if a mayor is elected with 53% of the votes cast and 85% of a town's 26,000 voters voted, how many votes did the mayor receive?

Mathematics

1 answer:

lesya [120]3 years ago

3 0

That is the answer to it

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I need help please.

Mariana [72]

Answer:

.55

Step-by-step explanation:

You want to shorten the decimal to just to two after the decimal point. If so for example, .443 would be shortened to .44, but if the third number is 5 and up, you would take the second number after the decimal point and add 1. For example,

.446 would round up to .44, which is why .5524 would round to .55

8 0

3 years ago

Find cos θ given that cos 2θ = 5/6 and 0 ≤ θ < π/2. Give an exact answer

trasher [3.6K]

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\
$

$\bf cos(2\theta)=\cfrac{5}{6}\implies 2cos^2(\theta)-1=\cfrac{5}{6}\implies 2cos^2(\theta)=\cfrac{5}{6}+1
\\\\\\
2cos^2(\theta)=\cfrac{11}{6}\implies cos^2(\theta)=\cfrac{11}{12}\implies cos(\theta)=\pm\sqrt{\cfrac{11}{12}}$

now, bear in mind, the square root gives us +/- versions, so, which is it? well, we know the angle is in the range of "<span>0 ≤ θ < π/2", that simply means the 1st quadrant, so, we'll use the positive one then

</span> $\bf cos(\theta)=\cfrac{\sqrt{11}}{\sqrt{12}}\implies cos(\theta)=\cfrac{\sqrt{11}}{2\sqrt{3}}
\\\\\\
\textit{now, let's rationalize the denominator}
\\\\\\
\cfrac{\sqrt{11}}{2\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{11}\cdot \sqrt{3}}{2\sqrt{3^2}}\implies \cfrac{\sqrt{11\cdot 33}}{2\cdot 3}\implies \boxed{\cfrac{\sqrt{33}}{6}}$ <span>
</span>

3 0

4 years ago

A sweater that regularly sold for $52 is now on sale at 30% off. What is the sale price?

djyliett [7]

30 percent of 52= 15.6
52.00-15.60= 36.40
$36.40

3 0

3 years ago

Name the quadrant in which the angle is in cos theta>0, csc theta<0

bekas [8.4K]

Answer:

Quadrant 4

Step-by-step explanation:

Csc = 1/sin

Cos is positive in quadrants 1 and 4

Sin is negative in quadrants 3 and 4

7 0

3 years ago

I hate math i need help again

AfilCa [17]

You need help with what?

5 0

3 years ago