Answer: <span>-x2 + 120x = 1,800
</span><span>
She plans on using the side of the barn as one side of her paddock so it has 3 sides. Since the width is shorter, it will be more efficient to have 2 widths (1 lengths and 2 widths). Because J</span><span>ill has 120 feet of fencing to use, you can get this equation:
120ft= 1L +2W
</span>1L= 120-2W
If you insert it into area formula it would be:
area= L*W
area= (120-2W) *W
area= 120W- 2W^2
-2W^2+120W= area
<span>Since x represent the width of the paddock and the area is 1800 the equation become
</span>-2X^2+120X= 1,800
Answer:
B
Step-by-step explanation:
Use the pythagorean theorem
a² + b² = c²
a² + 63² = 65²
a² + 3969 = 4225
a² = 256
a = 16
x = 16 meters
Answer:
The probability that Aaron goes to the gym on exactly one of the two days is 0.74
Step-by-step explanation:
Let P(Aaron goes to the gym on exactly one of the two days) be the probability that Aaron goes to the gym on exactly one of the two days.
Then
P(Aaron goes to the gym on exactly one of the two days) =
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) +
P(Aaron doesn't go to the gym on Saturday and goes on Sunday)
- If Aaron goes to the gym on Saturday the probability that he goes on Sunday is 0.3. Then If Aaron goes to the gym on Saturday the probability that he does not go on Sunday is 1-0.3 =0.7
- Since the probability that Aaron goes to the gym on Saturday is 0.8,
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) =
P(the probability that Aaron goes to the gym on Saturday)×P(If Aaron goes to the gym on Saturday the probability that he does not go on Sunday)
=0.8×0.7=0.56
- The probability that Aaron doesn't go to the gym on Saturday is 1-0.8=0.2
- And if Aaron does not go to the gym on Saturday the probability he goes on Sunday is 0.9.
Thus, P(Aaron doesn't go to the gym on Saturday and goes on Sunday) = P(The probability that Aaron doesn't go to the gym on Saturday)×P(if Aaron does not go to the gym on Saturday the probability he goes on Sunday)
=0.2×0.9=0.18
Then
P(Aaron goes to the gym on exactly one of the two days) =0.56 + 0.18 =0.74
Answer:
7
Step-by-step explanation:
