As shown in the accompanying diagram, a dog is tied to a 16-foot leash, which is attached to a corner where the house and fence meet. at this corner, the angle between the house and the fence is 130°. when the dog pulls the leash tight and walks from the house to the fence, what is the distance that the dog walks, to the nearest tenth of a foot? backyard fence (1) 11.6 feet (2) 18.2 feet (3) 32.0 feet (4) 36.3 feet house (not drawn to scale)

Find the circumference of the full circle:

Circumference = 2 x PI x radius.

The radius is given as the length of chain 16 feet.

Circumference = 2 x 3.14 x 16 = 100.48 feet.

The dog can walk 130 degrees.

Multiply the circumference by the fraction of a complete circle ( 360 degrees)

Distance = 100.48 x (130/360) = 36.28 feet

Round to 36.3 feet.

The answer is (4) 36.3 feet.

hi, i am not sure about this one but i think its d,

hope this !

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.