The scale factor from the first map to the second map can be determined by:

scale factor = (length of trail in first map) / (length of trail in second map)

8 cm / 6 cm = 1.33

The landmark on the first map is a triangle with side lengths of 3mm, 4mm, and 5mm.

3mm = 3 * 1.33 mm = 3.99mm
4mm = 4 * 1.33 mm = 5.32mm
5mm = 5 * 1.33 mm = 6.65mm

5 0

2 years ago

a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next

bazaltina [42]

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , $n^{th}$ number in A.P is given by :

$a_n=a+(n-1)d$

Putting value of n = 2 , 3 , 4 .

We get :

$a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415$

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

8 0

3 years ago

How to write an improper fraction as a mixed number or whole number?

qaws [65]

See how many times the denominator goes into the numerator. For example, with 24/8, 8 goes into 24 three times, so 24/8 is 3. If I had 25/8, then it would be 3 1/8 because you have one left over after you divide the 8 into 25.

8 0

3 years ago