Type the correct answer in the box. assume that pi=3.14 and round to the nearest hundredth.
the figure shown is formed by the arcs joining the midpoints of the four sides of a square with a side length of 15 centimeters.

the area of the shape is (blank) square centimeters.

The area of shape is: 48.38 square centimeters

The area of the shape is the area of the square minus the sum of the area of four half semicircles.

We know that four half semicircles will be equal to one circle.

Hence, the area of shape is:

Area of square-Area of circle.

We know that the area of a square with side length s is calculated by:

Also, the area of a circle with radius r is calculated by using the formula:

Here the side length of the square i.e. s=15 cm.

and the radius of the circle i.e. r=15/2 cm

Hence,

i.e.

and

i.e.

Hence, The area of shape is:

i.e.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.