Answer:
D. 
Step-by-step explanation:
Area of sector of a circle is given as θ/360*πr²
Where,
r = radius = 12 cm
θ = 56°
Use 3.14 as π
Plug in the values into the formula and solve


Area of the sector ABC =
The answer is D
The answer is D, i.e. the system was solved via elimination
If you multiply the first equation by 5, the system becomes

If you sum the two equations, you get

And so if you substitute the second equation of system A with this new equation, you'll get system B.
Hello.
In 10 years, his age will be

The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was

The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was

The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be
, his age 2 years ago was
, and his age 7 years ago was 
I hope it helps.
Have a nice day.

Answer:
radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) = 
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians = 
= 
Angle formed by the hands of the clock at 8:00 =
radians
The explicit rule for given sequence is:

Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:

Putting the values of a1 and d

The explicit rule for given sequence is:

Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
#LearnwithBrainly