Florence's living room measures 12 ft by 14 ft. She wants to put a rug in the living room and leave 1 foot of uncovered flooring on all sides of the rug. Rugs cost $3.29 per square foot. Before taxes, how much will a rug for Florence's living room cost

Total cost = $394.8

Step-by-step explanation:

Given:

Florence's living room measures 12 ft by 14 ft.

She wants to put a rug in the living room and leave 1 foot of uncovered flooring on all sides of the rug.

Rugs cost $3.29 per square foot.

Question asked:

How much will a rug for Florence's living room cost ?

Solution:

First of all we will find the dimension of rug and then its area.

As 1 foot of uncovered flooring is on all sides of the rug, hence to find the length of rug, we will subtract 2 feet from the length of the room.

Length of the rug = 14 feet - 2 feet

                             = 12 feet

Similarly, width of the rug = 12 feet - 2 feet = 10 feet

Now,

Cost of rugs for 1 square feet = $3.29

Cost of rugs for 120 square feet = $3.29 120

                                                     = $394.8

Thus, total cost of rugs for Florence's living room will be $394.8

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1