Okay, so if your rectangle is 16 by 8, that means that the circle diameter of 8 because that would be outside of the card's width,
the area of the rectangle is 16 x 8 or 128
the radius of the circle would be 4 (because 1/2 of the diameter is radius)
we know that the equation of the circle PIr^2, so the area of the circle is 16PI
then, the remaining area would be calculated by 128-16PI
This comes out to be approximately 77.73
Answer:
The Answer is P = (-2.5 , 1 )
Step-by-step explanation:
Let, the point is P(x,y)
then, 
=>
∴
Again, 
=>
∴
Thus, P = (-2.5 , 1 )
You can prove that a=5, b=3, 5=3+2 and a=b+2.
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
I think the second one or the last one
Step-by-step explanation: