Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.
30 divided by 3. Their are 3 sets of ten by 30 positives
Use the distance formula to get your answer. The distance formula is d=sqrt(x2-x1)^2+(x1-y1)^2 Once you plug your coordinates into it, you'll get your answer.
Answer:
see explanation
Step-by-step explanation:
Since AC = BC then ΔABC is isosceles with base angles
∠BAC =∠ABC, thus
3x + x = 70
4x = 70 ( divide both sides by 4 )
x = 17.5
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∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence
y = 70 + x = 70 + 17.5 = 87.5
Let
x-->volume of white vinegar you need to add to the mixture (measured in cups)
<span>then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
t</span>he volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50<span>multiply both sides by (10+x) and then simplify
</span>(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8
the answer is
<span>you need to add 8 of a cup of the pure vinegar to the mixture</span>
