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3 years ago

Please answer correctly my answer depends on this

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer:

x = -3 and x= 3

Step-by-step explanation:

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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 $\frac{5}{12}$ .

5 0

3 years ago

X and y-intercept of y=X-5

aksik [14]

The x-intercept is when y = 0
y = x - 5 → 0 = x - 5 → x = 5

The y-intercept is when x = 0
y = x - 5 → y = 0 - 5 → y = - 5

Answer: x-intercept is (5, 0), y-intercept is (0, -5)

4 0

3 years ago

The product of 1540 and m is a square number. find the smallest possible value of m

aliina [53]

The smallest possible value of m according to the task is; 1/1540.

<h3>What is the smallest possible value of m?</h3>

Since it follows from the task content that the product of 1540 and m is a square number and the smallest possible small number is; 1.

The equation which holds true is; 1540 × m = 1

Consequently, m = 1/1540.