ANSWER
The exponential equation is
EXPLANATION
The given geometric sequence is
The formula for finding the nth term of a geometric sequence is
where the first term is
and the common ratio
is the ratio between any two consecutive terms of the sequence.
We substitute these values to obtain,
The correct answer is C.
Answer:
648 people can ride in 6 hours with a rate of 108
Step-by-step explanation:
6 hours = 360 mins
1. 360/25=14.4
2. 14.4*45=648
3. 648/6=108
cos(2x+x)
=cos (2x)cosx-sin(2x)sinx
=(1-2sin^2x)cosx-2sinxcosx*cos x
=cos x-2 sin ^2 x cos x-2 sin^2 xcos x
=cos x-4sin^2 x cos x
=cos x {1-4(1- cos ^2 x)}
=4 cos ^3x -3 cos x
Because we are talking here about a geometric series and they r decimals, so you right in tenths, hundredths,......etc.
Answer:
(d) 60°
Step-by-step explanation:
<u>Theorems</u>
- Interior angles of a triangle sum to 180°
- Angles on a straight line sum to 180°
Therefore, the <u>exterior angle</u> of a triangle is <u>equal to the sum</u> of the <u>two non-adjacent interior angles</u> of the triangle.
⇒ (a + 20) + (a + 10) = (a + 90)
⇒ a + 20 + a + 10 = a + 90
⇒ 2a + 30 = a + 90
⇒ 2a + 30 - a = a + 90 - a
⇒ a + 30 = 90
⇒ a + 30 - 30 = 90 - 30
⇒ a = 60