r=\frac{71}{2*3.14 }[/tex]

r = 11.3

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]

Answer: 9, 9x, 18x

Step-by-step explanation:

Hope it helps :D

The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.

Consider the following equation,

[tex]\dfrac{5}{3}v +4+\dfrac{1}{3}v=8[/tex]

To solve this equation, first we have to arrange the similar terms one side of the equation as,

[tex]\dfrac{5}{3}v+\dfrac{1}{3}v +4=8[/tex]

Solve it further by taking LCM,

[tex]\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\[/tex]

Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

c on edge

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

use

P- parenthesis

E- Exponents

M-multiplication

D-Division

A- addition

S- subtraction

NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.

This means that that we do it from left yo right

4×16+3-1 --> 64+3-1 --> 67-1 = 66

Answer:4^6

Step-by-step explanation:

The number of times a term is multiplied is the exponent you use.

In this problem

4 is multiplied 6 times.

Therefore: 4*4*4*4*4*4=4^6

Answer:

9Pi  square units

Step-by-step explanation:

Area = Pi x Radius^2

Diameter = Circumference / Pi

                 = 6Pi / Pi

                 = 6

Radius = Diameter / 2

             = 6 / 2

             = 3

Area = Pi x 3^2

Hope this helps!!

Answer:

the first one will be B) x^2-4x+4

the sencond one will be A) x^2-16

the third one will be C) x^2+x-2

the fourth one will be D) -2x^3+4x^2+16x

Step-by-step explanation:

hope this helps now i gotta really go :)

Answer:

A. 167.4

B. I don't know but I hope this helps :)

Step-by-step explanation:

the formula for volume of a funnel is:

V= 1/3 pi r^2 h

if we plug in the given values we are left with:

V= 1/3 (pi) 4^2 (10)

using 3.14 for pi, we get the answer:

V= 167.4

Answer:

The correct answer would be option 2; Regular Hexagon

Hope this helps!

a) 24.92

b) 65.616

c) 66.43

d) 6.13

e) 25.0862

f) 4.95

Answer:

arc UH = 67°

Step-by-step explanation:

the measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , then

[tex]\frac{1}{2}[/tex] ( BE + UH ) = ∠ BKE , that is

[tex]\frac{1}{2}[/tex] (119 + UH ) = 93° ( multiply both sides by 2 to clear the fraction )

119° + UH = 186° ( subtract 119° from both sides )

UH = 67°

Answer:

Step-by-step explanation:

∠HKU = ∠BKE   {Vertically opposite angles}

∠HKU = 93°

Angles fromed by insecting chords equals half the sum of intercepting arcs.

      [tex]\sf \angle HKU =\dfrac{1}{2}(arc \ HU + arc \ BE) \\\\ 93^ \circ = \dfrac{1}{2}(arc \ HU + 119)[/tex]

   93 *2 = arc HU + 119

   186    = arc HU + 119

186 - 119 = arc HU

arc HU = 67°

Answer: 50%

Step-by-step explanation:

Because 2 of four is half, that that the probability is a 50% chance.

Answer:

1/2

Step-by-step explanation:

Think of this like a pizza or pie:

If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.

Because this is a fraction and it can be simplified, it would be 1/2.

So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.

Answer: 3.3

Step-by-step explanation: Find the calculation in the picture

The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.

The equation for the expression is given below.

3x² + 4x = 6

3x² + 4x - 6 = 0

we know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Then we have

[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]

More about the factorization link is given below.

https://brainly.com/question/6810544

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Function f(x) is defined by: f(x) = 12x.

Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]

This means that option 4 is correct.

More can be learned about domain and range of a function at https://brainly.com/question/27274752

Answer:

A

Step-by-step explanation:

A is the only one with (4,0) (1,-1) (0,0) and (-2,5)

Answer:

x=㏒3(2189)

Step-by-step explanation:

Answer:

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

Let x = years

Let y = investment value

Use (2, 692) and (4, 952) to find a and b of the exponential equation:

[tex]ab^2=692[/tex]

[tex]ab^4=952[/tex]

[tex]\implies \dfrac{ab^4}{ab^2}=\dfrac{952}{692}[/tex]

[tex]\implies b^2=\dfrac{238}{173}[/tex]

[tex]\implies b=\sqrt{\dfrac{238}{173}}=1.17\:\textsf{(nearest hundredth)}[/tex]

[tex]\implies ab^2=a\left(\dfrac{238}{173}\right)=692[/tex]

[tex]\implies a=\left(\dfrac{59858}{119}\right)=503.01\:\textsf{(nearest hundredth)}[/tex]

Therefore, the exponential equation is:

[tex]y=503.01(1.17)^x[/tex]

18 years after the initial investment is when [tex]x=18[/tex]:

[tex]\implies 503.01(1.17)^{18}=8490[/tex]

Therefore, the amount closest to the value of the investment 18 years after the initial investment is $8490

(If you use the exact values for a and b rather than the rounded values, the amount is $8879)

A.2

3^2 = 9

(any number greater than one because 3^1 = 3, this is not greater than 3)

B. 0

3^0 = 1

(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)

Hope this helps!

Answer:

m = -1

the line goes down in a straight line from the starting point

Answer: -1

Step-by-step explanation:

Slope formula y2-y1/x2-x1. -9-(-4)/3-(-2). -5/5= -1

Answer:
The answer is C. [tex]y = \frac{1}{12}(x+2)^{2}+2[/tex]

Answer:

Vol = 252 cubic ft

Step-by-step explanation:

Consider the bottom and top of the shape separately. Calculate the volumes and add them together.

Bottom of the shape is a prism. Volume of a prism:

V =

Base Area•Height

The base is a triangle. Use Area of a triangle formula:

A = 1/2b•h

A = 1/2(7)(6)

A = 21

Use 21 for Base Area for both parts of the volume calculation.

Vol of prism, continued:

V = 21•9

V = 189

Volume of a pyramid (top)

V = 1/3•BaseArea•Ht

=1/3(21)(9)

=63

Total Volume=

189 + 63

= 252 cubic ft

Step-by-step explanation:

what is the problem for you ?

to solve an equation ?

or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?

if you need any additional information, please let me know.

I am just solving the equation now :

2/3 + x = 4

x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3

Answer:

Step-by-step explanation:

x = 4 - 2/3

x = 3 3/3 - 2/3

x = 3 1/3