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Elena L [17]
2 years ago
8

PLZ HURRYY!!Solve for p.5p – 7 > – 12

Mathematics
1 answer:
Anarel [89]2 years ago
8 0

I am gonna do what you did to me and say its easy.

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Find exact values for sin θ, cos θ and tan θ if sec θ = 6/5 and tan θ < 0
k0ka [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{6}{5}\cfrac{\leftarrow hypotenuse}{\leftarrow adjacent}
\\\\\\


\bf \textit{so.. using the pythagorean theorem, we get}
\\\\\\
c^2=a^2+b^2\implies \pm \sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}
\\\\\\
\textit{that simply means that }\pm \sqrt{6^2-5^2}=b\implies \pm \sqrt{11}=b

but.. which is it, the positive or negative version of "b"?  well.... we know tangent is < 0, that's another way of saying, tangent is negative

now.. .tangent is opposite over adjacent... for tangent to be negative, the sign of those two must differ

so.. where does that happens? well, it happens on the 2nd and 4th quadrants, so..... which quadrant then?

well, we know the hypotenuse is always positive, is just the radius anyway, and in this case is 6
but the adjacent is positive 5, that means the adjacent is positive, thus the opposite must be negative, and that happens on the 4th quadrant

so that means \bf -\sqrt{11}=b

so... now, you have all three sides, the hypotenuse, the adjacent, and the opposite, so, just fill those in, in the ratios for cosine, sine and tangent
6 0
3 years ago
Which expression is equal to 4√20 - 3√45
zheka24 [161]

Answer:

D.−√5

Step-by-step explanation:

4 sqrt(20) -3 sqrt(45)

We know that sqrt(ab) = sqrt(a) sqrt(b)

4 sqrt(4) sqrt(5) - 3 sqrt(9) sqrt(5)

4 *2 sqrt(5) - 3 *3 sqrt(5)

8 sqrt(5) - 9 sqrt(5)

- sqrt(5)

3 0
3 years ago
Use the law of cosines to find the indicated missing side
max2010maxim [7]

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

7 0
2 years ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!
FinnZ [79.3K]
I hope this helpssss

4 0
1 year ago
Read 2 more answers
What is the length of AC?
lora16 [44]

Answer:

the answer is 18 feet because that line in the middle of the triangle is half the size of AC

5 0
3 years ago
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