Let
a------------> first number
b------------> second number
we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2
<span>I substitute 1 in 2
</span>
(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5
the answer is
the two numbers are
a=3.5
and
b=-10.5
Firstly expand it: 50k + 5 + 4 + 16k
Collect like terms: (50k + 16K) + (5 + 4)
Simplify: 66k + 9.
To start out, notice that you want the percent of voters that chose candidate A,
not the percent of the class that chose candidate A.
Your fraction should be "number that chose candidate A" out of "number of voters," which is the same thing as saying: "number that chose candidate A" divided by "number of voters"1) The numerator of the fraction should be the number of votes for candidate A, which is 11.
2) The denominator of the fraction should be the number of voters. You're told that "t<span>here were 11 votes for Candidate A and 15 votes for Candidate B," so there are:
</span>
3) Finally put parts 1 and 2 together into a fraction and multiply by 100 to get your percent. That is your final answer:
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Answer: Top right choice, <span>
</span>
When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:
Sin(α)=Opposite leg/Hypotenuse
You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16.
When you substitue these values, you have:
Sin(α)=Opposite leg/Hypotenuse
Sin(A)=8√3/16
When you simplify, you obtain:
Sin(A)=4√3/8
Sin(A)=2√3/4
Sin(A)=√3/2
Which is the ratio for Sin(A)?
The answer is: The ratio for Sin(A) is √3/2