Answer:
The answer to your question is the letter B. 27
Step-by-step explanation:
Data
The Radius of large sphere = 3 times the size of the radius small sphere.
The Ratio of Volume = ?
Formula
Volume of a sphere = 4/3 πr³
Process
1.- Calculate the volume of the large sphere
Vl = 4/3 π(3r)³
2.- Calculate the volume of the small sphere
Vs = 4/3 πr³
3.- Calculate the ratio
Vl / Vs = [4/3π(3r³)] / [4/3 πr³]
- Simplification
Vl / Vs = 3³r³ / r³
Vl / Vs = 27
In other words, you are looking for which one is the biconditional statement.
A: This is true. Both the Conditional and Converse Statements are true. The Biconditional Statement would be this: The angles are bisected if and only if the angles have two congruent parts. This is true.
B: This is false. It is true as a conditional statement, but if you flip the p and q, it says that ALL acute angles are 60 degrees. This isn't true because a 35 degree angle or a 89 degree angle is also acute.
C: This is False. The conditional statement isn't true. The Converse statement is true but because the conditional statement is not then it is false. You can have two angles the aren't touching and they would be supplementary.
D: This is False. The Conditional Statement is True but the converse is not. Not all congruent angles are vertical angles. You can have two angles that equal 90 degrees that form a line (supplementary) but they aren't vertical angles.
Therefore, your answer is A.
Answer:
c.12
Step-by-step explanation:
you do 33-9 which gets you 24. You then divide that by 2 so you get 12.
C(h)=175+5h
C(h) is in dollars and h is in hours.
This is the same question as from DINW 220, but I will answer.
This form of the straight line is an equation through the two points and it reads => y-y1= (y2-y1)/(x2-x1) (x-x1), point 1 (-16,8) and poin2 (4, -2) , x1= -16, y1= 8, x2= 4 and y2= -2 =>
y-8 = (-2-8)/(4-(-16)) (x-(-16)) => y-8= -10/(4+16) (x+16) =>
y-8= (-10/20) (x+16) If we simplify fraction (-10/20) we get (-1/2) =>
y-8=(-1/2) (x+16) we will multiply the both sides of the equation with number (2) we get 2y-16= ( -1) (x+16) => 2y-16= -x -16, we will add to the both sides number (+16) => 2y= -x than divide the both sides with number (2) we get y= (-1/2)x where -1/2 is coefficient of direction or (slope) and this linear function have not cut on the y axis, because it goes through a coordinate start ( 0,0) in the decartes coordinate system.