Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
(x-3)(3x+7)=0
x-3=0 or 3x+7=0
1. x-3=0
x₁=3
2. 3x+7=0
3x=-7
x₂=-7/3 = -2(1/3)
Answer:
Length of the garden= 7 feet while the width =28 feet
Step-by-step explanation:
Let the length of the garden be L while the width represented as W
From the question, we deduce the following:
W = 4L
Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives
70 = 2(L + 4L)
70 = 2(5L)
70 = 10L ... dividing both sides by 10 gives
L = 7
Recall from the first equation that W = 4L
W = 4 * 7 =28
Answer:
56
Step-by-step explanation:
Factors of 39: 1, 3, 13, 39.
39+13+3+1=
39+4=43
43+13=58
Answer:
false
Step-by-step explanation:
