Answer:
The correct choice is D
Step-by-step explanation:
The trigonometric functions, 
and 
are defined for all real numbers.
, this function is not defined where 
.
, this function is not defined where 
.
, this function is not defined where .
For option A
The domain of 
is all real numbers.
The domain of g(x) =tanx is 
For option B
The domain of 
is all real numbers.
The domain of f(x) =csc(x) is 
For option C,
The domain of G(x) =tanx is
The domain of f(x) =cot(x) is
For option D;
The domain of f(x) =cot(x) is
The domain of f(x) =csc(x) is
<em>Hi there!</em>
<em>This should be easy,lol!</em>
<em>Answer:</em>
<em />![\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-128%7D%20%3D%20%5Cboxed%7B-128%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: -221.702503)</em>
<em />![\sqrt[3]{162} = \boxed{162 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162%7D%20%3D%20%5Cboxed%7B162%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: 280.592231)</em>
<em />![\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D%20%3D%20%5Cboxed%7B-1732.050808x%5E4%7D)
<em />
<em>Sorry bout the explanation thingy. Their really long -.-!</em>
<em>But the last one is short so i'll put it for you!</em>
<em>Step-by-step explanation:</em>
<em>∴!For the last one!∴</em>
<em />![\sqrt[3]{-1000x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D)
<em />
<em>Simplifies to:</em>
<em />
<em />
<em />
<em> </em>
<em />
<em />
<em>Have a great day/night!</em>
You add them together to get 5 and 3/4 feet or 5.75 feet.
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15
That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30
Conclusion for Area: After adding the results the answer should be 45.
The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:
10 + 5 + 5 + 6 + 3 + 3 = 32
Conclusion for Perimeter: So the perimeter would be 32.
I hope this helps in someway, have a great rest of your day! ^ ^
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