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Simora [160]
2 years ago
7

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

Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0

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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Hey can someone help me :)
Arada [10]
1.
Convert 22 miles to feet.


1 mile = 5280 feet

22 × 5280 = 116,160 feet

2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....

Since you round the answer would be
2.1 miles per minute
6 0
2 years ago
a snowball is rolled down a giant hill. the radius of the snowball grows. every second the radius increases by 0.36 inches. four
Bad White [126]

Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66

<h3>How to find the linear function?</h3>

The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.

The linear function takes the form:

y = mx + b

y = dependent variable

m = slope or change in radius of snowball

x = seconds

b = y-intercept

Solving for the y-intercept gives:

3.1 = 0.36(4) + b

b = 3.1 - 1.44

= 1.66

The linear function is therefore:

y = 0.36x + 1.66

Find out more on linear functions at brainly.com/question/28029655

#SPJ1

3 0
1 year ago
Solve the inequality shown below.<br> -2(q-22)+q+12&gt;0
Andru [333]
<span><span><span><span>−<span>2<span>(<span>q−22</span>)</span></span></span>+q</span>+12</span>>0</span>
Step 1: Simplify both sides of the inequality.<span><span><span>
−q</span>+56</span>>0</span>
Step 2: Subtract 56 from both sides.<span><span><span><span>
−q</span>+56</span>−56</span>><span>0−56</span></span><span><span>
−q</span>><span>−56</span></span>
Step 3: Divide both sides by -1.<span><span><span>
−q</span><span>−1</span></span>><span><span>−56</span><span>−1</span></span></span><span>
q<56</span>
Answer: q<56
4 0
2 years ago
If AC=3x, AB=15, and BC=2x-1, how could we solve for x? A. Set 3x=15 B. Set 3x=2x-1 C. Set 3x+15=2x-1 D. Set 3x=15+ (2x-1) E. No
k0ka [10]
Hmm this is a very challenging question good luck finding someone who can answer it lol
5 0
3 years ago
Find the square root by long division of 2304​
Arturiano [62]

Answer:

48

Step-by-step explanation:

the square root of 2304 is 48

48^2=2304

8 0
3 years ago
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