Answer:
130.43 cm³
Step-by-step explanation:
To find the difference between the volumes of the balls, we must first find the volumes of the balls. To find the volume of each ball, we must first determine their shape. We understand that both balls are spherical.
The volume V of a sphere wit radius r is given as
V = 4/3 πr³
where r is the result when the diameter of the sphere is divided by 2.
Hence the radius of the Golf ball
= 4.3cm/2
= 2.15cm
radius of the tennis ball
= 6.9cm/2
= 3.45cm
The difference between the volumes of the two balls
= 4/3 π (3.45³ - 2.15³)
= 130.43 cm³
Answer:
Step-by-step explanation:
1. (sq root of) a^2 if a>0 => √(a^2) = ±a
2. (sq root of) 36x^2 if a>0 => ±6x
17) 388 in^2
18) 585 in^2
19) 960 ft^2
*fyi- ^2 means squared just in case you didn’t know also hope the picture helps!
Answer:
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Step-by-step explanation:
The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2
Therefore, we have;
-4·x - 6 = -5·y + 2
-5·y + 2 = -4·x - 6
-5·y = -4·x - 6 - 2 = -4·x - 8
Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5
y = 4/5·x + 8/5
Which gives;
g(x) = y = 4/5·x + 8/5
Therefore;
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
