This problem can be solved through simple arithmetic
progression
Let
a1 = the first term of the sequence
a(n) = the nth term of the sequence
n = number of terms
d = common difference
Sn = sum of all terms
given
a1 = 12
a2 = 16
n = 10
d = 16 -12 = 4
@n = 10
a(n) = a1 + (n-1)d
a(10) = 12 + (9)4
a(10) = 48 seats
Sn = (n/2) * (a1 + a(10))
Sn = 5* (12 + 48)
Sn = 300 seats
Therefore the total number of seats is 300.
The area of the sector rounded to 4 decimal place is 78.6396 cm²
<h3 /><h3>How to find the area of a sector?</h3>
area of sector = ∅/ 360 × πr²
Therefore,
Hence,
area of a sector = 46 / 360 × 3.14 × 14²
area of a sector = 46 / 360 × 3.14 × 196
area of a sector = 46 / 360 × 615.44
area of a sector = 28310.24 / 360
area of a sector = 78.6395555556
Hence,
area of a sector = 78.6396 cm²
learn more on sector here: brainly.com/question/27946869
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Answer:
0.1715
Step-by-step explanation:
From previous experience 340/1982 is the past probability that a person has high blood pressure.
The division of that leads to 0.1715 that the next person will have high blood pressure. That number is roughly (very roughly) 1 person in 6. So if 6 people come in 1 will have high blood presure.
divide the points by the multiplier 1.9
so 3.8 /1.9 =2
the base score was 2.0
For this case we have the following points:
y = (- 2, 5)
z = (1, 3)
Therefore, the vector yz is given by:
yz = z - y = (1, 3) - (-2, 5)
yz = ((1 - (- 2)), (3-5))
yz = ((1 + 2), -2)
yz = (3, -2)
Then, the magnitude is given by:
lyzl = root ((3) ^ 2 + (-2) ^ 2)
lyzl = root (9 + 4)
lyzl = root (13)
Answer:
yz = (3, -2)
lyzl = root (13)
option A
