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3 years ago

15

A voter polling research group determined that between 40% and 46% of the voting population would vote for the republican candid

ate on elections day.
What was the margin of error for this research?

1 answer:

padilas [110]3 years ago

5 0

Answer:

+-3%

Step-by-step explanation:

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Whats is a 3 step problem that can represent the expression 3x + (-5) = 19

GrogVix [38]

Answer:

$x=8$

Step-by-step explanation:

$3x-5=19\\$

The first step is to add -5 to both sides:

$(3x-5)+5=19+5\\3x=24$

The next step is to divide 3 on both sides:

$\frac{3x}{3} =\frac{24}{3}$

$x=8$

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3 years ago

Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

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