Add or substract the linear expression.
1 answer:
You might be interested in
Answer: The area of the parallelogram is:
_______________________________________________________
in² = 1174 ⅛ in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
A = base * height = b * h ;
From the figure (from the actual "question"):
_______________________________________
b = 50.5 in.
h = 23.25 in.
____________________________________________________________
Method 1) A = b * h =
= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 <span>⅛ .
</span>____________________________________________________________
Method 2) A = b * h =
= (50 ½ in) * (23 <span>¼ in) =
= (</span>
in) * (
<span> in) ;
</span>___________________________________________________________
Note: "50 ½ " = [(50*2) + 1 ] / 2 = ;
Note: "23 ¼ " = [(23*4) + 1 ] / 4 = ;
____________________________________________________________
→ A = ( in) * ( in) ;
→ A =
in² = in² ;
→ A = (9393/8) in² =
→ A = in² = 1174 ⅛ in² = 1174.125 in² .
________________________________________________________
_______________________________________________________
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
A = base * height = b * h ;
From the figure (from the actual "question"):
_______________________________________
b = 50.5 in.
h = 23.25 in.
____________________________________________________________
Method 1) A = b * h =
= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 <span>⅛ .
</span>____________________________________________________________
Method 2) A = b * h =
= (50 ½ in) * (23 <span>¼ in) =
= (</span>
</span>___________________________________________________________
Note: "50 ½ " = [(50*2) + 1 ] / 2 =
Note: "23 ¼ " = [(23*4) + 1 ] / 4 =
____________________________________________________________
→ A = (
→ A =
→ A = (9393/8) in² =
→ A =
________________________________________________________
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
=======================================================
Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.