Answer:
Step-by-step explanation:
<u>Surface area:</u>
- S = 2(lw + lh + wh) + 2πrh
- S = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)
<u>Volume:</u>
- V = lwh + πr²h
- V = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)
Answer:
1440
Step-by-step explanation:
6 x 8 = 48
48 x 30 = 1440
Answer:
The angles 4, 5 and 6 are 36, 90 and 54 respectively.
Step-by-step explanation:
First, let's find the total number of parts:
2 + 5 + 3 = 10
The amount of degrees per part is 180 / 10 = 18.
Now, we multiply that factor to the ratio:
Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.
Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Answer:
sir this isnt math
Step-by-step explanation:
put it in spanish next time
