To find the GCF:
-- List the factors of the first number.
-- List the factors of the second number.
-- Make a short list of the factors that show up for BOTH numbers.
-- Find the biggest number on the short list.
Factors of the first number (99): <u>1</u>, 3, 9, <u>11</u>, 33, 99 .
Factors of the second number (121): <u>1</u>, <u>11</u>, 121 .
Short list (factors that show up for both numbers): 1, 11
Biggest number on the short list: <em>11</em>
Answer:
1. area of new pen = 11

2. i. 5 feet by 2
feet
ii. 2 ½ feet by 4 ½ feet
Step-by-step explanation:
The size of the pen as planned = 5 ft long by 4 ½ ft wide
Area of the pen = length x width
= 5 x 4 ½
= 5 x 
Area of the pen = 
= 22 ½ 
But, Krista has to make the pen ½ the size of planned. So that;
area of new pen = ½ x 22 ½
= ½ x 
= 
= 11 
area of new pen = 11

The area of the new pen would be 11
.
The possible values she could use are:
i. 5 feet by 2
feet
ii. 2 ½ feet by 4 ½ feet
The answer is 3
5x = 16-1
5x = 15
x = 3
Answer: 92.84
Step-by-step explanation:
32 + 1.8° Celsius = 92.84° Fahrenheit
In the
plane, we have
everywhere. So in the equation of the sphere, we have

which is a circle centered at (2, -10, 0) of radius 4.
In the
plane, we have
, which gives

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the
plane,
, so

which is a circle centered at (0, -10, 3) of radius
.