<span>1, 2, 3, 5, 6, 10, 15, 30 represent the factors of 30, the GCF. </span>
Answer:
35 mi²
Step-by-step explanation:
Let's subdivide the figure, as shown.
The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².
The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.
Area of trapezoid:
12 mi + 18 mi
------------------------ = 15 mi Width of trapezoid = 3 mi
2
Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²
and the total area of the entire figure is
45 mi² + 90 mi² = 135 mi²
The dimensions of the bathroom floor is given as 2 yards by 3 yards.
Then
The area of the bathroom floor in question = (2 * 3) square yards
= 6 square yards
We already know that
1 square yard = 9 square feet
So
The area of the bathroom floor in question = (6 * 9) square feet
= 54 square feet
Area covered by each custom tiles = 11/2 square feet
Then
Number of tiles required to cover the bathroom floor = 54/(11/2)
= (54 * 2)/11
= 108/11
= 9.81
So the number of tiles required to cover the bathroom flooring is 10. Since fraction of tiles cannot be bought, so 10 tiles are required.
Answer:
The distance from the house to the school is 500 units
Step-by-step explanation:
The distance we want to calculate represents the hypotenuse of the right triangle
So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse
The base side measures (350-50 = 300 units)
The measure of the height is (450-50 = 400 units)
Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have it that;
h^2 = 300^2 + 400^2
h^2 = 90,000 + 160,000
h^2 = 250,000
h = √250,000
h = 500 units
Square root of 46 to the nearest hundredth is 6.78