Answer:
She does not have enough wire.
Step-by-step explanation:
The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.
She has in possession a 5 ft of copper to construct a circle inscribe in a square.
The square is 9 inch length.
Perimeter of the square = 4L
where
L = length
Perimeter of the square = 4 × 9
Perimeter of the square = 36 inches
Circumference of a circle = 2πr
r = diameter/2 = 9/2 = 4.5 inches
Circumference of a circle = 2 × π × 4.5
Circumference of a circle = 2 × 4.5 × 3.14
Circumference of a circle = 9 × 3.14
Circumference of a circle = 28.26 inches.
The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.
She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.
12 inches = 1 foot
64.26 inches = ?
cross multiply
wire required for the sculpture = 64.26/12
wire required for the sculpture = 5.355 ft
She does not have enough wire.
Answer:
r = 13
Step-by-step explanation:
Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.
Also, with respect to the angle given, the side "12" is the opposite.
So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.
So we can write:
Rounded to nearest whole number, r = 13