are the answers
b.
c
a
d
b
c
9.
The sides of a rectangle are increased by a scale factor of 4. The perimeter of the smaller rectangle is 20 cm. What is the perimeter of the larger rectangle? (1 point)
320 cm
80 cm
120 cm
60 cm
10.
A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle? (1 point)
39 m2
169 m2
117 m2
142 m2
12.
The width of a picture is 20 cm. Using a color copier, you reduce the width of the picture to 5 cm. What is the scale factor of the dilation? (1 point)
5
1 over 5
4
1 over 4
13.
On a given blueprint, 1 inch = 16 feet. If the dimensions of the bedroom on the blueprint are 0.75 inches × 1.5 inches, what are its actual measurements? (1 point)
16 ft × 32 ft
12 ft × 24 ft
16 ft × 24 ft
12 ft × 32 ft
14.
Using the same scale factor, what are the blueprint dimensions for a room that is 20 feet x 28 feet? (1 point)
1.5 in. × 2.5 in.
1.25 in. × 2.25 in.
1.25 in. × 1.75 in.
1.5 in. × 1.75 in.
15.
The scale of a map is 1 in.:75 mi. How many actual miles does 0.85 inches represent? (1 point)
88.2 miles
63.75 miles
95.6 miles
4,781.3 miles
recheck the last three.
Come on everyone these responses are too recent what happened to this test in like 2013 or something.
To find the answer to question 9, we need to calculate the perimeter of the larger rectangle. We know that the sides of the smaller rectangle have a perimeter of 20 cm.
Let's assume the length and width of the smaller rectangle are L and W respectively. Then, the perimeter of the smaller rectangle is given by the formula: 2L + 2W = 20 cm.
Now, we are told that the sides of the rectangle are increased by a scale factor of 4. This means that the new length (NL) and new width (NW) of the larger rectangle can be calculated by multiplying the scale factor (4) with the original length and width: NL = 4L and NW = 4W.
To calculate the perimeter of the larger rectangle, we use the same formula as before: 2NL + 2NW.
By substituting the given values, we get: 2(4L) + 2(4W) = 8L + 8W.
Therefore, the perimeter of the larger rectangle is 8L + 8W.
Now, we need the values of L and W to find the perimeter of the larger rectangle. The question does not provide these values, so we cannot determine the answer without additional information.
To solve question 10, we need to find the area of the new triangle after its dimensions have been increased by a scale factor of 3.
Let's assume the original dimensions of the triangle are base (B) and height (H). The area of the original triangle can be calculated using the formula: (1/2) * B * H = 13 m^2.
Now, we are told that the dimensions of the triangle are increased by a scale factor of 3. This means that the new base (NB) and new height (NH) of the larger triangle can be calculated by multiplying each dimension by the scale factor: NB = 3B and NH = 3H.
To calculate the area of the new triangle, we use the same formula as before: (1/2) * NB * NH.
By substituting the given values, we get: (1/2) * (3B) * (3H) = (9/2) * B * H.
Therefore, the area of the new triangle is (9/2) * B * H.
To solve question 12, we need to find the scale factor of the dilation. This can be calculated by dividing the original width of the picture by the reduced width.
The original width of the picture is 20 cm, and the reduced width is 5 cm.
Therefore, the scale factor of the dilation is 20 cm divided by 5 cm, which equals 4.
To solve question 13, we know that on the blueprint, 1 inch represents 16 feet.
The dimensions of the bedroom on the blueprint are given as 0.75 inches by 1.5 inches.
To find the actual measurements, we need to multiply the dimensions on the blueprint by the scale factor.
0.75 inches * 16 feet/inch = 12 feet
1.5 inches * 16 feet/inch = 24 feet
Therefore, the actual measurements of the bedroom are 12 feet by 24 feet.
To solve question 14, we need to use the same scale factor as in question 13.
The dimensions of the room are given as 20 feet by 28 feet.
To find the blueprint dimensions, we need to divide the actual measurements by the scale factor:
20 feet ÷ 16 feet/inch = 1.25 inches
28 feet ÷ 16 feet/inch = 1.75 inches
Therefore, the blueprint dimensions for the room that is 20 feet by 28 feet are 1.25 inches by 1.75 inches.
To solve question 15, we know that the scale of the map is 1 inch represents 75 miles.
The given distance on the map is 0.85 inches.
To find the actual distance in miles, we need to multiply the given distance on the map by the scale factor:
0.85 inches * 75 miles/inch = 63.75 miles
Therefore, 0.85 inches on the map represents 63.75 miles in actual distance.