Answer:
radius = 6 cm
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ← r is the radius
Given V = 288π, then
πr³ = 288π
Multiply both sides by 3 to clear the fraction
4πr³ = 864π ( divide both sides by 4π )
r³ = 216 ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Thus the radius of the sphere is 6 cm
As it has been given that 
, 
.
We need to find the value of the following:
(i) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(ii) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(iii) 
, we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,
Using the distributive property of multiplication:
Now, we know that 
We get, 
Therefore, =
.
(iv) We have, 
, we need to substitute the value of 'x' and 'y' in the expression, we get:
Again, we can use distributive property of multiplication that says,
So,
since, 
we get,
Therefore,
Answer:
1, p = -0.5
Step-by-step explanation:
2(p+5) = 4 - 10p
2p+10 = 4 - 10p
2p + 10p = 4 - 10
12p = -6
p = -6/12
p = -0.5
2(-0.5+5) = 4 - 10(-0.5)
-1 + 10 = 4 + 5
9 = 9
Answer:
400
Step-by-step explanation:
240 is 60% of 400. That means that 400 people are in the class hope this helps.
