Answer:
5K:8K is equivalent ratio of blue tiles to green tiles. where, K is a natural number.
For example : 60:96 is equivalent ratio of blue tiles to green tiles.
Step-by-step explanation:
It is given that every 5 tiles is painted blue he painted 8 tiles green.
The ratio of blue tiles to green tiles is
If two ratios express the same relationship between numbers, then they are known as equivalent ratios.
If the numerator and denominator of a ratio is multiplying or dividing by the same number, then the resulting ratio is equivalent to the given ratio.
Equivalent ratio of blue tiles to green tiles is
where, K is a natural number.
For example K=12, then
Therefore, 60:96 is equivalent ratio of blue tiles to green tiles.
First blank: always
I'm not so sure with the second blank, but I would think it is "always".
Line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
Answer:
the answer is D I think
Step-by-step explanation: