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
Answer:
B
Step-by-step explanation:
in a 30,60,90 triangle the longer leg is rt3 times the value of the shorter leg and the hypotenuse is 2 times greater than the shorter leg.
Unfortunately, this info does not produce a "nice" result; 122 divided by 11 comes out to 11 rows plus one seat either in a row by itself or not: 1
122 seats
--------------- = 11 rows plus 1 seat left over
11 rows
The area of the pen is the products of its dimensions
- The dimension of the pen is 300 by 120 feet
- The maximum area of the pen is 36000 square feet.
Let the dimension of the fence be x by y.
So, we have:
<em />
<em> --- perimeter</em>
<em />
<em> -- area</em>
<em />
Subtract 5y from both sides of 

Divide both sides by 2

Substitute
in 


Split

Differentiate

Set to 0

Add 5y to both sides

Divide both sides by 5

Substitute
in 




Recall that:

So, we have:


Hence, the maximum area of the pen is 36000 square feet.
Read more about maximum areas at:
brainly.com/question/11906003
The least common multiple for 3, 4, 5, 6, 10, and 15 is 60.