Answer:
D
Step-by-step explanation:
When multiplying numbers with the same base but different exponents, add the exponents together.
Answer:
-24 2/7
Step-by-step explanation:
-180 4/7 -166 2/7
-180 -166 = -24
4/7-2/7 = 2/7
-24 2/7
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.
Answer:
6.8, 16.6, 26.4, 36.2
Step-by-step explanation:
Let's write the sequence, d is the common difference:
- 3, - 3 + d, - 3 + 2d, -3 + 3d, - 3 + 4d, 46
Therefore 46 = -3 + 5d
5d = 49
d = 49/5 = 9.8
So the first arithmetic mean is -3 + 9.8 = 6.8. and the second is -3 + 2(9.8) = 16.6...
They are:
6.8, 16.6, 26.4, 36.2.
Answer:
the angle of depression is 45 degrees
Step-by-step explanation:
120(150)
angle theorem
points postulate
90/2=45
please mark brainliest and give thanks
