A 12 ft by 15 ft rectangular swimming pool has a 4 ft wide no slip surface around it. What is the outer perimeter of the no slip surface?
You are tiling a kitchen floor that is 13 ft. wide by 4 yd. long. How many square yards of tile do you need?
The length of the swimming pool including the no slip surface around it is 12 ft + 2 * 4 ft = 12 ft + 8 ft = <<12+2*4=20>>20 ft.
The width of the swimming pool including the no slip surface around it is 15 ft + 2 * 4 ft = 15 ft + 8 ft = <<15+2*4=23>>23 ft.
The outer perimeter of the no slip surface is 2 * (20 ft + 23 ft) = 2 * 43 ft = <<2*(20+23)=86>>86 ft. Answer: \boxed{86}.
What is the circumference of the circle below in terms of π
2.8
What is the perimeter of △PQR
with vertices P(-9,2), Q(-7,3) and R(3,2) . Round your answer to the nearest tenth.
To find the perimeter of triangle PQR, we need to calculate the distance between each pair of vertices and then sum them.
The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
So, let's calculate the distances between the vertices:
Distance PQ:
d₁ = √((-7 - (-9))² + (3 - 2)²)
= √(2² + 1²)
= √(4 + 1)
= √5
Distance QR:
d₂ = √((3 - (-7))² + (2 - 3)²)
= √(10² + (-1)²)
= √(100 + 1)
= √101
Distance RP:
d₃ = √((-9 - 3)² + (2 - 2)²)
= √((-12)² + 0²)
= √(144 + 0)
= √144
= 12
Now, let's sum the distances to find the perimeter:
P = √5 + √101 + 12 ≈ 24.2
Therefore, the perimeter of triangle PQR, rounded to the nearest tenth, is approximately 24.2.
To find the outer perimeter of the no slip surface around the rectangular swimming pool, we need to add the lengths of all four sides of the no slip surface.
First, we need to find the dimensions of the no slip surface. Since the swimming pool is 12 ft by 15 ft, and there is a 4 ft wide no slip surface around it, both the length and width of the no slip surface would be increased by 8 ft (4 ft on each side).
The length of the no slip surface would be the length of the swimming pool plus twice the width of the no slip surface:
12 ft + 2(4 ft) = 12 ft + 8 ft = 20 ft.
The width of the no slip surface would be the width of the swimming pool plus twice the width of the no slip surface:
15 ft + 2(4 ft) = 15 ft + 8 ft = 23 ft.
Now that we have the dimensions of the no slip surface, we can calculate the outer perimeter:
Outer perimeter = 2(length + width)
= 2(20 ft + 23 ft)
= 2(43 ft)
= 86 ft.
So, the outer perimeter of the no slip surface is 86 ft.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
In this case, we don't have the radius of the circle, but we have the diameter, which is twice the radius. So we can start by finding the radius by dividing the diameter by two:
r = diameter / 2 = 2.8 / 2 = 1.4
Now we can use the formula for the circumference:
C = 2πr = 2π(1.4) = 2 * 1.4 * π = 2.8π
Therefore, the circumference of the circle is 2.8π.