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xxTIMURxx [149]
3 years ago
14

The volume of the above cylinder is 21m find the radius of the circular end

Mathematics
1 answer:
german3 years ago
4 0

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

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A decibel is a logarithmic unit that can be used to measure the intensity of a sound. The function y = 10logx gives the intensit
Anna007 [38]

Answer:

The sound intensity of a whisper is 333.3 times the reference intensity

Step-by-step explanation:

Given : The function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity.

A whisper has a sound intensity of 30 decibels.

To find : Use your graph to help you complete the following statement. The sound intensity of a whisper is times the reference intensity.

Solution :

Graph is attached which shows their intersection at (1000,30).

We can also verify by substituting value.

We have given that a whisper has a sound intensity of 30 decibels.

Therefore, y=30 , Let log base 10

y = 10logx

30 = 10logx                              

\frac{30}{10} =logx

3=logx

Logarithmic property log_{x}b=a \Rightarrow b=x^a

x=10^3

x=1000

The ratio of the intensity of the sound to a reference intensity is 1000 decibels

The sound intensity of a whisper is times the reference intensity is

\frac{1000}{3}=333.33

The sound intensity of a whisper is 333.3 times the reference intensity.

7 0
3 years ago
Read 2 more answers
Factor the trinomial completely.<br><br> 2a²+ 5ab+2b²
nignag [31]

(2a + b) (a + 2b)

Factor by grouping.

5 0
3 years ago
Giving out brainliest !!
EastWind [94]

Answer:

4 Km behind.

Step-by-step explanation:

1. Draw a graph

2. make Dave Edith and Foley

3. 8-0 is 8 and 12-8 is 4

6 0
4 years ago
Read 2 more answers
Can you please help me evaluate this problems
Fofino [41]

Answer:

16.   137

17.    89

18.   168

19.   50

20.  8

21.   96

22.   39

23.   5

24.   -2

25.   7

Step-by-step explanation:

We have to follow BODMAS which is the acronym for Bracket, Of, Division, Multiplication and Subtraction.

We have to perform our calculations in this order. i.e., Solve the calculations in a bracket first then of and so on.

a = 12; b = 9; c = 4

16. a² + b - c²          = (12)² + 9 - 4²      = 144 + 9 - 16 = 153 - 16      = 137

17. b² + 2a - c²        = 81 + 2(12) - 16    = 81 + 24 - 16 = 105 - 16      = 89

18. 2c(a + b)           = 2 · 4 (12 + 9)      = 8(21)                                  = 168

19. 4a + 2b - c²      = 4(12) + 2(9) - 4²  = (48 + 18 - 16 = 66 - 16       =  50

20. [a² ÷ (4b)] + c  = [12² ÷ 4(9)] + 4 = [144 ÷ 36] + 4 = 4 + 4          = 8

21. c²(2b - a)          = 4²(2(9) - 12) = 4²(18 - 12) = 16(6)                     = 96

22. [bc² + a] ÷ c     = [9(4²) + 12] ÷ 4 = [9(16) + 12] ÷ 4 = 156 ÷ 4     = 39

23. [2c³ - ab] ÷ 4   = [2(4)³ - 12(9)] ÷ 4 = [2(64) - 108] ÷ 4

                              = [128 - 108] ÷ 4 = 20 ÷ 4                                   = 5

24. 2(a - b)² - 5c   = 2(12 - 9)² - 5(4) = 2(3)² - 20 = 18 - 20              = -2

25. [b² - 2c²] ÷ [a + c - b]

                              = [9² - 2(4)²] ÷ [12 + 4 - 9] = [81 - 32] ÷ [16 - 9]

                             = 49 ÷ 7                                                                 = 7

8 0
4 years ago
Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w
4vir4ik [10]

Answer:

Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25

Step-by-step explanation:

a.

Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25

Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042

See attached diagram.

b.

Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25

5 0
3 years ago
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