Use the image to answer the question. 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 6.4 square inches 6.4 square inches 1.6 square inches 1.6 square inches 3.2 square inches 3.2 square inches 20 square inches
To find the area of the scale drawing, we need to use the scale factor to calculate the dimensions of the scale drawing.
The scale factor is the ratio of the height of the actual triangle to the height of the scale drawing:
5 inches / 2 inches = 2.5
Now we can use this scale factor to find the base of the scale drawing:
2.5 * 8 inches = 20 inches
Now we can calculate the area of the scale drawing:
1/2 * base * height = 1/2 * 20 inches * 2 inches = 20 square inches
Therefore, the area of the scale drawing is 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)
The circumference of a circle is given by the formula:
Circumference = 2 * π * radius
Given that the radius is 90, we can substitute it into the formula:
Circumference = 2 * 3.14 * 90
Circumference = 565.2
Therefore, the approximate circumference of a circle with a radius of 90 is 565.2 units (rounded to the nearest tenth).
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)
The circumference of a circle is given by the formula:
Circumference = π * diameter
Given that the diameter is 379, we can substitute it into the formula:
Circumference = 3.14 * 379
Circumference = 1190.26
Therefore, the approximate circumference of a circle with a diameter of 379 is 1190.26 units (expressed to the hundredths place).
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)
We know that the circumference of a circle is given by the formula:
Circumference = π * diameter
Given that the circumference is 7,459 miles and using 3.14 for π, we can rearrange the formula to solve for the diameter:
Diameter = Circumference / π
Diameter = 7459 / 3.14
Diameter ≈ 2373.57
Rounded to the nearest hundredths place, the diameter of the circle is 2373.57 miles.
The radius of a circle is 98 mm. What is the area of the circle? Write your answer to the hundredths place. Use 3.14 for π. (1 point)
The area of a circle is given by the formula:
Area = π * radius^2
Given that the radius is 98 mm and using 3.14 for π, we can substitute the values into the formula:
Area = 3.14 * (98)^2
Area = 3.14 * 9604
Area ≈ 30178.56 mm^2
Rounded to the nearest hundredths place, the area of the circle is 30178.56 mm^2.