Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
Answer: 
cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of 
cups of flour and 
stick of butter.
Let 
For 
, we will find 
by using formula of direct proportion: 
Hence, cups of flour is required for 3 sticks of butter.
Answer:
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
From the question we have the final answer as
Hope this helps you
Answer:
See below.
Step-by-step explanation:
Composition of the functions is sometimes commutative.
Under certain circumstances, they can be the same. However, most of the time, they are not commutative.
For instance, if we have f(x)=x^2 and g(x)=x^3, then:
Most of the time, however, this won't work.
Edit: Added an example.
Answer:
∴ The greatest number that divides 210, 252 and 294 is 42.
Step-by-step explanation:
We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.
