Answer
Find out the altitude of the equilateral triangle .
To proof
By using the trignometric identity.

As shown in the diagram
and putting the values of the angles , base and perpendicular


solving


As

put in the above
a = 4 × 3
a = 12 units
The length of the altitude of the equilateral triangle is 12 units .
Option (F) is correct .
Hence proved
There is only one answer to this equation. h=3/4
Answer:
0,-5
Step-by-step explanation:
Your answer is 0,-5
For the wooden box, if you do 7560 ÷ 180 you get 42. that's how many boxes you would need. multiply 42 by the cost of the wooden boxes: 42 × 0.70 you get 29.40 dollars
for the plastic container, do 7560 ÷ 126 which equals 60, the amount of plastic containers you would need. multiply 60 by the plastic containers cost: 60×40= 24 dollars.
to save money, the company should use the plastic containers because it costs less than the wooden ones.
Answer:
0.0035289
Step-by-step explanation:
From the question;
mean annual salary = $63,500
n = sample size = 31
Standard deviation = $6,200
Firstly, we calculate the z-score of $60,500
Mathematically;
z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941
So we want to find the probability that P(z < -2.6941)
We can get this from the standard normal table
P( z < -2.6941) = 0.0035289