Given AP is 21 ,18,15,...
First term = 21
Common difference = 18-21 = -3
Let an = -81
We know that
an = a+(n-1)d
⇛21+(n-1)(-3) = -81
⇛ 21-3n+3 = -81
⇛24-3n = -81
⇛ 24+81 = 3n
⇛ 105= 3n
⇛ n = 105/3
⇛ n = 35
35th term of the AP is -81.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> Which term of a AP 5 , 13 , 21 ,... is 181?
brainly.com/question/2406241?referrer
Which term of the AP:3, 8, 13, 18,...,is 78?
brainly.com/question/15380012?referrer
Step-by-step explanation:
y = 2/5 x - 9/5
when x = -1,
the value of y = 2/5(-1) - 9/5
= -2/5 - 9/5 = -11/5
when x = 0
=> y = 2/5(0) -9/5
= 0-9/5 = -9/5
when x=1
=> y = 2/5(1) - 9/5
= 2/5 - 9/5 = 7/5
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Answer:
2 * 2 * 3 * 3
Step-by-step explanation:
We are to write the value of 36 as a product of of prime factor
Factorizing 36;
2| 36
2| 18
3| 9
3| 3
| 1
Multiplying out all the factors;
36 = 2 * 2 * 3 * 3
Hence the prime factors of 36 are 2 * 2 * 3 * 3