The ratio of quarters to dimes is not still 5 : 3
<u>Solution:</u>
Given that ratio of quarters to dimes in a coin collection is 5:3 .
You add same number of new quarters as dimes to the collection .
Need to check if ratio of quarters to dimes is still 5 : 3
As ratio of dimes and quarters is 5 : 3
lets assume initially number of quarters = 5x and number of dimes = 3x.
Now add same number of new quarters as dimes to the collection
Let add "x" number of quarters and "x" number of dimes
So After adding,
Number of quarters = initially number of quarters + added number of quarters = 5x + x = 6x
Number of dimes = initially number of dimes + added number of dimes
= 3x + x = 4x
New ratio of quarters to dimes is 6x : 4x = 3 : 2
So we have seen here ratio get change when same number of new quarters and dimes is added to the collection
Ratio get change from 5 : 3 when same number of new quarters and dimes is added to the collection and new ratio will depend on number of quarters and dimes added to collection.
Answer:
C. corresponding angles theorem
Answer: each side is 1/8 yards long
Step-by-step explanation: since a square has four sides, and you have 1/4 yards of wood, 1/4 divided by 4 would equal 1/8.
Answer:
2,3,6
Step-by-step explanation:
5,226 ...(1)
unit digit=6
6 is divisible by 2,
so (1) is divisible by 2.
last two digits=26 ,not divisible by 4,
so (1) is not divisible by 4.
5+2+2+6=15 divisible by 3 but not divisible by 9.
so (1) is divisible by 3 but not divisible by 9.
2×3=6,so (1) is divisible by 6.
unit digit=6≠0 or 5
so (1) is not divisible by 5 or 10.
We have been given that in ΔLMN, l = 870 cm, ∠N=117° and ∠L=17°. We are asked to find the length of n to the nearest 10th of a centimeter.
We will use law of sines to find the length of n.
Law of sine states the relation between the angles of a triangle and their corresponding side.
, where a, b and c are corresponding sides to angles A, B and C respectively.
Upon using law of sines, we will get:
Therefore, the length of n is approximately 2651.3 cm.
