The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Step-by-step explanation:
DB length = 5 1/4 + 2/3
=21/4 + 2/3
= 63/12 + 8/12 = 71/12
CD length = 5 1/4 -2 = 3 1/4
Answer:
Polynom degree: 5
Y intercept point: (0, 80)
Step-by-step explanation:
P(x)=(x+5)(x+4)²(x+1)²
When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.
The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)
Answer:
3,9
Step-by-step explanation:
Factors of 36 = 1,2,3,4,6,9,12,18,36
Those factors which are odd = 1,3,9
Odd Factors which are multiple of 3 = 3,9
So, these are the two numbers Margret might be thinking of.
Estimate:
Bill = $20 approximately.
5% tax on $20 = 20/20=$1
20 % on ($20) = $4
Total cost = $20+1+4 = $25
Total bill = $25 approximately.
Exact calculations
bill = 19.68
tax 5% = 0.98
Tip 20% of original = 3.94
Total bill = 19.68+0.98+3.94 = 24.60
