Consider a rectangle whose base x and height y change with respect to time. At this moment, the base is 30 m and is increasing at a rate of 10 m{s, and the height is 40 m and is decreasing at a rate of 5 m{s. (a) (i) Express the area A of the rectangle in terms of x and y. (ii) Find the rate of change of A changing at this moment. (b) (i) Express the diagonal D of the rectangle in terms of x and y. (ii) Find the rate of change of D changing at this moment.

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

what shape is

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

faster, im not sure why but i know it is faster