Angle MNP is correspondent to angle LKI
Answer:
a. 100.48
b. 1,004.8
c. 1,105.28
Step-by-step explanation:
a. a cone with volume = ⅓×3.14×4²×6=
100.48
b. a cylinder with volume = 3.14×4²×20=
1,004.8
c. total volume = 100.48+1,004.8
= 1,105.28
Answer:
The mean is 14.167
Step-by-step explanation:
In order to find the mean, you must add all of the numbers together and then divide by the number of inputs.
(7 + 4 + 8 + 9 + 12 + 45)/6
85/6
14.167
Answer:
C) 21
Step-by-step explanation:
a² + 20² = 29² Use Pythagorean Theorem to solve for a
a² + 400 = 841 Solve for the exponents
- 400 - 400 Subtract 400 from both sides
a² = 441 Take the square root of both sides
a = 21
<h2><u>Part A:</u></h2>
Let's denote no of seats in first row with r1 , second row with r2.....and so on.
r1=5
Since next row will have 10 additional row each time when we move to next row,
So,
r2=5+10=15
r3=15+10=25
<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>
r1=5=5+0=5+0×10=5+(1-1)×10
r2=15=5+10=5+(2-1)×10
r3=25=5+20=5+(3-1)×10
<u>So for nth row,</u>
rn=5+(n-1)×10
Since 5=r1 and 10=common difference (d)
rn=r1+(n-1)d
Since 'a' is a convention term for 1st term,
<h3>
<u>⇒</u><u>rn=a+(n-1)d</u></h3>
which is an explicit formula to find no of seats in any given row.
<h2><u>Part B:</u></h2>
Using above explicit formula, we can calculate no of seats in 7th row,
r7=5+(7-1)×10
r7=5+(7-1)×10 =5+6×10
r7=5+(7-1)×10 =5+6×10 =65
which is the no of seats in 7th row.
