Answer:
(1)
And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

And replacing into equation (1) we got:



Adding 14 in both sides we got:

And dividing 10 on both sides we got:

And then we can solve for X and we got:

Step-by-step explanation:
For this case we can set up the following notation:
X represent the lenght
Y represent the width
And since we have a rectangular playing filed the perimeter is given by:
(1)
And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

And replacing into equation (1) we got:



Adding 14 in both sides we got:

And dividing 10 on both sides we got:

And then we can solve for X and we got:

Answer:
4/5
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A right angled triangle with sides as 3 , 4 and 5 cm .
We need to find the value of sin(β) in the given triangle . We know that the ratio of sine is ,
sin(β) = p/h
- Where p is perpendicular and h is hypontenuse.
sin(β) = 4/5
<h3>Hence the required answer is 4/5.</h3>
The Greatest Common Factor (GCF) is very important when factoring. Later on, you will forget to pull out a GCF and the answer will be wrong. Always look for a GCF before doing anything.
Let's try factoring these:
a.) 
The greatest common factor of this expression is 9, because it is the maximum number that both can go into. Let's solve.

This is the simplest this expression can get. This would be your final answer. Let's try the other one.
b.) 
The GCF of this one is 12. Let's simplify it.

This is also the simplest you can get it. You can do nothing further. So, your final answers are:
a.) 
b.) 