Answer:
B. -3, -10, -17, -24, -31
Step-by-step explanation:
An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.
A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.
C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.
D is incorrect as the numbers jump from positive to negative, thus not having a common difference.
Hope this helps!
Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11
answer is A.
x = 11
Answer:
3
Step-by-step explanation:
Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
Unit rate is 3. equation is 21÷7=3
