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
1.5 inches by 1 inch
1.5 inches by 1 inch
1 inch by 0.5 inches
1 inch by 0.5 inches
12 inches by 8 inches
12 inches by 8 inches
2 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
6.4 square inches
6.4 square inches
1.6 square inches
6.4 square inches
To find the area of the scale drawing, you need to calculate the scale factor by comparing the height of the original triangle to the height of the scale drawing. The scale factor is 5/2 = 2.5.
Then, the area of the scale drawing would be (8 * 2) / 2 = 8 square inches * scale factor (2.5) = 20 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.(1 point)
To find the circumference of a circle, you use the formula:
Circumference = 2 * π * r
Given that the radius, r, is 90 and using π = 3.14:
Circumference = 2 * 3.14 * 90
Circumference = 565.2
Therefore, the approximate circumference of a circle with a radius of 90 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. (1 point)
To find the circumference of a circle when you are given the diameter, you can use the formula:
Circumference = π * diameter
Given that the diameter is 379 and using π = 3.14:
Circumference = 3.14 * 379
Circumference = 1190.26
Therefore, the approximate circumference of a circle with a diameter of 379 is 1190.26 units.
The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π .(1 point)
To find the diameter of a circle when you are given the circumference, you can use the formula:
Circumference = π * diameter
Given that the circumference is 7,459 miles and using π = 3.14:
7,459 = 3.14 * diameter
Now, solve for the diameter:
diameter = 7,459 / 3.14
diameter ≈ 2371.974
Rounded to the nearest hundredths place, the diameter of the circle is approximately 2371.97 miles.