For this one, i’ll explain. set it up so it looks like this : 8-4+7+3-11, and then simplify.
Answer: Length is 30 feet and width is 7 feet.
Step-by-step explanation: The dimensions of the rectangle are not given, but the clues given in the question are such that, if the width is W, then the length would be two feet more than four times the width. In other words, the length would be, two plus four times the width, which can be expressed as
2 + 4W. The perimeter given as 74 feet is calculated as
Perimeter = 2(L + W)
If perimeter equals 74, length equals 2 + 4W and width equals W, then the perimeter can be expressed as
74 = 2(2 + 4W + W)
74 = 2(2 + 5W)
74 = 4 + 10W
Subtract 4 from both sides of the equation
70 = 10W
Divide both sides of the equation by 10
W = 7
Hence, if the width is 7, the length would be calculated as
Length = 2 + 4W
Length = 2 + 4(7)
Length = 2 + 28
Length = 30.
Therefore the length equals 30 feet and the width equals 7 feet.
18^2 = 324
13^2 = 169
14^2 = 196
324 < 169 + 196 ( < 365)
so the triangle is acute
3.) 3sinθ = sinθ - 1
3sinθ - sinθ = -1
2sinθ = -1
sinθ = -1/2
θ = sin^-1(-1/2) = π + π/6, 2π - π/6 = 7π/6, 11π/6
4.) tan^2 θ = -3/2 sec θ
sin^2 θ / cos^2 θ = -3/2(1/cos θ)
sin^2 θ / cos θ = -3/2
1 - cos^2 θ = -3/2 cos θ
cos^2 θ - 3/2 cos θ - 1 = 0
2cos^2 θ - 3cos θ - 2 = 0
2cos^2 θ - 4cos θ + cos θ - 2 = 0
2cos θ (cos θ - 2) + 1(cos θ - 2) = 0
(2cos θ + 1) = 0 or (cos θ - 2) = 0
cos θ = -1/2 or cos θ = 2 [but cos θ can never be 2]
θ = cos^-1(-1/2) = π - π/3, π + π/3 = 2π/3, 4π/3
Answer:
mean is 29.78
median is 16
Step-by-step explanation:
Mean== add up all the numbers then divide by how many numbers you added up
So 268 divided by 9= 29.7777... rounded to 29.78
Median= put the numbers in order from least to greatest and mark off one from the low end then one from the high end until you find the middle. Since there are an odd amount of numbers, there will be exactly one left in the middle,
8,9,15,15,16,18,22,25,140
