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Scilla [17]
3 years ago
6

Solve for 43. 43 = [?] 58° 139° 41° 43

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

∠3 = 81

Step-by-step explanation:

Interior angles in a triangle add up to equal 180°

Hence, 58° + 41° + ∠3 = 180

58 + 41 = 99

99 + ∠3 = 180

* subtract 99 from each side *

99 - 99 cancels out

180 - 99 = 81

we're left with ∠3 = 81°

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If x=1+√2, evaluate x³+1/x³.
aleksandr82 [10.1K]

Answer:

10√2

Step-by-step explanation:

If x=1+√2, evaluate x³+1/x³

--------

  • x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
  • x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
  • x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
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3 years ago
Determine if the values in the table are proportional yes or no
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Answer:

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Step-by-step explanation:

3 0
2 years ago
100 points + Brainy<br><br> Math help please
aev [14]

Answer:

Q = -6

Step-by-step explanation:

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2 x (x - 3y = 4)

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2x - 6y = 8

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The 2x's cancel out, and then remove the equals and the 8:

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<h3>So Q must be -6</h3>
<h2>Hope this helps!</h2>
5 0
4 years ago
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Prepare 1500 ml of 5.0 M H2SO4 from a stock H2SO4 which is 80% pure and a s.g of 1.018
pentagon [3]

To solve this we use the equation,

 

<span> M1V1 = M2V2</span>

 

<span> where M1 is the concentration of the stock solution, V1 is the volume of the stock solution, M2 is the concentration of the new solution and V2 is its volume.</span>

<span>
</span>

<span>M1 = .80 g H2SO4 / g solution (1018 g solution / L solution ) (1 mol / 98.08) = 8.30 M</span>

<span>
</span>

<span>8.30 (V1) = (5.0 M) (1.5 L)</span>

<span>V1 = 0.9036 L or 903.6 mL of the stock needed</span>

3 0
4 years ago
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