The diameter of the pizza shown is 35 millimeters. Which measurement is closest to the area of the pizza in square millimeters? Formula Sheet (1 point) Responses 54.95 mm2 54.95 mm2 109.9 mm2 109.9 mm2 781.751 mm2 781.751 mm2 961.625 mm2 961.625 mm2.
The formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is given as 35 mm, the radius would be half of the diameter which is 17.5 mm.
Substitute the radius into the formula:
A = π(17.5)^2
A = π(306.25)
A = 961.8125 mm^2
The closest measurement to the area of the pizza in square millimeters would be 961.625 mm^2.
A square has an area of 64 in2 . What is the measure of one side of the square? If necessary, please use the formula sheet. (1 point) Responses 6 inches 6 inches 8 inches 8 inches 16 inches 16 inches 12 inches 12 inches
To find the measure of one side of the square, you can use the formula for the area of a square:
Area = side^2
Given that the area of the square is 64 in^2, you can set up the equation:
64 = side^2
Taking the square root of both sides to solve for side:
√64 = √(side^2)
8 = side
Therefore, the measure of one side of the square is 8 inches.
The correct response is 8 inches.
A rectangle has an area of 36 cm2 . What are the possible dimensions of the rectangle? Use the formula sheet provided.(1 point) Responses 3 in ×10 in 3 in ×10 in 4 in ×5 in 4 in ×5 in 4 in × 9 in 4 in × 9 in 7 in × 8 in
To find the possible dimensions of the rectangle with an area of 36 cm^2, you need to consider all the possible pairs of numbers whose product is 36. These pairs will represent the possible dimensions of the rectangle.
The pairs of numbers that multiply to give 36 are:
1. 1 cm × 36 cm
2. 2 cm × 18 cm
3. 3 cm × 12 cm
4. 4 cm × 9 cm
5. 6 cm × 6 cm
Out of these, the only pair that both represent dimensions of a rectangle (length and width) is 4 cm × 9 cm. Therefore, the possible dimensions of the rectangle are 4 cm × 9 cm.
The correct response is 4 in × 9 in.
The liquid outer core of Earth is 2300 kilometers thick. A scale model of the layers of Earth has a scale of 1 in. : 500 km. How thick is the liquid outer core of the model?(1 point) Responses 0.2 inches 0.2 inches 4.6 inches 4.6 inches 0.2 kilometers 0.2 kilometers 4.6 kilometers 4.6 kilometers
If the liquid outer core of Earth is 2300 kilometers thick and the scale model has a scale of 1 in. : 500 km, then to find the thickness of the liquid outer core of the model in inches, you need to use the scale.
Since 1 inch on the model represents 500 km in reality, you can set up a proportion and solve for the thickness of the liquid outer core of the model:
1 inch / 500 km = x inches / 2300 km
Cross multiply and solve for x:
500 km * x inches = 1 inch * 2300 km
x = (1 × 2300) / 500 = 4.6 inches
Therefore, the thickness of the liquid outer core of the model is 4.6 inches.
The correct response is 4.6 inches.
What is the scale of a drawing where a 6 meters wall is 4 centimeters long?(1 point) Responses 1 cm = 1.5 m 1 cm = 1.5 m 1 cm = 3 m 1 cm = 3 m 1 cm = 0.66 m 1 cm = 0.66 m 1 cm = 4 m
To find the scale of the drawing, you need to determine how many meters are represented by 1 centimeter in the drawing.
Given that a 6 meters wall is 4 centimeters long on the drawing, you can set up a proportion to find the scale:
6 meters / 4 centimeters = x meters / 1 centimeter
Cross multiply and solve for x:
4x = 6
x = 6 / 4
x = 1.5
Therefore, the scale of the drawing is 1 centimeter = 1.5 meters.
The correct response is 1 cm = 1.5 m.