X= your age
400-2x=244
-2x=-156
x=78
you are 78 years old
X=-84. 3(x-6)+24=50+4(x+10)
distrubute. 3x-18+24=50+4x+40
move terms. 3x+6=90+4x
collect like terms 3x-4x=90-6
subtract -x=84
divide by -1. x=-84
Answer:
The answer to your question is: L = 30 ft
Step-by-step explanation:
Data
man = 6 ft
man shadow = 5 ft
lamppost shadow = 25 ft
lamppost height = ? = L
Process
L = 30 ft
Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Answer:
The maximum height of the volleyball is 12.25 feet.
Step-by-step explanation:
The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :
....(1)
The volleyball reaches its maximum height after 0.625 seconds.
For maximum height,
Put
Now put t = 0.625 in equation (1)
So, the maximum height of the volleyball is 12.25 feet.