The picture in the attached figure
we know that
The angle bisectors of a triangle intersect in a point (
incenter) that is equidistant from the three sides of the triangle
so
ZA=YA=XA-----> <span>are the radii of the inscribed circle
XA=3 cm
therefore
ZA=3 cm
the answer isZA=3 cm</span>
Sin A = opposite / hypotenuse
If angle A is in the first quadrant, that means both x and y coordinate are positive.
Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.
Now you can use Pythagorean Theorem to solve for the length of adjacent side:
a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2
So adjacent side is 2√2.
So now we can solve for cosA:
cosA = adjacent / hypotenuse = 2√2 / 3
Final answer: 2√2 / 3
We take the function as a sequence
Term 1 ⇒ 5
Term 2 ⇒ 4
Term 3 ⇒ 3.2
Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 =
Term 3 / Term 2 =
=
When a sequence has a common ratio between term, the sequence is a Geometric Sequence
Where
is the first term,
is the common ratio, and
is the term number
We have:
and
The formula for the function is
To find the angles in these problems you have to do one of two things.
1) If we are looking for an interior angle with the exterior angle given, we can find the interior angle by subtracting the exterior angle from 180.
EX: Exterior angle K is 140. Therefore the interior angle is 40 (180 - 140 = 40).
2) If order to find an interior angle when you have other interior angles, add up the other interior angles and subtract them from 180.
EX) Interior angle A is 32 because the other angles are 120 and 28. (180 - 120 - 28 = 32)
ALSO, remember that the square is equal to 90 degrees. I've included an answer list for you below.
A = 32
B = 152
C = 65
D = 25
E = 37
F = 83
G = 97
H = 97
I = 83
J = 57
K = 40
L = 120
M = 60
N = 90
O = 79
P = 12
Let two number A and B, and A >B
as we know A+10=2B① && A+B =38②
①-② solve that
B=16 so A=22
so, they are 16 and 22
