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)
Answer:
The correct answer: F (Scalene) and A (Acute)
Step-by-step explanation:
F. (Scalene): By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.
A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.
The given triangle is not obtuse, equilateral, right, and isoceles.
It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.
It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.
It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.
And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.
P(5,2) = n! /(n-r)!
n = 5, r = 2:
= (5 x 4 x 3 x 2 x 1 ) / 3 x 2 x 1
Cancel out common factors:
= 5 x 4 = 20
The answer is 20.
X^2+2x-5x-10
x(x+2)-5(x+2)
(x-5)(x+2)
Answer: 650 Ft above the trough of the valley. Explanation 450 - (-200) = 650