The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
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Answer:

6 is no, -8 is no, - 10 is no, 5 is no

Step-by-step explanation:

6 is no beacause 3 - 4(6) = 11

                            3 - 24 = 11

                               -21 = 11

-21 is not equal to 11 so that means that 6 is not a solution.

- 8 is no because 3 - 4(- 8) = 11

                             3 + 32 = 11

                                  35 = 11

35 is not equal to 11 so that means that - 8 is no a solution

- 10 is no beacause 3 - 4(-10) = 11

                            3 + 40 = 11

                               43 = 11

43 is not equal to 11 so that means that - 10 is not a solution.

5 is no beacause 3 - 4(5) = 11

                            3 - 20 = 11

                               -17 = 11

-17 is not equal to 11 so that means that 5 is not a solution.

Hope that helps!

Answer:

If u=6,

 3-4u=11

3-4(6)=11

 3-24=11 (false; not a solution)

If u=-8,

  3-4u=11

3-4(-8)=11

 3+32=11 (false; not a solution)

If u=-10,

   3-4u=11

3-4(-10)=11

   3+40=11 (false; not a solution)

If u=5,

 3-4u=11

3-4(5)=11

3-20=11 (false; not a solution)

Answer:

c = 2.

Step-by-step explanation:

When the first part of the function has the value 0,  f(x) will also be 0 if the c wasn't there.

So the value of c is 2.

From the given graph n is a positive odd number.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the graph,

All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.

So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).

Also, we can see that the function increases, if n was a negative number, like: n = -N

We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]

So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.

Then n is a positive odd number.

Therefore, n is a positive odd number.

Learn more about the exponential function here:

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Answer:

Surface of[tex]35,875.86 cm^2[/tex]

Voliume of [tex]234,671.58 cm^3[/tex]

Long and painful calculations

Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.

Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]

We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]

Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]

Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]

Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]

Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].

Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is  [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]

Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]

Volumes now. You wished this was over? I totally did.

Bulk of the calculations are done luckly. It's just to cut and paste here and there.

Pyramid first. We know the side length, we know the height, volume is the usual formula

[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]

Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:

[tex]54*54*70= 204,120 cm^3[/tex]

Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:

[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]

From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]

We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]

Double and triple check numbers, even if I rand them with excel.

Answer:

0

Step-by-step explanation:

use the slope formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

(-5, 8); -5 is x1 and 8 is y1

(-11, 8); -11 is x2 and 8 is y2

Plugin the numbers and solve.

[tex]m = \frac{8 - 8}{ - 11 - - 5 } \\ \\ m = \frac{8 - 8}{ - 11 \ + 5} \\ \\ m = \frac{0}{ - 6} \\ \\ m = 0[/tex]

Answer:

Cociente: Español

Step-by-step explanation:

Quotient: English

Answer:

7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Parallel lines with transversal

The angles are the same because of corresponding angles

130=19x-3

133=19x

133/19=x

x=7

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

Answer:

x < 12/5

Step-by-step explanation:

First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.

Next, subtract 5 on both sides to get

5x + 12 > 10x.

Afterwards, subtract the 5x on both sides to get 12 > 5x.

Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.

Hope this helps you :)

Answer:

1111102111

Step-by-step explanation:

a = 1

r = 10

∑1x10^n = 1111102111

where n starts from 1 to 10

Answer:

Answer: -7

Step-by-step explanation:

The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.

In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.

A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.

We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.

Now, if f(x) = 0

then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0

Now, calculating in separate the value of x as

x +4 =0 and x+ 7= 0

x = -4 and x = -7

Thus, the roots cross x axis at -4 and -7.

Learn more about Roots of Equation here:

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Answer:

No

Step-by-step explanation:

Answer:

1 13/20

Step-by-step explanation:

3/4 divide by 5/11

=3/4 times 11/5

=33/20

Convert

=1 13/20

Hello there! :)

12+2c+6d-8c+d

Combine like terms:

2c-8c+d+6d+12

-6c+7d+12

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.

Simplification is to make something easier to do or understand and to make something less complicated.

The given equation is;

12+2c+6d-8c+d

By adding the same terms the equation can be simplified;

[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]

Hence the simplified equation will be 12+7d-6c.

To learn more about the simplification refer to the link;

https://brainly.com/question/23509407

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

d = 8km/h × 2h = 16km

Serena ran 16km in these 2 hours.

Answer:

the correct answer is 16km

Step-by-step explanation:

pl.z dont delete this

Answer:

I think it's D

Step-by-step explanation:

Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.

Answer:

2nd one

Step-by-step explanation:

I know this because I learned about this

Hello!

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19x+5+16x=180

First, add the x's together:

35x+5=180

Now, subtract 5 from both sides:

35x=180-5

35x=175

Divide both sides by 35 to isolate x:

x=5

Hope you find my answer helpful! Please give the crown if you do! (:

~SparklingFlower

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Answer:

12. 108 degrees

13. 150 degrees

15. 40 degrees

16. 30 degrees

Step-by-step explanation:

12. 540 is the total degrees inside a pentagon, and since it is regular (every side is equal) you divide 540/5 to get 108

13. 1800 is the total degrees inside a dodecagon, and since it is regular (every side is equal) you divide 1800/12 to get 150

15. 1260 is the total degrees inside a nonagon however since it is asking for the exterior angle you take 1260/9 to get 140 and since every straight line is 180 degrees you subtract 140 from 180 to get 40 degrees.

16. 1800 is the total degrees inside a 12-gon (dodecagon) however since it is asking for the exterior angle you divide 1800/12 to get 150 degrees which since every straight line is 180 you subtract 150 from 180 to get 30 degrees.

Answer:

Step-by-step explanation:

m = 63°

n = 135°

p = 63°

r = 112.5°

s = 50°

t = 67.5°

Answer:

D

Step-by-step explanation:

Can i get brainiest Sorry if im wrong <3

Answer:

(0,. 5 )

Step-by-step explanation:

Substitute the input x = 0 into the function for output y

y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]

Answer:

B 16a + 20

Step-by-step explanation:

4(4a + 5) = 4 times 4a + 4 times 5

= 16a + 20

Answer:

10,000

Step-by-step explanation:

So 9 is the thousands place.

To round you just gotta see if 5 or up or 4 or down.

so it’s 5 or up so we add 1

so 10,000

Answer:

15y + 32z - 6x

Step-by-step explanation:

-9y + 8(4z + 3y) -6x

=> -9y + 32z + 24y - 6x

=> 15y + 32z - 6x

Hoped this helped.

Answer:

im going to guess cause i barely see 120

Step-by-step explanation:

Answer:

Three sets of supplementary angles

1 & 4 = 180º

2 & 5 = 180º

3 & 6 = 180º

Total = 540º

Sum of angles in triangle = 180º

Therefor sum of exteriort angles

540 - 180 = 360º

Step-by-step explanation:

x = how many games won last year

x - 1 = how many games won each year

Answer:

put a point on (0,8) and (4,3)

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

John is 15 years old, and his age is 3 more than 5 times his brother's age

The equation is given as:

[tex]\mathbf{5p + 3 = 15}[/tex]

This means that:

Read more about word equations at:

https://brainly.com/question/20518082

The equation 5p + 3 = 15 can be used to find Mgbafor's age when  Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.

The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.

Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.

Learn more: https://brainly.com/question/11897796