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:
5 times
Step-by-step explanation:
If we have to determine the number of times the lights will blink at the same time, we have to find Least common multiple (L.C.M) of 5, 12, and 6 seconds.
5 = 1 x 5
12 = 1 x 2 x 2 x 3
6 = 1 x 2 x 3
The L.C.M of 5, 6, and 12 is = 2 x 2 x 3 x 5 = 60
The three lights will be turned on after 60 seconds or 1 minute.
The lights will be turned on in 1 minute 1 time
The lights will be turned on in 5 minutes (1*5) times = 5 times
Answer:
The percent error in the meteorologist's forecast for Monday is 5.26316 %
Step-by-step explanation: