Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Answer:
The function 
is represented by 
.
Step-by-step explanation:
Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:
(Eq. 1)
Where:
- Atmospheric pressure at sea level, measured in kilopascals.
-Atmospheric pressure decrease rate, dimensionless.
- Height above sea level, measured in kilometers.
- Current pressure, measured in kilopascals.
If we know that 
and 
, the function is represented by:
