Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct
False. All the numbers are doubling. -1 to -2 to -4. The next number would probably be be -8.
Have a nice day!
Answer:
The first five terms are
.
Step-by-step explanation:
The sequence is defined recursively by the formula
.
The first term of the sequence is given to be,
.
To find the next term, we substitute
in to the above formula to get,
.
.
But 
.
.
.
To find the third term, we substitute
in to the above formula to get,
.
.
But 
.
.
.
To find the fourth term, we substitute
in to the above formula to get,
.
.
But 
.
.
.
To find the fifth term, we substitute
in to the above formula to get,
.
.
But 
.
.
.
Therefore, the first five terms are
. The correct answer is C
Answer:
Area = 210m^2
Step-by-step explanation:
If you turn your shape sideways, you can see you have a trapezoid.
Area of a trapezoid is Average Parallel sides × height. That is:
Area
= (base+base)/2 ×h
The two measures are given for the bases, 5 and 16. The height is also given.
see image.
A = (5+16)/2 • 20
= 210
Area is 210m^2.
Area of a quarter circle = ( pi x r^2 ) / 4
(3.14 x 2.5^2) /4 = 4.9 feet