This is a geometric sequence with an initial term of 27 and a common ratio of 1/3
This just means that each term is 1/3 the term preceding it.
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:
a(n)=27(1/3)^(n-1)
Answer:
you +1 on each side
Step-by-step explanation:
a is 30-1=7
b is 32=8
to get from "a" to "b" you simply add one on both sides
32 - 1 = 7
+ 1 +1
------------------
32=8
part A is just simple multiplication
since there are 2 6 sided number cubes there are 36 possible outcomes(6 sides *6 sides)
Part B is a little trickier. First off, you must find how to get seven.
1. 1+6 and 6+1
2. 2+5 and 5+2
3.3+4 and 4+3
therefore there are six combinations
you put that number over the total combos and get 6/36 or 1/6.
Hope this helps!
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) = 
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) = 
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
For 1 hour:
- Jennifer can clean 1/2 of her room;
- John cal clean 1/5 of her room.
Both can clean: 1/2 + 1/5 = 5/10 + 2/10 = 7/10
1 hour -------- 7/10
x hours---------- 1
x = 1 : 7/10 = 10/7 h = 1.42857 h ( or 1 h 25 min 43 s )
