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


Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property



ft
Hence, the height of fire hydrant=3 ft
For this case we can solve the problem by means of the following rule of three:
94 --------> 100%
17 --------> x
Clearing x we have:
x = (17/94) * (100)
x = 18,08510638%
To the nearest tenth of a percent:
x = 18.1%
Answer:
This is 18.1% of his compact discs.
Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.
So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
let us assume that complete sets are X.
ATQ,
5x + 4 ≥ 3x + 14
subtracting 3x from both sides.
5x -3x + 4 ≥ 14
2x + 4 ≥ 14
subtracting 4 from both sides
2x ≥ 14 - 4
2x ≥ 10
dividing both sides by 2
x ≥ 5 Answer
So correct answer option is C
Answer:
The surface area of the drum is 3317.5218 square inches.
Step-by-step explanation:
Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

The surface area of the drum is 3317.5218 square inches.