Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
The cities are 12.2 miles apart
<u>Step-by-step explanation:</u>
The scale of the map is,
5cm = 10 miles
The distance between the 2 cities in map is 6.2 cm
The actual distance between the 2 cities = (6.2 x 10) / 5
= 62/5
= 12.4
The 2 cities are 12.4 miles apart.
Answer:
do you still need this answered?
Step-by-step explanation:
Answer:
x1.20
y0.75)
Step-by-step explanation:
you have to simplify
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.


Take positive square root of both sides

Split:


Recall that the side length (l) is rational.
However,
is irrational.
So, the product of l and
will be irrational
Hence:
The diagonal is irrational