Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:
Substitute the value of x to (3)
Answer: x = 3 and y = 1.
Answer:
15%.,..........,..............,.......,..............,...........
Answer:
3/20
Step-by-step explanation:
The total number of marbles is
3 red marbles+ 2 blue marbles+ 5 green marbles = 10 marbles
P(1st marble is red) = red marbles/total
=3/10
We replace the marble so there are still 10 marbles in the bag
P(2nd marble is green) = green marbles/total
=5/10 = 1/2
P(1st red, 2nd green) = P(1st marble is red) * P(2nd marble is green)
=3/10 *1/2
=3/20
For this case we have the following equation:
h = -16t ^ 2 + 32t + 6
Deriving we have:
h '= -32t + 32
We equal zero and clear t:
-32t + 32 = 0
32t = 32
t = 32/32
t = 1 s
Then, the maximum height is given by:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
It takes the ball to reach its maximum height about:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
Answer: 122.5 Miles.
Step-by-step explanation: This is because if you multiply 35 miles by 3.5 inches, you get 122.5 miles.
Hope this helps!
