Answer:
10th term is 120.555
Step-by-step explanation:
You are most likely to pick up a red because the quantity is more and a blue marble can be anywhere
Answer:
Width=20 feet
Since Length=Width=20 feet, the rectangle is a Square.
Step-by-step explanation:
Area, 
To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.

The width of the rectangle that gives the maximum area =20 feet.
Perimeter of a rectangle=2(l+w)
Perimeter of the rectangle=80 feet
2(l+w)=80
2l+2(20)=80
2l=80-40
2l=40
l=20 feet
Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.
Answer: The number of letters that must be engraved for the costs to be the same is 125.
Step-by-step explanation:
Since we have given that

We need to find the number of letters.

Hence, the number of letters that must be engraved for the costs to be the same is 125.
Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50