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Paha777 [63]
3 years ago
6

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .

Help please because it says 209.22 is not the answer
Mathematics
1 answer:
maria [59]3 years ago
8 0
Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2
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A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough t
ohaa [14]
Hello There!

First work out the number of shelves per bookcase:
65/13 = 5
It is 5 shelves per bookcase.
6 x 5 = 30.
Therefore 32 shelves are enough to make 6 bookcases.

Hope This Helps You!
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- Hannah ❤
4 0
4 years ago
Read 2 more answers
The system of equations below has no solution.
mixer [17]

Answer:

  • Second option: 0 = 26

Explanation:

This is the given system of equations:

\frac{2}{3} x+\frac{5}{2} y=15\\ \\ 4x+15y=12

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.

To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:

<u>1. First equation times 6:</u>

6\times\frac{2}{3} x+6\times\frac{5}{2}y=6\times 15\\ \\ 4x+15y=90

<u />

<u>2. Second equation times - 1:</u>

-4x-15y=-12

<u />

<u>3. Add the two new equations:</u>

0=78

<u />

<u>4. Conclusion:</u>

Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.

The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.

In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.

7 0
3 years ago
Read 2 more answers
The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If
saw5 [17]

Answer:

  TP = 13

Step-by-step explanation:

The height of the trapezoid can be found from the area formula:

  A = (1/2)(b1 +b2)h

  h = 2A/(b1 +b2) = 2(100)/(32 +8)

  h = 5

The horizontal length of each triangular end of the trapezoid is ...

  (32 -8)/2 = 24/2 = 12

so the hypotenuse of the triangular end of the trapezoid is ...

  TP = √(12^2 +5^2) = √169

  TP = 13

The sides of the trapezoid have length 13 units.

4 0
3 years ago
Arrange the following and ascending and descending order first one is 1 by 12 1 by 23 1 by 5 1 by 7 1 by 50 1 by 9 1/17
Nonamiya [84]

Answer:

Ascending order is given by

1/50<1/23<1/17<1/12<1/9<1/7<1/5

Descending order is given by

1/5>1/7>1/9>1/12>1/17>1/23>1/50

Step-by-step explanation:

We are given that

1/12,1/23,1/5,1/7,1/50,1/9,1/17

We have to arrange the numbers in ascending and descending order.

LCM of 12,23,5,7,50,9,17

23\times 5\times 12\times 7\times 50\times 17\times 9

=73899000

\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}

\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}

\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}

\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}

\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}

\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}

\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}

14779800>10557000>8211000>6158250>4347000>3213000>1477980

Therefore,

Ascending order is given by

1/50<1/23<1/17<1/12<1/9<1/7<1/5

Descending order is given by

1/5>1/7>1/9>1/12>1/17>1/23>1/50

5 0
3 years ago
Find the correct error |10| = -10
Sunny_sXe [5.5K]

Answer:

The answer cannot be a negative number because those lines around the ten is how far away it is from 0 (its absolute value)

Step-by-step explanation:

7 0
3 years ago
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