Answer:
0.4
0.3
0.04
0.2
0.06
Step-by-step explanation:
Hope this helps :)
The area of Marcia's trapezoid felt is 76.5 sqaured centimeters
Answer:
Using a calculator, we can check that e=2.718281828.
Step-by-step explanation:
Lets evaluate each one of our expression the check which one is closest to e:
(1+ \frac{1}{31} )^{31}=2.675686306
(1+ \frac{1}{32})^{32}=2.676990129
(1+ \frac{1}{34} )^{34}=2.679355428
(1+ \frac{1}{33} )^{33}=2.678207651
We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.
Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
Two angles are supplementary if they add up to 180°.
?+ 30°= 180°
⇒ ?= 180° -30°
⇒ ?= 150°
The measurement of the second angle is 150°.