Answer:
50.29 square inches.
Step-by-step explanation:
Given:
Sara is cutting circles out of pieces of cardboard.
She uses a rectangular piece of cardboard that is 8 inches by 10 inches.
Question asked:
What is the area of the largest circle she could make?
Solution:
Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.
Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:
Breadth = Diameter = 8 inches ( given )
Radius = half of diameter ,
Therefore, area of the largest circle she could make is 50.29 square inches.
Answer:
I would recommend using photo math its faster and easier I promise!! ;)
Answer:
<u>The first option is </u>
<u>The second option is:</u>
- B(0) = 1000
- B(1) = 1100
- The ratio is 1.1 and the zero term is 1000
<u>The equation for this option is:</u>
Now, which option is better?
It depends on the number of x. It is assumed the genie is offering money or similar reward.
For the values of x below 50 option A is better and option B is much better for x > 50.
See the graph in the attachment, where green line represents the option A and red line is option B.
Answer:
<em>$4.15</em>
Step-by-step explanation:
Let the cost of a cheeseburger be x
Let the cost of a soft pretzels be y
If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;
x + 2y = 8.25 .... 1
Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;
3x + y = 13. 50..... 2
The required equations are:
x + 2y = 8.25
3x + y = 13. 50
Find x and y by solving simultaneously:
From 1: x + 2y = 8.25
x = 8.25 - 2y ..... 3
Substitute 3 into 2
3(8.25-2y)+y = 13.50
24.75 - 6y+y = 13.50
24.75 - 5y = 13.50
-5y = 14.50 - 24.75
-5 y = 10.25
y = -10.25/-5
y = 2.05
Since x = 8.25 - 2y
x = 8.25 - 2(2.05)
x = 8.25 - 4.1
x = 4.15
<em>Hence the cost of a cheesburger is $4.15</em>
