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? (Draw a picture to help you)(1 point)
Responses
70 ft2
70 ft
86 ft2
86 ft
thank you, you've been a great help, however, the answer to the first question was actually 86 ft
What is the circumference of the circle below in terms of π
?
the image is a circle with a radius of 2.8
(1 point)
Responses
7.84π
7.84pi
1.4π
1.4pi
2.8π
2.8pi
5.6π
5.6pi
The circumference of a circle is given by the formula: C = 2πr, where r is the radius of the circle.
In this case, the radius of the circle is given as 2.8. So, plugging this value into the formula, we get:
C = 2π(2.8) = 5.6π.
Therefore, the circumference of the circle is 5.6π.
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. (1 point)
Responses
24.2 units
24.2 units
19.8 units
19.8 units
27.6 units
27.6 units
5.6 units
To find the perimeter of triangle PQR, we need to calculate the lengths of all three sides and then sum them up.
Using the distance formula:
The distance formula is given by √((x2 - x1)^2 + (y2 - y1)^2)
The distance between P(-9,2) and Q(-7,3) can be calculated as:
d(PQ) = √((-7 - (-9))^2 + (3 - 2)^2) = √(2^2 + 1^2) = √(4 + 1) = √5
The distance between Q(-7,3) and R(3,2) can be calculated as:
d(QR) = √((3 - (-7))^2 + (2 - 3)^2) = √(10^2 + (-1)^2) = √(100 + 1) = √101
The distance between R(3,2) and P(-9,2) can be calculated as:
d(RP) = √((-9 - 3)^2 + (2 - 2)^2) = √((-12)^2 + 0^2) = √144 = 12
Now, we can sum up the lengths of all three sides:
Perimeter = PQ + QR + RP = √5 + √101 + 12
Since we are asked to round the answer to the nearest tenth, we can use a calculator to find the approximate value:
Perimeter ≈ 24.2 units
Therefore, the perimeter of triangle PQR is approximately 24.2 units.
To find the area of the kitchen floor in square yards, we need to convert the dimensions to the same unit.
The width of the kitchen floor is given as 13 ft. We know that 1 yard is equal to 3 feet, so we can convert the width to yards by dividing it by 3:
13 ft / 3 = 4.33 yd (rounded to the nearest hundredth).
The length of the kitchen floor is given as 4 yd, so no conversion is needed.
Now, we can calculate the area:
Area = width * length = 4.33 yd * 4 yd = 17.32 yd^2 (rounded to the nearest hundredth).
Therefore, you would need approximately 17.32 square yards of tile for the kitchen floor.
You are tiling a kitchen floor that is 13 ft. wide by 4 yd. long. How many square yards of tile do you need?(1 point)
Responses
13 1/3 yd squared
17 1/3 yd squared
52 yd squared
40 yd squared
To find the area of the kitchen floor in square yards, we need to convert the dimensions to the same unit.
The width of the kitchen floor is given as 13 ft. We know that 1 yard is equal to 3 feet, so we can convert the width to yards by dividing it by 3:
13 ft / 3 = 4.33 yd (rounded to the nearest hundredth).
The length of the kitchen floor is given as 4 yd, so no conversion is needed.
Now, we can calculate the area:
Area = width * length = 4.33 yd * 4 yd = 17.32 yd^2 (rounded to the nearest hundredth).
Therefore, you would need approximately 17.32 square yards of tile for the kitchen floor.
The diameter of circle Z is 7 in. What is the area in terms of π
?(1 point)
Responses
7π
12.25π
3.5π
8π
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.
Given that the diameter of circle Z is 7 in, we can find the radius by dividing the diameter by 2:
r = 7 in / 2 = 3.5 in.
Plugging this radius into the formula, we get:
A = π(3.5)^2 = 12.25π.
Therefore, the area of circle Z is 12.25π.