To find the new value of X when Y is three units, we can first find the value of Y when it is three units by substituting into the given ratio:
x/8 = 3/16
Cross multiply to solve for x:
16x = 24
x = 24/16
x = 1.5
Therefore, the value of X when Y is three units is 1.5 units.
Ethan writes the ratio x/8 = y/16 to help him reduce the size of a two dimensional shape is the new value of Y is three units when will be the value of X
11 answers
Li is a professional nature photographer she takes a photograph of the spiderweb and princess copy the original dimensions of her copy or 6“ x 4“ Li decides to advertise her business by printing smaller copies of the spiderweb photographed and emailing them to friends and acquaintances, which dimensions represent a smaller scale, drawing of the original printed photographs?
12 inches by 8 inches
1 inch by 0.5 inches
2 inches by 1 inch
12 inches by 8 inches
1 inch by 0.5 inches
2 inches by 1 inch
To determine the smaller scale drawing of the original printed photographs, we need to find dimensions that are smaller than the original 6" x 4" photograph.
1) 12 inches by 8 inches: This is larger than the original photograph, not smaller.
2) 1 inch by 0.5 inches: This is smaller than the original photograph.
3) 2 inches by 1 inch: This is also smaller than the original photograph.
Therefore, the dimensions that represent a smaller scale drawing of the original printed photograph are 2 inches by 1 inch.
1) 12 inches by 8 inches: This is larger than the original photograph, not smaller.
2) 1 inch by 0.5 inches: This is smaller than the original photograph.
3) 2 inches by 1 inch: This is also smaller than the original photograph.
Therefore, the dimensions that represent a smaller scale drawing of the original printed photograph are 2 inches by 1 inch.
Crystal cut a piece of wood into the shape of a triangle. The height of the triangle is 5 inches in 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?
20 square inches
3.2 square inches
1.6 square inches
6.4 square inches
20 square inches
3.2 square inches
1.6 square inches
6.4 square inches
To find the area of Crystal's scale drawing, we need to compare the ratio of the heights in the original triangle and the scale drawing to determine the scale factor.
Scale factor = height of scale drawing / height of original = 2 / 5 = 0.4
Since the area of a triangle is proportional to the square of the scale factor, we can calculate the area of the scale drawing as follows:
Area of scale drawing = 0.4^2 * Area of original triangle = 0.16 * (1/2 * base * height)
Area of scale drawing = 0.16 * (1/2 * 8 * 2) = 0.16 * 8 = 1.6 square inches
Therefore, the area of Crystal's scale drawing is 1.6 square inches.
Scale factor = height of scale drawing / height of original = 2 / 5 = 0.4
Since the area of a triangle is proportional to the square of the scale factor, we can calculate the area of the scale drawing as follows:
Area of scale drawing = 0.4^2 * Area of original triangle = 0.16 * (1/2 * base * height)
Area of scale drawing = 0.16 * (1/2 * 8 * 2) = 0.16 * 8 = 1.6 square inches
Therefore, the area of Crystal's scale drawing is 1.6 square inches.
What is the approximate circumference of a circle that has a radius of 90 use 3.14 for pi and express your answer to the tenths place.
To find the circumference of a circle, we use the formula:
Circumference = 2 * π * radius
Given that the radius is 90 units and π is approximately 3.14, we substitute these values into the formula:
Circumference = 2 * 3.14 * 90
Circumference = 564.6
Therefore, the approximate circumference of a circle with a radius of 90 units is 564.6 units when expressed to the tenths place.
Circumference = 2 * π * radius
Given that the radius is 90 units and π is approximately 3.14, we substitute these values into the formula:
Circumference = 2 * 3.14 * 90
Circumference = 564.6
Therefore, the approximate circumference of a circle with a radius of 90 units is 564.6 units when expressed to the tenths place.
What is the approximate circumference of a circle that has a diameter of 379 use 3.14 for pi and express your answer to the hundredths place
To find the circumference of a circle given the diameter, we use the formula:
Circumference = π * diameter
Given that the diameter is 379 units and π is approximately 3.14, we substitute these values into the formula:
Circumference = 3.14 * 379
Circumference ≈ 1190.66
Therefore, the approximate circumference of a circle with a diameter of 379 units is 1190.66 units when expressed to the hundredths place.
Circumference = π * diameter
Given that the diameter is 379 units and π is approximately 3.14, we substitute these values into the formula:
Circumference = 3.14 * 379
Circumference ≈ 1190.66
Therefore, the approximate circumference of a circle with a diameter of 379 units is 1190.66 units when expressed to the hundredths place.
The approximate circumference of a circle is 7459 miles. What is the diameter rounded to the nearest hundreds please use 3.14 for pi.
To find the diameter of a circle given the circumference, we use the formula:
Circumference = π * diameter
Given that the circumference is 7459 miles and π is approximately 3.14, we can solve for the diameter:
7459 = 3.14 * diameter
Diameter ≈ 2375.79617834
Rounded to the nearest hundred, the diameter is 2400 miles.
Circumference = π * diameter
Given that the circumference is 7459 miles and π is approximately 3.14, we can solve for the diameter:
7459 = 3.14 * diameter
Diameter ≈ 2375.79617834
Rounded to the nearest hundred, the diameter is 2400 miles.
1 answer