Answer:
565.5 in^3
Step-by-step explanation:
To find the full volume of the tank
V = l*w*h
We know 12 inches high, 14.5 inches long, and 6.5 inches wide.
Substituting in
V = 12 * 14.5*6.5
V =1131 in ^3
He is filling it 1/2 full, that would be 1/2 of the volume
1/2 V = 1131/2 = 565.5 in^3
Answer:
Probability of card black 0,5 or 50%
Probability of face card 0,23 or 23 %
Step-by-step explanation:
A normal deck of card has 52 cards, half ( 26) black and half red (26)
Probability of card drawn is black is 0,5 or 50%
The deck has 4 suits and each suit 3 face cards, therefore we find 12 possibles events out of 52
Probability of drawn card is face card 12/52 = 0,23 or 23 %
Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels
We have been given a graph that involves Real axis and Imaginary axis.
From that graph we have to choose correct line segment which joins complex numbers 2+2i and -1+3i.
We know that if complex number is (a+bi) then real part "a" is always plotted along x-axis and the imaginary part "b" is always plotted along y-axis just like point (a,b) on x-y graph.
So 2+2i means point (2,2) on x-y graph which is at point B.
similarly -1+3i means point (-1,3) which will be at point A.
So the line segment joining them will be AB
Hence final answer is the line segment AB.
