Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
Area is calculated by multiplying length by width. Since we are given the width, we can test each length and see if the product matches the rectangle's area.
(2m - 3)(4m - 4) = 8m² - 20m + 12 ≠ 8m² + 4m - 12
(8m - 3)(4m - 4) = 32m² - 44m + 12 ≠ 8m² + 4m - 12
(2m + 3)(4m - 4) = 8m² + 4m - 12
(8m + 3)(4m - 4) = 32m² + 20m - 12 ≠ 8m² + 4m - 12
The length of the rectangle must be 2m + 3. Another method of solving this would be to divide the area by the width, or 8m² + 4m - 12 ÷ 4m - 4.
Answer:
b
Step-by-step explanation:
its 5 bc 6
Answer:
<em>441</em><em> number of cubic blocks will fill the rectangular prism.</em>
Step-by-step explanation:
Volume of rectangular prism is,
Putting all the values,
Volume of cubic block is,
Putting all value,
Number of cubic blocks that can fill the rectangular prism is,
