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timofeeve [1]
3 years ago
13

Find m∠Y if m∠Y is six more than three times its supplement

Mathematics
1 answer:
Elanso [62]3 years ago
6 0
Let x = measure of angle y's supplement
therefore measure y is 3x + 6
if two angles are supplement then they add up to 180
3x+6+x = 180
4x+6 = 180
4x = 174
x= 43.5 <-- thats the angle of angle Y's supplement
angle y is 3(43.5) + 6 = 136.5 degrees
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According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
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<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0
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Reggie is looking up yearly job benefits, the pay is $8.50 an hour for a 40- hour week. His employer also provides fridge benefi
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hello

to solve this problem, we need to work out how much he earns weekly, and then work it up to annually

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\begin{gathered} 8.50\times40=340 \\ \text{ in 1 year, we have 52 weeks} \\ \text{annual wage =340}\times52=17680 \end{gathered}

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he gets fridge benefit of 19% of his annual wage

we need to find 19% of $17,680

\begin{gathered} \frac{19}{100}=\frac{x}{17680} \\ 100\times x=19\times17680 \\ 100x=335920 \\ x=\frac{335920}{100} \\ x=3359.2 \end{gathered}

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we can add up the total to know his total annual wage

total annual wage = wage + allowance = $17680 + $3359.5 = $21,039.2

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\begin{gathered} \text{net wage=} \\ 21039.2-1409=19630.2 \end{gathered}

Reggie's annual wage after expenses = $19630.2

7 0
1 year ago
List the integer values of n which satisfy the inequality 2 ​
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Answer:

2, 3, 4, 5, 6

Step-by-step explanation:

Hi there!

We're given that 2\le n < 7. This means that <em>n</em> can be any value in between 2 and 7, and also 2.

2

The integer values in between 2 and 7 are 3, 4, 5 and 6.

2, 3, 4, 5, 6

I hope this helps!

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