The answer is about 27oz. and this is how you answer it.
<span>pi(d/2)^2 * h = V
3.14(3.6in./2)^2 * 5.9in. =
3.14(1.8in.)^2 * 5.9in. =
3.14 * 3.24 * 5.9in. ~
10.17in. * 5.9in. ~ 60in.^2
and 1in.^2 = 0.45oz. so
60 * 0.45oz. = 27oz.
that is with rounding to the nearest hundredth.
</span>
Answer:
N1,052,800.
Step-by-step explanation:
The starting salary of the officer = N57,000
Increase per annum =N2,800
The given pattern forms an arithmetic sequence since the annual salary increases by a fixed amount.
We are to determine the total amount of money that the officer will earn in 14 years.
Sum of an arithmetic sequence, ![S_n=\frac{n}{2}[2a+(n-1)d]$ ,where: \left\{\begin{array}{lll}$First term, a=57,000\\$Common difference, d=2,800\\$Number of terms, n=14\end{array}\right](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%24%20%2Cwhere%3A%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Blll%7D%24First%20term%2C%20a%3D57%2C000%5C%5C%24Common%20difference%2C%20d%3D2%2C800%5C%5C%24Number%20of%20terms%2C%20n%3D14%5Cend%7Barray%7D%5Cright)
![S_{14}=\frac{14}{2}[2(57,000)+(14-1)(2,800)]\\=7[114,000+13*2800]\\=7[150,400]\\=1,052,800](https://tex.z-dn.net/?f=S_%7B14%7D%3D%5Cfrac%7B14%7D%7B2%7D%5B2%2857%2C000%29%2B%2814-1%29%282%2C800%29%5D%5C%5C%3D7%5B114%2C000%2B13%2A2800%5D%5C%5C%3D7%5B150%2C400%5D%5C%5C%3D1%2C052%2C800)
At the end of 14 years, the total amount earned by the officer will be N1,052,800.
Answer:
x=2y
Step-by-step explanation:
random guess
The pattern the stations are appearing in is up 4 stations down 2 stations. If you continue this pattern you will see if he inspects station 33
Answer: angle Q = 75 degrees
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The tickmarks on segments PR and PQ indicate they are congruent, ie PR = PQ. Because of this, the base angles R and Q (opposite the segments mentioned) are congruent
Angle R = Angle Q
Since angle R is (2x+15) degrees, so is angle Q
Now use the idea that adding three angles of a triangle leads to 180 degrees
P+Q+R = 180
x+(2x+15)+(2x+15) = 180
5x+30 = 180
5x = 180-30
5x = 150
x = 150/5
x = 30
If x = 30, then angle Q is
angle Q = (2x+15) degrees
angle Q = (2*x+15) degrees
angle Q = (2*30+15) degrees
angle Q = (60+15) degrees
angle Q = 75 degrees
