Answer:
$42.99
Step-by-step explanation:
$39.99 + $3= $42.99
Answer: 62.
Step-by-step explanation: The mean is the average. In order to find the average, we need to add all of the numbers up, then divide by the number of quizzes. So:
20 + 40 + 40 +40 + 60 + 60 + 60 + 60 + 80 + 80 + 80 + 80 + 100 = 800
800 / 13 = 61.5, appr. 62.
Answer:
2100
Step-by-step explanation:
5/210=50/x
x= 50*210 / 5
x= 2100
Answer:
By definition, the derivative of f(x) is
Let's use the definition for 
Then, 
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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