Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Three equations are:
2x+1=6x+3
8x+6=2x+3
8x+4=2x+1
<u>Step-by-step explanation:</u>
Using the digits 0-9, no more than one time each, place a digit in a box to create an equation with a solution x= -1/2 . We need to Create three equations. Formula is below. __ x+ __=__ x+ __ . Let's find out:
2x+1=6x+3
Let's verify this :
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8x+6=2x+3
Let's verify this :
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8x+4=2x+1
Let's verify this :
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To solve this problem, you'll need to subtract 25 (total quantity of roasted almonds) by the remaining variable of roasted almonds (3 1/2 lbs.), resultant towards finding how many pounds of roasted almonds Xavier had sold; Xavier had sold 21 1/2 pounds of almonds.
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to
210*0.05= 10.5 g salt
The rest of the amount, determined by difference, is the amount of solvent which is water.
water = 210-10.5 = 199.5 g salt
To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant.
Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
