Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.
1/100
Each meter is 100 centimeter
Answer is x² + 2x + 5
<u>Step-by-step explanation:</u>
Step 1:
Add the two polynomials
⇒ (2x + 7) + (x² - 2) = 2x + 7 + x² - 2 = x² + 2x + 5
The triangle formed by the vertices would be equilateral if the sides of the triangle coincide with the diagonals of the square face that defines the cube. See the attached sketch if that description is unclear.
Count the number of equilateral triangles that are possible. Such a triangle will always use up 3 vertices of the cube, and separate 1 vertex from the remaining 4. This means there are as many equilateral triangles as there are corners in the cube: 8.
Count the total number of triangles that can be made. From the 8 available vertices, we only need 3. If we fix 3 vertices, it doesn't matter in which order we connect them to make a triangle, so we count the number of combinations of 8 vertices taking 3 at a time, which is

Then the probability of forming an equilateral triangle is 8/56 = 1/7.