12
because it is the only number that appears more than once which is basically the definition of mode.
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²
The area of the pentagon is 1453 square centimeters.
Answer:
60 inches
Step-by-step explanation:
The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.
<h3>Rectangle dimensions</h3>
The square has a side length of ...
P = 4s ⇒ s = P/4 . . . . . P is perimeter, s is side length
(60 in)/4 = 15 in . . . . length of the side of the square
The square has an area of ...
A = s²
A = (15 in)² = 225 in²
When 1 tile is removed, the resulting area, in square inches, is ...
A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16
<h3>Perimeter</h3>
The perimeter of a rectangle is given by ...
P = 2(L+W)
For this rectangle, the perimeter is ...
P = 2(14 in + 16 in) = 2(30 in) = 60 in
The perimeter of the rectangle is 60 inches.
An equilateral shape is a shape that has all congruent sides.
<em>Sandy has a greater probability of selecting an equilateral shape</em>
Given
Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>
Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>
All three shapes in Sandy's shape bucket are equilateral.
So, the probability that Sandy picks an equilateral shape is 1
All five shapes in Robert's shape bucket are non-equilateral.
So, the probability that Robert picks an equilateral shape is 0
By comparing the probabilities:
<em>1 is greater than 0</em>
Hence, Sandy is more likely to pick an equilateral shape than Robert.
Read more about probabilities at:
brainly.com/question/24297863
Answer:
<em>The water is leaking at the rate of 0.0625 gal/min.</em>
Step-by-step explanation:
<u>Rate of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.
When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.
Calculating the rate at which it's leaking:
r = 0.0625 gal/min
The water is leaking at the rate of 0.0625 gal/min.
