Answer:
Step-by-step explanation:
(1) As definition, the area (
) of a circle is calculated by:
x 
with 
is radius of circle.
(2) The relation between radius () and diameter (
) of a circle is:
= 2 x
(3) Applying the Pythagorean theorem for a square with sides of length 
,
the relation between side and diagonal 
is:
=> The diagonal () of that square is calculated by:
= 
(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.
Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.
In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.
It means that the diagonal BD is coincide with a diameter of circle.
=> 
or 
x =
or = 
Substitute back into original formula used for calculating the area of circle:
=> A = 
x 
= x 
=> 
x 
=> 
x 
= 
x = 5.97 cm
Hope this helps!
:)
Answer:
1.Equation ----- 8x=12
2. x=1.5
3. cost of a single song is $1.5
4.$12 gift card will download 8 songs
Step-by-step explanation:
The amount of money the gift card holds is $12
Number of songs bought= 8 songs
Let the cost of a single song to be =$x
The cost of 8 songs will be =$x × 8=$ 8x
So the 8 songs will all cost $12
This means; $ 8x = $12
Equation------ 8x=12
Finding cost of a single song
8x=12------------------divide by 8 both sides
x=12/8------------------simplify
x=3/2 = $ 1.5
Checking for solution
if a single song costs $1.5 , who many songs can a gift card with $12 download?
Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.
Answer:
6x-5=59 answer
Step-by-step explanation:
6x=64
x=64/6
x=10.66
You have to multiply 7 3/4 to 9.
First, turn 7 3/4 to an improper fraction which is 31/4.
Next, you multiply 31/4 to 9/1(same thing as 9) across from each other.
Then, you get the answer 279/4(31 x 9 = 279 ;4 x 1 = 4; 279/4).
Last divide 279 to 4 and get 67.75( .75 = 3/4 ; 69 3/4).
Answer:
20 people
Step-by-step explanation:
Take the amout of bowls (25) and divide by the ratio (5)
25/5=5
Multiply 5 *4 = 20
25 bowls to 20 people = 25/20 = 5/4
