Answer:
1.2 cm
Step-by-step explanation:
Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).
The area of circumscribed quadrilateral is
where 
is semi-perimeter and r is radius of inscribed circle.
In your case, 
If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so
so
Now
Answer:
Twelve less three times a number is at least nine.
Twelve minus the product of three and a number is no smaller than nine.
Step-by-step explanation:
complete question is:
Twelve less than three times a number is greater than or equal to nine.
Twelve less than three times a number is at least nine.
Twelve less three times a number is at least nine.
Twelve minus the product of three and a number is no more than nine.
Twelve minus the product of three and a number is no smaller than nine.
ANSWER:
<u>Twelve less three times a number is at least nine.</u>
The phrase "twelve less three..." means that the "three times a number" is being subtracted from twelve. So, it has to be at least nine.
<u>Twelve minus the product of three and a number is no smaller than nine.</u>
Even the least number you suppose is 1 we'll get 9
e.g: 12-3(1)=9. Therefore, this statement also represent the inequality
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
-----> the cosine is the adjacent side to angle A divided by the hypotenuse
substitute the values and solve for x
3t+1
The t stands for tent, and is being multiplied by 3 because there is always going to be 1 tent for every 3 campers. Plus one, for the camp leader.
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
