Answer:
<u>______________________________________________________</u>
<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>
For any right angled triangle with one angle α ,
or 
or 
<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>
- <u></u>
or 
- <u></u>
or 
<u>______________________________________________________</u>
Now , lets come to the question.
In a right angled triangle , let one angle be α (in place of theta) .
So , lets solve L.H.S.



= R.H.S.
∴ L.H.S. = R.H.S. (Proved)
The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21
<h3>
What is the equation?</h3>
A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.
Area of a rectangle = length x width
x (4 + x) = 21
x² + 4x = 21
To learn more about quadratic equations , please check: brainly.com/question/27696091
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Answer:
15.8
Step-by-step explanation:
The formula would be V = Bh, the Base being LxW.
Since we already know the base and volume, we can substitute it into the formula.
306.52 = 19.4(h). Divide by 19.4, and you get 15.8 as your answer.
Hope that helps! Tell me if im worng, im only a student .m.
Answer:
x = -1 or x = -10
Step-by-step explanation:
x^2 + 11x + 10 = 0
x^2 + 10x + x + 10 = 0
x(x + 10) + 1(x + 10) = 0
(x + 1) (x + 10) = 0
x + 1 = 0 or x + 10 = 0
x = -1 or x = -10