Answer:
88
Step-by-step explanation:
We are given that in arithmetic sequence , the nth term 
is given by the formula
Where 
d=Common difference
In an geometric sequence, the nth term is given by
Where r= Common ratio
1,4,7,10,..
We have to find 30th term.
Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.
Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence
Then, we get
Hence, the 30th term of sequence is 88.
Answer:
A
Step-by-step explanation:
For the first block, you need to multiply a x a x b
3 x 3 x 6 = 54
For the 2nd block, you need to multiply a x a x c
3 x 3 x 12 = 108
Now you need to add both volumes of the blocks
108 + 54 = 162 in^3
Answer:
x = 30
Step-by-step explanation:
9-x/5=3
Subtract 9 from each side
9-9-x/5=3-9
-x/5 = -6
Multiply each side by -5
-x/5 *-5 = -6*-5
x = 30
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
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