Answer:
= 94
Step-by-step explanation:
To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2. The answer is £110 x 1.2 = £132.
so to workout an increase of 9% followed by 3% we would do:
9% - 3% = 6%. convert = 0.06 = 100-6 = 94 converted into 0.94 x 100 = 94
Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2. g is the gravitational constant at the surface of earth.
g= 9.81 m/s^2
After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.
Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters
(b) It has to travel 90 meters to hit the ground . So we must find t
Using the same equation
t = (2*H/g)^.5
t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
Answer:
the solution is (-1/2, 6).
Step-by-step explanation:
Next time, please share the instructions.
Start by carrying out the indicated multiplication:
2x + 2y = 23 - 2y
Consolidate l ike terms: combine 2y and -2y: result: +4y on the left side:
2x + 4y = 23
Let's solve this system using elimination by substitution. Multiply 2x + 4y = 23 by -3 to obtain a -6x term:
-3(2x + 4y = 23) = -6x - 12y = -69. Now combine this result with the second equation:
-6x - 12y = -69
6x + 5y = 20 + 7
-------------------------
- 7y = -42
Dividing both sides by -7, we get y = 6. Subbing 6 for y in the 2nd equation, we get:
6x = 27 -5(6), or
6x = 27 - 30 = -3
Then x = -3/6, or x = -1/2
and the solution is (-1/2, 6).
