Question
Tessa designs a supply closet. The closet is pictured, its total area is 36 square feet. When is the length in feet of the side of the supply closet labeled with the question mark. R
The picture shows two rectangles that are connected. Rectangle one has the width of 3 the length of 8. Rectangle two has the width of 2 with a question mark of the side. What is the length in feet of the question mark
The picture shows two rectangles that are connected. Rectangle one has the width of 3 the length of 8. Rectangle two has the width of 2 with a question mark of the side. What is the length in feet of the question mark
Answers
Answer
Ethan writes the ratio x/8 = y/16 to help reduce the size of a two dimensional shape. If the new value of y is 3 units, what will be the value of x
Answer
Li took a photo of spiders and prints a copy. The original dimensions of her copy are 6 inch by 4 inch. Li decides to print smaller copies. What dimensions represent a smaller scale drawing of the Original printed photograph
1.5 inch by 1 inch
12 inch by 8 inch
2 inch by 1 inch
1 inch by 0.5 inch
1.5 inch by 1 inch
12 inch by 8 inch
2 inch by 1 inch
1 inch by 0.5 inch
Answer
But it’s bigger
Answer
Crystal cuts a piece of wood into a shape of a triangle. The height of the triangle is 5 inch and the base measures 8 inch. Crystal makes a scale drawing of the triangle if the height of her scale drawing is 2 inch, what is the area of her scale drawing
Answer
What is the approximate circumference of a circle that has the radius of 90? Express your terms to the tenths place
Answered by
GPT 3.5
To find the length of the side labeled with a question mark, we need to first calculate the area of each rectangle.
Rectangle one:
Length = 8 feet
Width = 3 feet
Area = Length x Width = 8 ft x 3 ft = 24 square feet
Rectangle two:
Width = 2 feet
Area = 36 square feet - 24 square feet = 12 square feet
Length = Area / Width = 12 sq ft / 2 ft = 6 feet
Therefore, the length of the side labeled with a question mark is 6 feet.
Rectangle one:
Length = 8 feet
Width = 3 feet
Area = Length x Width = 8 ft x 3 ft = 24 square feet
Rectangle two:
Width = 2 feet
Area = 36 square feet - 24 square feet = 12 square feet
Length = Area / Width = 12 sq ft / 2 ft = 6 feet
Therefore, the length of the side labeled with a question mark is 6 feet.
Answered by
GPT 3.5
To find the value of x when y = 3 units, we can use the given ratio x/8 = y/16 and substitute y = 3 into the equation:
x/8 = 3/16
To solve for x, we need to cross multiply:
16x = 24
Divide both sides by 16 to isolate x:
x = 24/16
x = 1.5
Therefore, the value of x is 1.5 units.
x/8 = 3/16
To solve for x, we need to cross multiply:
16x = 24
Divide both sides by 16 to isolate x:
x = 24/16
x = 1.5
Therefore, the value of x is 1.5 units.
Answered by
GPT 3.5
To find a smaller scale drawing of the original printed photograph, we need to maintain the same aspect ratio.
The original dimensions are 6 inches by 4 inches, so the aspect ratio is 6:4, which can be simplified to 3:2.
Now, let's check which of the given dimensions have the same aspect ratio as the original (3:2):
1.5 inch by 1 inch: 1.5/1 = 1.5
12 inch by 8 inch: 12/8 = 1.5
2 inch by 1 inch: 2/1 = 2
1 inch by 0.5 inch: 1/0.5 = 2
The dimensions that maintain the same aspect ratio as the original 6-inch by 4-inch photograph are 12 inches by 8 inches.
The original dimensions are 6 inches by 4 inches, so the aspect ratio is 6:4, which can be simplified to 3:2.
Now, let's check which of the given dimensions have the same aspect ratio as the original (3:2):
1.5 inch by 1 inch: 1.5/1 = 1.5
12 inch by 8 inch: 12/8 = 1.5
2 inch by 1 inch: 2/1 = 2
1 inch by 0.5 inch: 1/0.5 = 2
The dimensions that maintain the same aspect ratio as the original 6-inch by 4-inch photograph are 12 inches by 8 inches.
Answered by
GPT 3.5
I apologize for that mistake. Let's correctly identify the smaller scale drawing of the original printed photograph by maintaining the same aspect ratio.
The original dimensions are 6 inches by 4 inches, so the aspect ratio is 6:4, which can be simplified to 3:2.
Now, let's check which of the given dimensions have the same aspect ratio as the original (3:2):
1.5 inch by 1 inch: 1.5/1 = 1.5
12 inch by 8 inch: 12/8 = 1.5
2 inch by 1 inch: 2/1 = 2
1 inch by 0.5 inch: 1/0.5 = 2
The dimensions 1.5 inches by 1 inch maintain the same aspect ratio (3:2) as the original 6-inch by 4-inch photograph while representing a smaller scale drawing.
The original dimensions are 6 inches by 4 inches, so the aspect ratio is 6:4, which can be simplified to 3:2.
Now, let's check which of the given dimensions have the same aspect ratio as the original (3:2):
1.5 inch by 1 inch: 1.5/1 = 1.5
12 inch by 8 inch: 12/8 = 1.5
2 inch by 1 inch: 2/1 = 2
1 inch by 0.5 inch: 1/0.5 = 2
The dimensions 1.5 inches by 1 inch maintain the same aspect ratio (3:2) as the original 6-inch by 4-inch photograph while representing a smaller scale drawing.
Answered by
GPT 3.5
To find the area of Crystal's scale drawing, we first need to determine the scale factor by comparing the heights of the original triangle and the scale drawing.
Original height: 5 inches
Scale drawing height: 2 inches
Scale factor = Scale drawing height / Original height
Scale factor = 2 inches / 5 inches
Scale factor = 0.4
Since the area of a triangle is proportional to the square of the scale factor, we will calculate the area of the scale drawing:
Area of original triangle = 0.5 * base * height
Area of original triangle = 0.5 * 8 inches * 5 inches
Area of original triangle = 20 square inches
Area of scale drawing = (Scale factor)^2 * Area of original triangle
Area of scale drawing = (0.4)^2 * 20 square inches
Area of scale drawing = 0.16 * 20 square inches
Area of scale drawing = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.
Original height: 5 inches
Scale drawing height: 2 inches
Scale factor = Scale drawing height / Original height
Scale factor = 2 inches / 5 inches
Scale factor = 0.4
Since the area of a triangle is proportional to the square of the scale factor, we will calculate the area of the scale drawing:
Area of original triangle = 0.5 * base * height
Area of original triangle = 0.5 * 8 inches * 5 inches
Area of original triangle = 20 square inches
Area of scale drawing = (Scale factor)^2 * Area of original triangle
Area of scale drawing = (0.4)^2 * 20 square inches
Area of scale drawing = 0.16 * 20 square inches
Area of scale drawing = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.
Answered by
GPT 3.5
To calculate the circumference of a circle with a radius of 90 units, we can use the formula for circumference:
Circumference = 2 * π * radius
Given radius = 90 units, and using π ≈ 3.14, we can plug in the values and calculate:
Circumference = 2 * 3.14 * 90
Circumference = 565.2
Therefore, the approximate circumference of a circle with a radius of 90 units is 565.2 units (rounded to the nearest tenths place).
Circumference = 2 * π * radius
Given radius = 90 units, and using π ≈ 3.14, we can plug in the values and calculate:
Circumference = 2 * 3.14 * 90
Circumference = 565.2
Therefore, the approximate circumference of a circle with a radius of 90 units is 565.2 units (rounded to the nearest tenths place).
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