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lawyer [7]
3 years ago
15

How do I establish this identity??

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0
\frac{cosec\theta+cotan\theta} {sec\theta+tan\theta}=\frac{cosec\theta+cotan\theta} {sec\theta+tan\theta}\times\frac{cosec\theta-cotan\theta}{cosec\theta-cotan\theta}\times\frac{sec\theta-tan\theta} {sec\theta-tan\theta}

And use that,

\sec^2\theta-\tan^2\theta=1

cosec^2\theta-cotan^2\theta=1
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Find the height of the prism if the length is 9 inches, the width is 5 inches, and the volume of the prism is 315 cubic inches.
trasher [3.6K]

Answer:

Height of prism = 7 inches

Step-by-step explanation:

Let h be the height of prism.

Hence,

h =  \frac{vol \: of \: prism}{l \times w}  \\  \\  =  \frac{315}{9 \times 5}  \\  \\  =  \frac{315}{45}  \\   \\ h= 7 \: inches

5 0
2 years ago
Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
Masteriza [31]

Answer:

C,

Step-by-step explanation:

A and D is incorrect because they are negative correlation

and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values

so answer C

3 0
2 years ago
Please help me I’m so lost !!!!
Tasya [4]

Answer:

4095

Step-by-step explanation:

\sum _{n=1}^63\left(4^{n-1}\right)\:

\sum _{n=1}^63\cdot \:4^{n-1}

Compute general progression:

\frac{3\cdot \:4^{\left(n+1\right)-1}}{3\cdot \:4^{n-1}}=4

r=4\\

a_1=3\cdot \:4^{1-1}

a_1=3

nth term is computed by:

r=4,\:a_n=3\cdot \:4^{n-1}

plug in the values n=6,\:\spacea_1=3,\:\spacer=4:

=3\cdot \frac{1-4^6}{1-4}

=4095

5 0
3 years ago
What is the volume of the cylinder pictured below?
Vera_Pavlovna [14]

Answer:

Answer is 80.36

Step-by-step explanation:

V=πr2h=π·2.12·5.8≈80.35566

Pls mark brainleist

Hope this helps

Thanks!!

8 0
2 years ago
Is p(x)= |x| an inverse function
docker41 [41]

Answer:

Step-by-step explanation:

p(x) = |x|

in : R  let : y = |x|

calculate : x

y² = |x| ²

y² = x²

y² - x²= ( y - x)( y +x) by identity

y = x or y = - x

the inverse : y = x or y = - x

conclusion : the inverse is : g(x) = |x|

4 0
3 years ago
Read 2 more answers
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