For table # 1:
x= 1 * 3.5 = 3.5
x = 2*3.5 = 7
x = 3*3.5 = 10.5
x = 4* 3.5 = 14
For table #2
x=1 * 3 = 3
x =2 * 3 = 6
x = 3*3 = 9
x = 4* 3 = 12
Hence, the data sets show multiplicative relationships:
For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.
<h2>
Answer:</h2>
<u>Distance = 360.55 m</u>
<u>Direction = North-East</u>
<h2>
Step-by-step explanation:</h2>
In the question,
The adventurous dog starts from O, say.
He moves 3 blocks East = 300 m
then,
2 blocks North = 200 m
1 block East = 100 m
1 block North = 100 m
2 blocks West = 200 m
So,
Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>
OE is given by,
In triangle OLE, using Pythagoras theorem,

<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>
Answer:

Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔
,
= 1
Thus
y² ← substitute values into expression
=
× 4² =
× 16 = 
and denominator

= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
=
×
( cancel 16 and 64 )
=
= 
Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
In the right triangle XYZ
---> adjacent side divided by the hypotenuse
substitute the values

Remember that

so
substitute



step 2
--> opposite side divided by the hypotenuse
substitute the values

Remember that

so


step 3
--> opposite side divided by adjacent side
substitute the values
Simplify

so
StartFraction StartRoot 3 EndRoot Over 3 EndFraction