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Akimi4 [234]
3 years ago
6

Find x. Give reasons to justify your solution

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:  x = 28

===================================================

Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

----------

Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28

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An aluminum rod 0.500 m in length and with a cross-sectional area of 2.20 cm2 is inserted into a thermally insulated vessel cont
netineya [11]

Answer:

a). V_{He}   = 14.6208 litres : b). = 0.29844 Litres/sec

Step-by-step explanation:

a).

Step 1.

Volume when one half of rod is inserted = (50/2)*(2.2) = 55cm³

Step 2.

As we know that,

V_{He} = (ρV_{c}IΔT)_{Al} / (ρL_{v})H_{c}                     where H_{c} = 290 - 4.2 = 285.8K

                                                        sepecififc heat of aluminum = 0.215 cal/g

                                                                                      density = 2.7 g/cm3

      = (2.7)*(55)*(0.215)*(285.8) / (0.125)*(20900)*(1/4186)

V_{He}   = 14.6208 litres

b).

Step 1.

As we know that

  P = kA(dT/dx) = 31*2.2*[(290-4.2)/25]

                         = 779.6624 W

Step 2.

Now, approximate boil rate of helium is:

P/ρL_{v}= [(779.6624)*(10^3g/kg)] / [(0.125)*(20900)]

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6 0
3 years ago
Do you know if not don't answer What is 3x+1/5y=7
Mrac [35]
You will have to use trial and error in order to find the values for x and y.
Just keep plugging values until you get 7.

I found x is equal to 2 and y is equal to 5.

3(2) + (1/5)5 = 7
6 + 5/5 = 7
6 + 1 = 7
7 = 7
3 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
3 years ago
aiden has collection of 3 nickles and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickles do
Nata [24]
100 nickels and three quarters
3 0
3 years ago
Did I get this right plz be honest if i fail this i will fail this class
anyanavicka [17]

Step-by-step explanation:

Part A

A) The denominator is 665, so this is a terminating decimal.

B) 11/99 = 1/9 = 0.1111...

C) 256/999 = 0.256256256...

D) 25/909 = 275/9999 = 0.027502750275...

B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits.  So the correct answer is C.

Part B

A decimal that can be written as a ratio of integers is a rational number.

6 0
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