Answer: Area is 20
Step-by-step explanation:
Perimeter of a rectangle is 24
Let the length be x
Let the breadth be Y
Length is 5times the breadth
I.e
X=5y
Formula for perimeter of a rectangle is
2(length + breadth)
= 2(x+y)
Substitute for x=5y
2(5y+y)=24
2(6y)=24
6y=24/2
6y=12
Y=12/6
Y=2
Breadth = 2
Since length =5y
Length=5(2)
Length = 10
Area of a rectangle = length × breadth
Area= 10×2
Area = 20
Area of the rectangle is 20
Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.
the triangles are similar by AA.
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
1) Company A and C
2)Your answer is f(t) = 180(0.5)^t This is because the number is cut in half for every hour.
3)C 0 ≤ x ≤ 50 is the right answer because the starting time 9:05 is considered as zero and the 9:55 is the ending point which is considered as 50.Or simply the difference of both the times is the domain of the function.
