Answer:
the fraction of quart of milk does each of the four friend get is 1 ÷ 24
Step-by-step explanation:
The computation of the fraction of quart of milk does each of the four friend get is shown below:
= Sharing quart of milk × fraction of friends
= 1 ÷ 6 × 1 ÷ 4
= 1 ÷ 24
Hence, the fraction of quart of milk does each of the four friend get is 1 ÷ 24
Answer:
<h3><ABC > <DBC.</h3>
Step-by-step explanation:
Given < DBC = < RST and we need to prove < ABC is greater than <RST.
First given statement:
< DBC = < RST
Reason: Given.
Second given statement :
<ABC = <DBC+ <ABD.
Reason: Angle addition theorem.
<em>Note: < ABC is the sum of angles <DBC and <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and <ABD is always greater than <RST.</em>
Also, <ABC is greater than <DBC.
Therefore, correct option for third statement is :
<h3><ABC > <DBC.</h3>
Answer:
28.27 in²
Step-by-step explanation:
The area of a circle is dependent on only one variable: the radius:
A = πr²
If the radius is 3 inches, as you seem to indicate, then:
A = π(3 in)² = 9π in² = 28.27 in²
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.
