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prohojiy [21]
3 years ago
15

Triangle ABC is a right triangle.

Mathematics
2 answers:
slava [35]3 years ago
8 0

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

I just took the quiz on edge

BabaBlast [244]3 years ago
6 0
U can use the second last one

X + 90 = 2x + 40
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Can some one help me in polynomials homework
8090 [49]

Answer:

24x^3+34x^2+53x+8

Step-by-step explanation:

8 0
3 years ago
How to find the derivative of cos^2x? i seem to be confused.
slamgirl [31]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

•  Method I:

y = cos² x

y = cos x · cos x


Differentiate it by applying the product rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x)\cdot cos\,x+cos\,x\cdot \dfrac{d}{dx}(cos\,x)}


The derivative of  cos x  is  – sin x. So you have

\mathsf{\dfrac{dy}{dx}=(-sin\,x)\cdot cos\,x+cos\,x\cdot (-sin\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=-sin\,x\cdot cos\,x-cos\,x\cdot sin\,x}


\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark

—————

•  Method II:

You can also treat  y  as a composite function:

\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.


and then, differentiate  y  by applying the chain rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{du}(u^2)\cdot \dfrac{d}{dx}(cos\,x)}


For that first derivative with respect to  u, just use the power rule, then you have

\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2u\cdot (-sin\,x)\qquad\quad (but~~u=cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2\,cos\,x\cdot (-sin\,x)}


and then you get the same answer:

\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

3 0
3 years ago
Find the sales tax. Sales Tax nbsp Selling Price nbsp nbsp Rate of Sales Tax nbsp nbsp Sales Tax nbsp ​$70.00 6​% ​? The sales t
Lena [83]

Answer:

Sales tax is $4.20

Step-by-step explanation:

70*6/100=4.2

5 0
3 years ago
Solve for x and verify your answer. 15x + 6 = 201
frosja888 [35]
Subtract 6 from both sides
15x= 195

Divide both sides by 15
x=13

Final answer: x=13
Check:
15(13)+6
195+6
201

201=201
3 0
3 years ago
Read 2 more answers
I need help on 5 and 6 geometry
DiKsa [7]
That's 5 and that's 6

4 0
3 years ago
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