The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard after the patio is done?

A = 413 sq feet

Step-by-step explanation:

The area of the yard = area of rectangle - area of semicircle

The radius of the semicircle, r = 10  feet

The length of the rectangle = 38.5 - 10 = 28.5 feet

So,

The area of the yard = lb - (πr²/2)

So, the required area is equal to 413 sq feet.

answer: 12

step-by-step explanation:

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold