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I am Lyosha [343]

3 years ago

12

PLZ HELP ASAP SIMILAR AND CONGRUENT TRIANGLES

1 answer:

Stells [14]3 years ago

7 0

We know that

in the triangle ROA
tan (∡ROA)=12/5
(∡ROA)=arc tan(12/5)---------> 67.38°

in the triangle OPA
(∡POA)=(∡ROA)-------> 67.38°
sin (∡POA)=PA/5-------> PA=5*sin (67.38°)-----> 4.62 units

the answer is
PA=4.62 units

<span>alternative method

</span>in the triangle ROA
RO²=12²+5²-------> RO=13 units
sin (∡ROA)=12/13

in the triangle OPA
(∡POA)=(∡ROA)
sin (∡POA)=12/13
sin (∡POA)=PA/5
12/13=PA/5-------> PA=12*5/13-------> PA=4.62 units

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When we integrate any function without the limits then it will be an indefinite integral.

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Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

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$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

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$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

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