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luda_lava [24]
3 years ago
13

E varies directly with the square root of C. If E=40 when C=25 find: E when C= 49

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0

Answer:

Step-by-step explanation:

tiny-mole [99]3 years ago
6 0

Answer: E = 56

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = 49

k = 8

E = ?

E = k√C

E = 8 × √49

E = 8 × 7

E = 56

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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

8 0
3 years ago
Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 e
Andre45 [30]

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

5 0
3 years ago
Find the percent of increase to the nearest whole from 12 to 20
ankoles [38]

Answer:

The answer is

<h2>67\%</h2>

Step-by-step explanation:

To find the percentage increase we use the formula

<h3>Percentage \:   change =  \frac{change}{original \:  \: quantity}  \times 100\%</h3>

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

<h3>\frac{8}{12}  \times 100 \%\\  =  \frac{2}{3}  \times 100\% \\  = 66.67\%</h3>

We have the final answer as

67\% to the nearest whole number

Hope this helps you

3 0
3 years ago
In which interval is the graph constant?
SOVA2 [1]

Answer:

It is constant from point C to point D.

Step-by-step explanation:


7 0
3 years ago
I need help on this question
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Odds of spinning green are 1/5
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