First, the bigger square's area is 20*20= 400 cm^2
second, the circle's area is ¶r^2 = ¶(20/2)^2 = ¶(10)^2 = 100¶ cm^2
third, smaller square-- if we imagine it as 4 parts as 4 right triangles-- 1 part will be 1/2*(20/2)(20/2) = 1/2 (10)(10) = 50 cm^2 then the area of the smaller square is 4*50 = 200 cm^2
so the shaded parts = circle - smaller square =100¶ - 200 cm^2
the answer is 2
Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
X can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!
Answer:
<u>9 feet 2 inches</u>
Step-by-step explanation:
Given :
⇒ Height of SUV = <u>6 feet 4 inches</u>
⇒ Height of box = <u>2 feet 10 inches</u>
<u />
============================================================
Solving :
⇒ Total Height = Height of SUV + Height of box
⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches
⇒ Total Height = 8 feet 14 inches
* But, 12 inches = 1 feet *
Hence,
⇒ Total Height = 8 feet + 1 foot + 2 inches
⇒ Total Height = <u>9 feet 2 inches</u>
