21) 3(2j-k)=108 It is asking you to set the equation equal to j
distribute the 3
6j-3k=108
move k to the other side by adding on both sides
6j=108+3k
divide everything by 6
j=18+0.5k
Answer:
To the nearest hundredth, this is 30.79 units
Step-by-step explanation:
To find the length of the arc, we simply apply the length of arc formula
Mathematically, that would be;
theta/360 * 2 * pi * r
Theta here is 98
r is 18 units
So the length of the arc will be;
98/360 * 2 * 22/7 * 18
= 30.7876 units
to the nearest hundredth, this is;
30.79 units
Answer:
A)
A1= 64
A2= 40
B)
P= 56(of whole shape)
Step-by-step explanation:
A squares area is a side squared so 8^2= 64, and it is also shown that a side of the square is the base of the parallelogram. The area of a parallelogram is b*h so (square side)(8) * height(5)= 40.
Since a parallelograms opposite sides are congruent, 8+8=16, and the other two sides need to be congruent and equal to 40-16(24), therefore the sides are both 12.
Then to calculate the perimeter just count up the side lengths, 8+8+8+12+8+12=56
Answer:
Value = 500000 × (1.1^n)
$1,296,871
Step-by-step explanation:
a = 500000
r = 550000 ÷ 500000 = 1.1
1st term is the initial year:
n years after that is the "n+1"th term
Value = 500000 × (1.1^n)
n = 10
500000(1.1¹⁰)
1,296,871.23005
