As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as

So, the volume of a quarter-sphere is

Answer:
- Length of rectangle is 31 yards and Width is 24 yards.
Given:
- The length of a rectangle is 7 more than the width.
- The area is 744 sqaure yards
Solution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula

On Substituting the required values, we get;

As we know that width of the rectangle can't be negative. So x = 24
<u>Hence</u>,
- Width of rectangle = x = 24 yards
- Length of the rectangle = x + 7 = 31 yards
Length of rectangle is 31 yards<u> </u>and Width is 24 yards.
22b+17s ≤ 80
Where b is cost of belt,s is cost of shirt .
U can put some values foe b and c their sum always less and maximum would be 80
Answer:
30,000
Step-by-step explanation:
5,000 in 6 months therefore 10,000 in one year and 30,000 in 3 years
Answer:
Caleb’s error was :
instead of selecting the least exponent ,Caleb took the highest exponent.
Step-by-step explanation:
3x² = 3 • x • x
(in this factorization the exponent of 3 is 1 and the exponent of x is 2)
9x = 3 • 3 • x
(in this factorization the exponent of 3 is 2 and the exponent of x is 1)
• The common factors of 3x² and 9x are 3 and x
In order to determine the GCF ,we have to Compare the exponents of the common factors then take the numbers which have the least exponent value.
• in the factorization of 3x² the exponent of 3 is 1
and in the factorization of 9x the exponent of 3 is 2
The least exponent is 1 Then we take it.
• in the factorization of 3x² the exponent of x is 2
and in the factorization of 9x the exponent of x is 1
The least exponent is 1 Then we take it.
<u><em>Conclusion</em></u>:
GCF(3x² , 9x) = 3¹ × x¹ = 3x