Write an equation of the line in slope-intercept from (answer fast pls )

Y=

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = [tex]\frac{diameter}{2}[/tex]

                = [tex]\frac{6}{2}[/tex] = 3 in

Diameter of cylinder B = 9 in,

its radius = [tex]\frac{diameter}{2}[/tex]

               = [tex]\frac{9}{2}[/tex]  = 4.5 in

Thus,

a. circumference of a circle = 2[tex]\pi[/tex]r

Circumference of cylinder A = 2[tex]\pi[/tex]r

                                               = 2 x [tex]\pi[/tex] x 3

                                            = 6[tex]\pi[/tex] in

Circumference of cylinder B = 2[tex]\pi[/tex]r

                                              = 2 x [tex]\pi[/tex] x 4.5

                                              = 9[tex]\pi[/tex]

Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]

                                               = [tex]\frac{6\pi }{9\pi }[/tex]

                                               = 2:3

b. The surface area of a cylinder = 2[tex]\pi[/tex]rh

the surface area of cylinder A = 2[tex]\pi[/tex]rh

                                                  = 6[tex]\pi[/tex]h

the surface area of cylinder B = 2[tex]\pi[/tex]rh

                                                = 9[tex]\pi[/tex]h

The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]

                                                 = [tex]\frac{6\pi h}{9\pi h}[/tex]

                                                 = 2:3

c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                = [tex]\pi[/tex] x [tex]3^{2}[/tex] x h

                                = 9[tex]\pi[/tex]h

volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                    = [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h

                                    = 20.25[tex]\pi[/tex]h

The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]

                                         = [tex]\frac{9\pi h}{20.25\pi h}[/tex]

                                         = 4:9

d=6in,9in

r=3in,4.5in

circumference:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

LSA:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

TSA

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]

[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]

[tex]\\ \sf\longmapsto 7:15[/tex]

Volume:-

[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]

[tex]\\ \sf\longmapsto 4:9[/tex]

Answer:

Line segment AD

[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]

[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]

Line segment BC

[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]

[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]

Line segment AB

[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]

[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]

[tex]AB = b[/tex]

Line segment CD

[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]

[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]

[tex]CD = b[/tex]

Step-by-step explanation:

We defined the length of each side by the Equation of the Line Segment, which is a particular case of the Pythagorean Theorem. Let [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (b,0)[/tex], [tex]C(x,y) = (b+c, d)[/tex] and [tex]D(x,y) = (c,d)[/tex], we construct the equations below:

Line segment AD

[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]

[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]

Line segment BC

[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]

[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]

Line segment AB

[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]

[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]

[tex]AB = b[/tex]

Line segment CD

[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]

[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]

[tex]CD = b[/tex]

Answer:

y=6x+18 or 72=6x+18

Step-by-step explanation:

18 represents the y intercept as 6x represents the constant variation

Answer:

68 degrees

Step-by-step explanation:

60-12(12 degrees colder on Tuesday)=58

58+10(10 degrees warmer on Wednesday)=68

Answer:

B. No , b/c the sides are not congruent

Step-by-step explanation:

A square is a four-sided figure whose sides are all the same length and whose angles are all right angles measuring 90 degrees. To be a square, a shape must be all these things:

A plane figure

A closed shape

A regular polygon

A quadrilateral

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

Answer:

165 pounds

Step-by-step explanation:

3 times 7 = 21

186 - 21 = 165

Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

Learn more about the arithmetic operation here:

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Answer:

6

10

10

Step-by-step explanation:

3/5 x 10 = 30/5 = 6

5/6 x 12 = 60/6 = 10

5/8 x 16 = 80/8 = 10

Answer:

6 hour and 110 Min

Step-by-step explanation:

Answer:

7 hours and 59 minutes

Step-by-step explanation:

1 hour 52 minutes = 60 + 52 = 112 minutes

2 hours 6 minutes= 120+6 =126 minutes

2 hours 3 minutes = 120 +3= 123 minutes

1 hour 58 minutes = 60 + 58 = 118 minutes

Total number of minutes / 60 minutes= # hours + minutes

479/60= Approximately 8 hours. It is 7 hours and 59 minutes to be exact.

Answer:

1+y [tex]\leq[/tex] -13

Step-by-step explanation:

The problem states that one plus y is No greater than -13.

This means that is less than or equal to -13.

It also gives you one plus y, or 1+y

Put everything together to get 1+y [tex]\leq[/tex] -13

Answer:

1+y=

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

40%

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hope it helps

I don't really know how to explain sorry

Answer:

Hi and have a great day!

Step-by-step explanation:

Step-by-step explanation:

The formula is given by :

[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]

We have,

m = 19° and d = 9 cm

So,

[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]

Hence, this is the required soltion.

Answer:

12 cats or B

Step-by-step explanation:

Because there are 3 more dogs than cats and if there is 2 cats for every 5 dogs, 5x6=30 so 2x6=12.

Answer:

B

Step-by-step explanation:

Answer:

149.28 m²

Step-by-step explanation:

Bottom and two sides of the rectangle: 3x4x6=72

Two square ends of the rectangle: 2x4x4=32

Two triangular sides of the prism: 2x1/2x2x6=12

Back of prism: 2x4=8

Top of prism: 4x6.32=25.28

72+32+12+8+25.28=149.28

Answer:

The answer should be $7,087.50

Step-by-step explanation:

4.50 x 50 = 225

225 x 1.05 = 236.25

236.25 x 30 = 7087.50

Compound interest is the interest we earned from the principal together with the interest.

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

P = $1125

R = 5% compounded annually

Time = 30 years.

The amount saved for retirement is $4861.13.

It is the interest we earned from the principal together with the interest.

The formula for the amount earned with compound interest after n years is given as:

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

We have,

Principal:

There are 5 weekdays in a week.

50 weeks = 50 x 5 weekdays = 250 weekdays.

One weekday = $4.50

250 weekdays = 250 x 4.50 = $1125

Now,

P = $1125

Rate = R = 5%

Time = T = 30 years

n = 1

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

A = 1125 [tex](1 + \frac{5}{100}) ^{30}[/tex]

A = 1125 x 4.321

A = 4861.125

A = $4861.13

Thus,

The amount saved for retirement is $4861.13.

Learn more about compound interest here:

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Answer:

C both is the right answer

Answer:

7.6e+12 written in scientific notation is 7.6 x 10^12

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

d

Step-by-step explanation:

Answer:

x =23

Step-by-step explanation:

1) [tex]\frac{7x}{20x-4}[/tex] = [tex]\frac{3}{2x+2}[/tex]

2) Cross multiply - 14x+14=60x-12

3) Combine like terms - 46x=2

4) Divide - x=23