Answers:
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Explanation:
Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way
and so on. This process may take a while to reach 
There's a shortcut. The nth term of any arithmetic sequence is
We plug in 
and simplify
Then we can plug in various positive whole numbers for n to find the corresponding 
value. For example, plug in n = 2
which matches with the second term we found earlier. And,
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The notation 
refers to the sum of the first ten terms 
We could use either the long way or the shortcut above to find all 
through . Then add those values up. Or we can take this shortcut below.
The sum of the first ten terms is -85
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As a check for , here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that 
is correct.
Hello!
Acute angles are angles less than 90°
A right angle is a angle that is exactly 90°
A Obtuse angle is a angle that is more than 90°
Looking at the picture there are
acute angles - 2
obtuse angles - 2
right angles - 0
Hope this helps!
Answer:
Sylvia needs 12 l of orange juice and 9 l of pineapple juice.
Step-by-step explanation:
triple means multiplying by 3
so multiply 4 l of orange juice by 3 and 3 l of pineapple juice by 3
Answer:
9 units2
Step-by-step explanation:
area of a triangle= lengthxwidth/2
3x6=18/2=9
Answer:
The total value of the discount was $10.80.
Step-by-step explanation:
Since we are finding the value of the discount, we just need to find 18% of 60.
We can convert 18% into a decimal.
18%=0.18
Multiply.
0.18*60=10.8
The total value of the discount was $10.80.
