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If the number of the edges of the polyhedron is 14 and the vertices are 9. Then the number of the faces of the polyhedron is 7.

A polyhedron is a solid made composed of polygons in three dimensions. It has vertices, flat faces, and straight edges.

We know the Euler's formula

F + V - E = 2,

where, F = number of faces, V = number of vertices, and E = number of edges

Edges: 14

Vertices: 9

F + 9 - 14 = 2

            F = 14 + 2 - 9

            F = 16 - 9

            F = 7

Then the number of the faces of the polyhedron is 7.

More about the polyhedron link is given below.

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Answer:

Formula for arc length is;

[tex]\frac{\theta}{360}*2\pi r\\[/tex]

Step-by-step explanation:

[tex]\frac{\theta}{360}*2\pi r\\[/tex]

[tex]\frac{210}{360}*2\pi *11yd[/tex]

so arc length is;

[tex]\frac{77\pi }{6}yd[/tex]

Answer:

A = 24

Step-by-step explanation:

L * w = A

12 * 2 = 24

A = 24

Answer:

54

Step-by-step explanation:

If 5 students went in cars then 216 students were in the buses (221-5=216)

There were four buses so divide 216 by 5 which is 54.

So there were 54 students in each bus

Answer:

54

Step-by-step explanation:

If you have 221 students going to the zoo and 5 that went to the zoo in cars you only need to account for the 216 travelling by bus. So you subtract 5 from 221 and divide what you have left over (216) by 4 for the 4 buses you're using.

216/4= 54

Answer: (not sure)

right

median

range the iqr

The number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is; 495 ways.

We want to find the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack.

This is a Combination Problem which follows the formula;

nCr = n!/(r!(n - r)!

12C8 = 12!/(8!(12 - 8)!

Solving this gives;

12C8 = 495 ways

Thus, the number of ways that a cook can arrange 8 of 12 spice jars on a spice rack is 495 ways.

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Answer:

The correct answer is: 19,958,400.

Step-by-step explanation:

I hope this helps! :)

Answer:

4th option

Step-by-step explanation:

Bring the negative radical on the left to the other side to make it positive.

Square both sides.

Answer:

y = -7

Step-by-step explanation:

2y + 7 = -7

Subtract 7 from both sides.

2y + 7 - 7 = -7 - 7

2y = -14

Divide both sides by 2.

2y/2 = -14/2

y = -7

Answer:

[tex]\huge\underline{Answer - }[/tex]

[tex]\bold{8 = - x + 10} \\ \\ \bold{\implies \: - x = 8 - 10} \\ \\ \bold{\implies \: \cancel - x = \cancel - 2 }\\ \\ \bold{\implies x\: = 2}[/tex]

hence , the given statement is true !

hope helpful ~

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
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Answer:

The volume of c. figure is equal to 90 cm³

Step-by-step explanation:

These are the cuboids

The volume of a cuboid = l×b×h

A. 2×6×5

=> 60 cm³

B. 8×2×4

=> 64 cm³

C. 5×6×3

=> 90 cm³

D. 3×7×2

=> 42 cm ³

so, the volume of c. cuboid is equal to 90 cm ³

Answer:

36 units

Step-by-step explanation:

Break it into 2 right triangles with legs  6 and 8    then the hypot = 10

8 +8 + 10 + 10 =36

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

the amount of profit when there are 0 visitors

Answer:

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

Slant height of cone

Surface Area of Conical Portion

Total Surface Area :

Volume

Hope it helps.

If you have any query, feel free to ask.

Answer:

Step-by-step explanation:

7x+103=180

180-103=77

77=7x

77/7=x        x=11

<W: 55-23=32

<v: 58

<x:90

Answer:

180 students speak English

Step-by-step explanation:

320÷16=20

20×9=180

Answer:

c)  9

Step-by-step explanation:

[tex]\textsf{Surface area of a cylinder}=2\pi r^2+2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substitute given values into the equation to find the surface area:

[tex]\begin{aligned}\implies \textsf{Surface area} & =2\pi (15)^2+2\pi (15)(48)\\ & =1890 \pi\: \sf in^2\end{aligned}[/tex]

To calculate the number of cans of paint to be bought, divide the surface area by the area one can of paint will cover:

[tex]\implies \dfrac{1890 \pi}{720}=8.246680716...[/tex]

We need to round this number up, as rounding down will mean we will not have quite enough paint to cover the surface area of the cylinder.

Therefore, the numnber of cans of paint that must be bought to completely cover the tank with one coat of paint is 9.

Answer:

It should somewhat look like the graph below...

Hope it helps!

Answer:

[tex]y=-5(x+2)-1[/tex]

[tex]y=-5(x+3)+4[/tex]

Step-by-step explanation:

Two points on the line are (-3, 4) and (-2, -1)

Therefore:

[tex]\textsf{let}\:(x_1,y_1)=(-3,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-2,-1)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

Substituting point (-3, 4) in the point-slope equation:

[tex]\implies y-4=-5(x-(-3))[/tex]

[tex]\implies y=-5(x+3)+4[/tex]

Substituting point (-2, -1) in the point-slope equation:

[tex]\implies y-(-1)=-5(x-(-2))[/tex]

[tex]\implies y=-5(x+2)-1[/tex]

Answer: It should be this exactly: (x+4)(x-3)=0

Step-by-step explanation:

Answer:

take 95% and 0.06 and find what is half of 95 and then multiply that by 95 and then put it in a fraction. amd circle your final answer

Answer:

$28.92

Step-by-step explanation:

Find the discount

28.99 × 0.05 = 1.4495

28.99-1.4495 = 27.5405

Calculate the tax of the discounted item

27.5405 x 0.05 = 1.377

27.5405 + 1.377 = 28.9175

Answer:

(-7,-3)

Step-by-step explanation:

explained in graph :)

Answer:

the cans of food are 448 in number

Answer:

448

Step-by-step explanation:

Let's assume the final answer is x

128 ÷ x +3 ÷ 7 =  5 ÷ 7

x = 448

Step-by-step explanation:

[tex] \frac{2}{3} v + \frac{1}{6} = \frac{7}{9}v - \frac{5}{6} [/tex]

[tex] \frac{1}{6} + \frac{5}{6} = \frac{7}{9} v - \frac{2}{3} v[/tex]

[tex] \frac{6}{6} = ( \frac{7}{9} \times \frac{2}{3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{2 \times 3}{3 \times 3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{6}{9} )v[/tex]

[tex]1 = ( \frac{7 - 6}{9} )v[/tex]

[tex]1 = ( \frac{1}{9} )v[/tex]

[tex]v = 9[/tex]

I hope it helped you

Answer:

The correct answer is v=9

Step-by-step explanation:

The picture is attached.

Hope it helps you buddy!!!!!!

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Answer:

it is an regular polygon

Answer:

10, if you make both shots;

3, if you make just the money ball

7, if you make just the regular ball

Step-by-step explanation: