The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
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Answer:
y = -0.2x - 5.8
Step-by-step explanation:
If a line is given in the form y = mx + b, the "m" is the slope.
For the line given y = 5x, the slope is 5
The line that is perpendicular to this will have slope that is "negative reciprocal of that".
So, the perpendicular line will have slope of 
So, the Perpendicular Line will have equation:
y = -1/5x + b
Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

So the equation of perpendicular line = y = -0.2x - 5.8
Answer:
91cm2 (or just 91)
Step-by-step explanation:
the area of the square is 49, and 1 triangle is 14 you have to add all 3 triangles plus the square(or the base).
Answer: first question answer is 3x^3+6x^2-24x+27
Second question answer=a^2-ab
Step-by-step explanation: