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Gnoma [55]
4 years ago
6

Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU​

Mathematics
1 answer:
4vir4ik [10]4 years ago
6 0

$\cos\theta=\frac{\text{5}}{\text{13}},  \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

5^2+h^2=13^2

25+h^2=169

h^2=144

Taking square root on both sides.

h = 12

$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}

$\cos\theta=\frac{\text{5}}{\text{13}}

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

$\sin\theta=\frac{\text{12}}{13}

$\tan\theta=\frac{\text{Opposite}}{\text{Base}}

$\tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}

$\sec\theta=\frac{\text{13}}{\text{5}}

$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}

$\csc \theta=\frac{\text{13}}{\text{12}}

$\cot \theta=\frac{\text{Base }}{\text{Opposite}}

$\cot \theta=\frac{\text{5}}{\text{12}}

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Step-by-step explanation:

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So far, what you have is

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Not true.

To move right you subtract something in the brackets.

y = 2*abs(x - 4) - 6

Graph

Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.

red: y = abs(x)

blue: y = 2*abs(x - 4) - 6

5 0
3 years ago
Read 2 more answers
Write the equation of the line with the given point and slope. (4,4); slope= 7/4
inn [45]

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Step-by-step explanation:

Since the equation for a line is <em>y=mx+b </em>(where <em>m </em>is the slope and <em>b </em>is the y-intercept), we can fill in part of the equation with the coordinates. So far we have- <em>4=m4+b. </em>We can then add the slope into the equation, turning it to <em>4=7/4*4+b. </em>To find the y-intercept, you replace <em>x </em>with zero and solve for <em>y. So, </em>lets multiply <em>7/4 </em>and <em>4 </em>and simplify the equation to <em>4=(7*4)/4+b.</em> Next, we'll simplify the right side, turning the equation to <em>4=7+b. </em>Now, all we have to do is subtract <em>7 </em>from the right side of the equation, leaving us with the result of <em>b=-3.</em> We'll add that into our equation now, giving us our answer of 4=7/4*4-3

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vekshin1

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expeople1 [14]

hello i see that no one has answered your question yet well im here to help:)

(1,-19),(-2,-7)

so here one way you can find the slope

i usually always use this to help me to keep it in order

------------------

(X1,Y1)(X2,Y2)

   X2-X1

   Y2-Y1

use this and your garanteed to get the right answer everytime

------------------

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so your answer is -4

its really not hard you just got to get use to it

hope it help you:)

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