Answer:
Real number
Rational number
Step-by-step explanation:
Answer:
59 degrees
Step-by-step explanation:
180 - 126 = 54
6x-1 + 5x + 17 +54 =180
11x + 70 = 180
11x = 180 -70
11x = 110
x =10
Therefore
6(10) - 1 = 59 degrees
Answer:
a. 277.3 m²
b. $307.86
Step-by-step explanation:
a. Area of the wall to be painted = area of rectangle - area of triangle
= L × W + ½×a×b×sin θ
L = 17 m
W = 14 m
a = 8.7 m
b = 9.5 m
θ = 72°
Plug in the values into the equation
Area of the wall = (17×14) + (½*8.7×9.5×sin 72)
Area of the wall = 238 + 39.3024105
Area of the wall to paint ≈ 277.3 m²
b. 20 liters of paint of 1 container cost $21.99
If 1 liter of paint covers 1m², therefore,
277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.
20 liters = 1 container of paint
277.3 liters = 277.3/20 = 13.865 ≈ 14 containers
1 container = $21.99
14 containers = 21.99 × 14 = $307.86
Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:

where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as
.
We can plug that definition of w into the perimeter equation to find the length:

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

So the width is 18