Ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x ?(1 point)
Responses
6 units
6 units
0.5 units
0.5 units
3/16 units
1.5 units
1.5 units
Li is a professional nature photographer. She takes a photograph of a spider web and prints a copy. The original dimensions of her copy are 6 inches by 4 inches. Li decides to advertise her business by printing smaller copies of the spider web photograph and emailing them to friends and acquaintances. Which dimensions represent a smaller scale drawing of the original printed photograph?(1 point)
Responses
12 inches by 8 inches
12 inches by 8 inches
2 inches by 1 inch
2 inches by 1 inch
1 inch by 0.5 inches
1 inch by 0.5 inches
1.5 inches by 1 inch
2 inches by 1 inch
Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
(1 point)
Responses
20 square inches
20 square inches
3.2 square inches
3.2 square inches
1.6 square inches
1.6 square inches
6.4 square inches
6.4 square inches
To find the area of a triangle, you can use the formula: Area = 0.5 * base * height.
For the original triangle: Area = 0.5 * 8 * 5 = 20 square inches.
For the scale drawing: Using the scaling factor from the height of the original triangle to the height of the scaled drawing (5 inches to 2 inches), the scaled height is 5*2/5 = 2 inches and the scaled base remains 8 inches.
Area of the scale drawing = 0.5 * 8 * 2 = 8 square inches * 0.8 = 6.4 square inches.
What is the approximate circumference of a circle that has a radius of 90? Use 3.14 for π and express your answer to the tenths place.
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius.
Given that the radius is 90 units and π is approximately 3.14, we can calculate the circumference as follows:
Circumference = 2 * 3.14 * 90
Circumference = 565.2
Therefore, the approximate circumference of the circle with a radius of 90 units is 565.2 units.
What is the approximate circumference of a circle that has a diameter of 379? Use 3.14 for π and express your answer to the hundredths place.
The circumference of a circle can be calculated using the formula: Circumference = π * diameter.
Given that the diameter is 379 units and π is approximately 3.14, we can calculate the circumference as follows:
Circumference = 3.14 * 379
Circumference = 1190.66
Therefore, the approximate circumference of the circle with a diameter of 379 units is 1190.66 units.