Answer:
75 m
Step-by-step explanation:
Let the length of the pole to be : x m
1/5 of x is inside the mud, this will be : 1/5 x
2/3 of x in inside water , this will be : 2/3 x
10 m remaining is above the water surface. Finding the fraction that remains will follow;
x - {1/5 x + 2/3x } = 10
x-13/15 x =10
2/15 x = 10
x= 75 m
Answer:
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
5y - 8 = 3y + 1 Add 8 to both sides
5y = 3y + 1 + 8 Subtract 3y from both sides
5y - 3y = 9 Combine
2y = 9 Divide by 2
2y/2 =9/2
y = 4. 5
5y - 8 =
5(4.5) - 8 =
22.5 - 8 =
14.5
That represents 1/2 of MO
MO = 2 * 14.5
MO = 29
Answer:
17
Step-by-step explanation:
Answer:
k = 4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division of f(x) by (x-1) is f(1). Evaluating the expression for x=1 gives ...
2(1³) -3(1²) +k(1) -1 = 2 -3 +k -1 = k -2
We want this to be equal to 2, so ...
k -2 = 2
k = 4