Answer:

where w is width of rectangle.
Step-by-step explanation:
We are given the following in the question:
The perimeter of a rectangle must be less than 170 feet.
Length of rectangle = 44 feet
Perimeter of rectangle =

Let w be the width of rectangle.
According to the question,

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

Answer: 1/2
Step-by-step explanation:
The sample space when a six sided die is thrown once is :
{ 1,2,3,3,5,6}
The even numbers are :
{2,4,6}
Therefore :
P(even) = n(even) / total number
That is
P(even) = 3/6
P(even) = 1/2
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
Answer:
A
Step-by-step explanation:
multiply 5/3 by 2 you should get 10/6 and then you simplify it out the fraction is 1 and 4/6
12/6 is 2
and you do not need to do anything with 1