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:
x = 28.744
Step-by-step explanation:
Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.
Tan(32)=x/46
Tan(32)46=x
28.744=x
Answer:
$3,000
Step-by-step explanation:
There two possible outcomes:
There is a 3/4 chance that the bid is rejected for a value of -$1,400
There is a 1/4 chance that the bid is accepted for a value of $17,600 - $1,400.
The expected value of the situation is:

The expected value is $3,000.
Answer:
1/2
Step-by-step explanation:
8(1/2)^4
= 8 * 1 / 2^4
= 8/(2*2*2*2)
= 8/16
= (8*1) / (8*2)
= 1/2
Answer:
11x11x11=11³
Step-by-step explanation:
11 to the third means 11 times itself 3 times