Answer: 80/3
Step-by-step explanation:
We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h
The answer for the length of the altitude is 7 feet.
Answer:
The first four terms of the above sequence are 1, 6, 11, 16.
Step-by-step explanation:
A sequence is defined by the function f(n)=f(n-1)+5.
Where n represents the number of the term for n>1
First Put n = 2
f(2)=f(2-1)+5.
= f (1) + 5
= -4 + 5
= 1
Second Put n = 3
f(3)=f(3-1)+5.
= f (2) + 5
= 1 + 5
= 6
Third Put n = 4
f(4)=f(4-1)+5.
= f (3) + 5
= 6+ 5
= 11
Second Put n = 5
f(5)=f(5-1)+5.
= f (4) + 5
= 11 + 5
= 16
Therefore the first four terms of the above sequence are 1, 6, 11, 16.
Answer:
Step-by-step explanation:
<u>Given</u>
a)
- DC /AB = 3/2 ⇒
- DC = 3/2AB = 3/2p
b)
- BC = AD + (DC - AB)
- BC = q + (3/2p - p) = q + 1/2p
Answer:
Part 1) The area is 
Part 2) The circumference is 
Step-by-step explanation:
step 1
Find the area
we know that
The area of a circle (circular tablecloth) is equal to
we have
------> the radius is half the diameter
substitute
step 2
Find the circumference
we know that
The circumference of a circle (circular tablecloth) is equal to
we have
substitute
