Answer:
The ratio of the areas is
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
and
the scale factor is equal to the ratio of its corresponding sides
Let
z------> the scale factor
In this problem we have
-------> scale factor
The ratio of the areas is equal to
To solve this problem you must apply the proccedure shown below:
1- The ladder forms an isosceles triangle, because it has two equal sides.
2- Let's call the angle . To calculate it , you can divide the triangle into two equal right triangles and the angle
will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:
The answer is:
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA = pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA = (24)(5) + 36
SA = 60 + 36 = 96 ft²
Answer:
Step-by-step explanation:
step 1
Convert mixed number to an improper fraction
step 2
Using proportion
step 3
Convert to mixed number