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tekilochka [14]
3 years ago
8

Find the value of x in the figure.

Mathematics
1 answer:
julsineya [31]3 years ago
4 0
45 is the answer to the question
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HELP ASAP question 5!!!
AnnyKZ [126]

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\  \\  \therefore \: 6 {x}^{2}  - 21x+ 3 {x}^{2}  + 4x = 85 \\  \\ \therefore \: 6 {x}^{2}  + 3 {x}^{2} - 21x + 4x  - 85 = 0 \\  \\ \huge \red {\boxed {\therefore \: 9 {x}^{2}  - 17x  - 85 = 0}} \\ hence \: proved.

8 0
3 years ago
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How many litres of milk can be put in six hemispherical bowl each of diameter 35cm​
Lesechka [4]

Answer:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

Step-by-step explanation:

The volume of a hemisphere (V), measured in cubic centimetres, is obtained from this formula:

V = \frac{2\pi}{3}\cdot R^{3}

Where R is the radius of the hemisphere, measured in centimetres.

We know that radius is the half of the diameter (D), measured in centimetres, then:

R = 0.5\cdot D

(D = 35\,cm)

R = 0.5\cdot (35\,cm)

R = 17.5\,cm

Now, we get the volume of each hemispherical bowl:

V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}

V \approx 11224.649\,cm^{3}

The total volume of six hemispherical bowl is:

V_{T} = 6\cdot V

V_{T}= 6\cdot (11224.649\,cm^{3})

V_{T} = 67347.894\,cm^{3}

From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

V_{T} = 67.348\,L

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

3 0
3 years ago
Calculate the pay for the following day of a
USPshnik [31]

Answer:  $122.50

<u>Step-by-step explanation:</u>

In          Out

8:00    12:00    = 4 hours

12:45    17:30   =<u> 4.75 hours   </u>

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                -<u> 12:45 </u>

                            4: 45

4 hours 45 minutes = 4\frac{3}{4} = 4.75 hours

6 0
3 years ago
The table gives two options for online music clubs which is also given by the system of equations: y = 0.4x + 15 and y = 0.2x +
geniusboy [140]
The correct answer is D
8 0
3 years ago
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HELP ME PLEASE FOR BRAINLIEST!!!!
Brilliant_brown [7]
I think it is 10.

hope this helps!!! :D
3 0
2 years ago
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