Answer:
the answer would be -21 - (-22 1/2)= 1 1/2
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
#SPJ4
Answer: (a) 9
Step-by-step explanation:
We are given that ,
The first two classes of a frequency distribution are 0-9 and 10-19.
We know that the class width of an class interval is basically the difference between the upper limit and the lower limit of the interval.
For example the class interval for interval 40 - 45 is 5 because 45-40=5.
For the given class interval 0-9 , upper limit= 9
Lower limit =0
⇒ Class width = 9-0= 9
Similarly , for 10-19 , the class width = 19-10=9
Therefore , the class width is 9 .
Hence, the correct answer is (a) 9.
A
rational number is a number which can be expressed as a fraction whose
numerator and denominator are both integers and whose denominator is not equal
to zero. Rational numbers include all integers, fractions, mixed numbers, and
some decimal numbers.
Note : All terminating and repeating decimal
numbers are rational numbers because those numbers can be expressed as a
fraction. On the other hand, a non repeating number and non terminating
decimal, like square root of 2, is an irrational number.
