Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
2/3(6c+4)-(8c-5)
1) Get rid of the negative signs
New equation (the ones in bold are the changes): 2/3(6c+4)+(-8c)+(5)
2) Use distributive property for the first part by multiplying 2/3*6c= 4c and 2/3*4= 2 2/3
New equation: 4c+2 2/3+ (-8c) + 5
3) Combine like terms: 4c+(-8c)= -4c and 2 2/3+5= 7 2/3
New and simplified equation: -4c+ 7 2/3
Answer:
Angle WZY=31degrees
Step-by-step explanation:
5x+11=8x-1
11+1=8x-5x
12=3x
X=12/3
X=4
Substitute x=4 in 5x+11
5(4)+11=31
Answer:
B
Step-by-step explanation:
The question asks why you can use the argument that two angles are congruent. Hence, you want to have a statement that involves two angles in the two triangles. Only statement B is such a statement.
_____
Multiple choice questions often answer themselves, if you understand what you're reading.
Answer:
Point B is the result of a 90° counterclockwise rotation.
Step-by-step explanation: