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The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.

For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.

The lateral surface area of the cylinder = 2πrh

Let assume Radius, r = 10

Height, h = 5.

The lateral surface area of the cylinder = 2πrh

       = 2 × 3.14 × 10 × 5

       =  314cm sq.

Read more about cylinders;

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Answer:

251.3

Step-by-step explanation:

A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

Answer:

520/9 = 57.77....8

Step-by-step explanation:

4x 10/3 x 13/3= 130/9 x4=520/9

Answer:

57 7/9

Step-by-step explanation:

4*4 1/3*4 1/3 = 57 7/9

Answer:

$53.30

Step-by-step explanation:

2.5% of 52 is 1.3

1.3 + 52 = 53.30

hope this helped :)

Answer:

$53.30

Step-by-step explanation:

Cost of lunch : $52

Tax : 2.5%

Divide the tax (2.5%) by 100

2.5 ÷ 100 = 0.025

Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.

52 × 0.025 = 1.3

Now, add 1.5 (sales tax) with 52 (cost of lunch).

52 + 1.3 = 53.30

So, the total cost of the lunch + tax is $53.30.

Hope this helped !

Answer:

equals 1864 and this head and this talk

Answer: Nancy is 12

Nancy = 5/6N =10

Step-by-step explanation:

Elizabeth = 5/6N

5/6N = 10

Divide both sides by 5/6

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

Answer:

2x+4+3x+4

5x+8

2(2x+4)+x

Step-by-step explanation:

• 2x+4+3x+4 would be equal to 5x+8

because you will group like terms: 2x+ 3x=5x and 4+4=

• 2(2x+4)+x

multiple what's outside the bracket by what's inside .

4x+8+x

4x+x =5x and 8

sooo 5x+ 8

Hope this helps

Answer:

They are the same size.

Step-by-step explanation:

Radius is one half the diameter meaning our diameter is twice as large as our radius. So (diameter)/2 = radius or 2*radius= diameter. So since the radius of circle r is 7 inches, that means its diameter is 14 inches. If the diameter of circle k is 14 inches, that means its radius is 7 inches.

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

Answer:

a)  $92.75

b)  $371

Step-by-step explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

Create equations based on the given information:

y = 35   for x < 4

y = 35 + 5.25(x - 4)  for x ≥ 4

Part (a)

Given:

⇒ y = 35 + 5.25(15 - 4)

      = 35 + 5.25(11)

      = 35 + 57.75

      = 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

                                                    = 4 × 92.75

                                                   = $371

Answer:

it is rational

Step-by-step explanation:

trust me

Answer:

[tex]4\frac{7}{20}[/tex]

Hope This Helps! :)

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]

Convert in improper fractions:

[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 10:

10, 20, 30, 40

LCM of 4 and 10 is 20.

Hope this helps!

Answer: 3,277

Step-by-step explanation: all you have to do is add 2290 and 987 toghther  

Answer:

5567 $.

Step-by-step explanation:

The amount of money Alice has = 2290 $.

Cindy = Amount of money Alice has + 987

= 2290 + 987

= 3,277.

Now,

The amount of money combined = 2290 + 3277

= 5567 $.

Answer:

-2700

Step-by-step explanation:

3×-1=-3

900×-3=-2700

Answer:

16 nickels

Step-by-step explanation:

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = $ 0.05 or 5 cent

1 quarter = $ 0.25 or 25 cent

Anna has a collection of 45 nickels and quarters

Therefore,

n + q = 45

q = 45 - n --------- eqn 1

Anna has a collection of 45 nickels and quarters worth $8.05

$ 8.05 is worth 805 cents

Thus we frame a equation as:

number of nickels x 5 cents + number of quarters x 25 cents = 805

5n + 25q = 805 ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

5n + 25(45 - n) = 805

5n + 1125 - 25n = 805

20n = 1125 - 805

20n = 320

n = 16

Then there are 16 Nickels

Answer:

A. 42.59

B. 37.155

Step-by-step explanation:

I used a round calculator by the way

Answer:

you can try Multiplying 8 over 1 and 4 over1

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

Answer:

33 ounces.

Step-by-step explanation:

There are 16 ounces in a pound, so multiply 33/4 by 16, which gives you 132 ounces.  We can then divide this number by 4, 132/4, giving us 33 ounces of rice in each container.

Answer: it’s a

Step-by-step explanation:

The reason why i said it’s a is because I did this before.

Answer:

C. Step 3

Step-by-step explanation:

Fred lost the negative sign, but everything else was right. He should have gotten -9.

the length of the key will be 3 inched long because it is laying horizontally

Answer:

the answer should be 3.85 that they pay each

Step-by-step explanation:

Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15

Answer:

y=y

Step-by-step explanation:

y=y because y has the same value as y

Answer:

7 7/8

Step-by-step explanation:

Covert the mixed fractions into improper fractions to make this easier.

2 [tex]\frac{1}{4} and 3\frac{1}{2}[/tex] into [tex]\frac{9}{4} (2*4 +1) and \frac{7}{2} (3*2+1)[/tex]. (In parenthesis, its the process of creating the improper fractions and not part of the fractions themselves.

Now you just multiply both together since 1 bag needs 2 1/4 kilograms and Anthony needs  3 1/2 bags.

That gets you [tex]\frac{63}{8}[/tex] which you get by multiplying 9 and 7 in the numerator and 4 and 2 in the denominator

Finally, find out how many 8 goes into 63 which would be 7 times. 63-(7*8) = 7.

And so the answer is 7 7/8

[tex] \Large{\boxed{\sf x = 9}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 10 + \dfrac{x}{3} = 13 [/tex]

[tex] \\ [/tex]

Subtract 10 from both sides:

[tex] \sf 10 + \dfrac{x}{3} - 10 = 13 - 10 \\ \\ \sf \dfrac{x}{3} = 3 [/tex]

[tex] \\ [/tex]

Multiply both sides by 3:

[tex] \sf 3 \times \dfrac{x}{3} = 3 \times 3 \\ \\ \\ \boxed{\boxed{\sf x = 9}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

Step-by-step explanation:

In this question we have provided an equation that is 10 + X/3 = 13 . And we're asked to find the value of X .

Solution : -

[tex] \longmapsto \qquad \: 10 + \dfrac{X}{3} = 13[/tex]

Step 1 : Multiplying with 3 on both sides :

[tex]\longmapsto \qquad \:(10 + \dfrac{X}{3} ) \times 3=13\times3[/tex]

Now by using distributive property multiplying 3 with 10 as well as X/3 :

[tex] \longmapsto \qquad \: (10 \times 3) + ( \dfrac{X}{ \cancel{3}} \times \cancel{3}) = 13 \times 3[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: 30 + X = 39[/tex]

Step 2 : Subtracting with 30 on both sides :

[tex] \longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}[/tex]

Verifying : -

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

Therefore , our value for x is correct .