Let the height of the tree be x, then
18 inches / 3 feet 9 inches = x / 21 feet 3 inches
18 inches / 45 inches = x / 255 inches
45x = 18 x 255 = 4590
x = 4590 / 45 = 102
Therefore, the tree is 102 inches = 8 feet, 6 inches tall
Answer:
Therefore the lengths of the opposite side pairs.
C) 18, 9
Step-by-step explanation:
Given:
Quadrilateral ABCD is a parallelogram
AB = 6x
DC = x + 15
AD = 9
BC = 3y
TO Find:
AB = ?
BC = ?
Solution:
Quadrilateral ABCD is a parallelogram ..........Given
∴ Both pairs of opposite sides of a Parallelogram are congruent.
∴ AB = DC and AD = BC
substituting the values we get
substituting the x' and 'y' values we get
Therefore the lengths of the opposite side pairs.
C) 18, 9
Answer:
p= -1
Step-by-step explanation:
14-6p-2=24+6p
12-12p=24
-12p=12
p=-1
Answer:
T = 40 (minutes?)
Step-by-step explanation:
Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem). Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:
850 = 50 + 2T
Subtract 50 from both sides: 850 - 50 = 50 + 2T - 50 or 800 = 2T
Divide 2 from both sides: 800/2 = 2T/2
Solve for T: 40 = T
Number of combinations possible = 4! / 2! 2! = 6
Each of these has probability 1/2*1/2*1/2*1/2 = 1/16
Required probability = 6 * 1/16 = 3/8
