Answer:
sin X = 12/13
cos X = 5/13
tan X = 12/5
Step-by-step explanation:
Recall the definitions as follows:
For a right triangle (i.e one angle is 90 deg) with one of the angles X
sin X = opposite side / hypotenuse
cos X = adjacent side / hypotenuse
tan X = opposite side / adjacent side
In our case for angle A, the following applies:
opposite = 36
adjacent = 15
hypotenuse = 39
hence
sin X = opposite side / hypotenuse = 36/39 = 12/13
cos X = adjacent side / hypotenuse = 15/39 = 5/13
tan X = opposite side / adjacent side = 36 /15 = 12/5
Answer:
21, 22, 23
Step-by-step explanation:
Construct equations representing each piece of information.
Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.
Let's let
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X = (Y + Z) - 24
We also know that
Y = X + 1
and Z = X + 2
We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.
X = (X+1) + (X+2) - 24
now solve for x,
X = 2X + 3 - 24
X = 2X - 21
-X = - 21
X = 21
So, the integers are 21, 22, 23
Ray KM is an angle bisector of NKL.
Answer:
There are no possible solutions for this question.
Step-by-step explanation:
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
