Answer:
A = 160 cm²
Step-by-step explanation:
The area (A ) of a rhombus is calculated as
A = 0.5 × product of diagonals, that is
A = 0.5 × 16 × 20 = 160
Ratio of the length of the tile to the length of the board is 1:2
Ratio of the area of the tile to the area of the board is 1:4
Step-by-step explanation:
- Step 1: Find ratio of length of the tile to the length of the board
Length of the tile = 1/4 ft
Length of the board = 1/6 yd = 1/6 × 3 = 1/2 ft (∵ 1 yd = 3ft)
∴ Ratio of length of the tile to length of the board = 1/4 : 1/2 = 1/4 × 2/1 = 1:2
- Step 2: Find the ratio of area of the tile to area of the board
Area of the tile = Length × Width = 1/4 ft × 1/4 ft = 1/16 ft²
Area of the board = Length × Width = 1/6 yd × 1/6 yd
= 1/2 ft × 1/2 ft (∵ 1 yd = 3 ft)
= 1/4 ft²
⇒ Ratio of the area of the tile to the area of the board = 1/16 : 1/4
= 1/16 × 4/1 = 1:4
<h3>
Answer: Finite Set</h3>
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.
360 ft * 160ft = 57,600 ft squared
I'm not sure, this question was kind of confusing
Answer:
m = 4
Step-by-step explanation:
-16 = -6m + 2m
Add -6m and 2m.
-16 = -4m
Divide both sides by -4.
4 = m, or m = 4.
Proof:
-16 = -6m + 2m
Substitute variable.
-16 = -6(4) + 2(4)
Multiply -6 and 4.
-16 = -24 + 2(4)
Multiply 2 and 4.
-16 = -24 + 8
Add -24 and 8.
-16 = -16.