Answer:AB=15 ,angle A=53.1°,angle B=36.9°
Step-by-step explanation:
AB=√(12^2+9^2)
AB=√(12x12+9x9)
AB=√(144+81)
AB=√(225)
AB=15
TanA=12/9
TanA=4/3
A=Tan(inverse)(4/3)
A=53.1° angle A=53.1°
angle B=180-(90+53.1)
angle B=180-143.1
angle B=36.9°
330987894/2825 you can check your answers by using a calculator such as online cal.
6xyz(3x+2y+z...................
The perimeter is equal to 60 feet and has the formula:
Perimeter = 2 l + 2 w
60 = 2 l + 2 w
The area is equal to 200 square feet and has the formula:
Area = l w
200 = l w
Rewriting area in terms of l:
l = 200 / w
Combining this with the perimeter formula:
60 = 2 (200 / w) + 2 w
60 = 400 / w + 2 w
Multiplying all by w:
60 w = 400 + 2 w^2
Dividing by 2 and rearranging:
w^2 – 30 w = - 200
Completing the square:
(w – 15)^2 = - 200 + (-15)^2
(w – 15)^2 = 25
w – 15 = ±5
w = 10, 20
Hence the dimensions of the garden is 10 feet by 20 feet
Answer: Mode = 12
Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).
