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3 years ago

Which transformations can be used to carry ABCD onto itself? The point of

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

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Please Help/ Simple Question

IgorC [24]

Answer:

Step-by-step explanation:

To find the surface area add all sides

7 0

3 years ago

An architecture firm creates blueprints for office buildings. Last week, they produced four rectangular blueprints for four diff

Readme [11.4K]

Answer:

The order from greatest to least :

Project B > Project A > Project D > Project C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = $\frac{1 inch}{4 feet}$

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{4feet}=\frac{20 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{4feet}=\frac{15 inch}{B}$

B = 60 feet

Area of the building = $L\times B=80 ft\times 60=4800 ft^2$

Cost of project = $22,000

Cost of project per square foot = $\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2$

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = $\frac{1 inch}{8 feet}$

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{8feet}=\frac{10 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{8feet}=\frac{8 inch}{B}$

B = 64 feet

Area of the building = $L\times B=80 ft\times 64=5120 ft^2$

Cost of project = $25,000

Cost of project per square foot = $\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2$

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = $\frac{1 inch}{6 feet}$

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{6 feet}=\frac{15 inch}{L}$

L = 90 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{6feet}=\frac{12 inch}{B}$

B = 72 feet

Area of the building = $L\times B=90 ft\times 72ft=6480 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$27,000}{6480ft^2}=4.17\$/ft^2$

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = $\frac{1 inch}{12 feet}$

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{12 feet}=\frac{8 inch}{L}$

L = 96 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{12feet}=\frac{6 inch}{B}$

B = 72 feet

Area of the building = $L\times B=96 ft\times 72ft=6912 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$30,000}{6912ft^2}=4.34\$/ft^2$

Project B > Project A > Project D > Project C

4 0

3 years ago

''A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below'' I'm really confused.

alexira [117]

Complete data:

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box

Answer:

12.75 ___ 2 dots

13.0 ____ 3 dots

13.25 ___ 4 dots

13.5 ___ 3 dots

Step-by-step explanation:

Given the data :

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75

To know the Number of dots for each data value, we obtain the frequency of each data value ;

Length of Rose____ Frequency

12.75 _________:__ 2

13.0 ____________ 3

13.25 ___________ 4

13.5 ____________ 3

3 0

3 years ago

Alyssa sold half of her comic books and then bought 7 more. She now has

shusha [124]

She began with 20.

If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.

6 0

3 years ago

PLEASE HELP I RELLY NEED IT!!

Roman55 [17]

Answer: B jus times two 8s

5 0

3 years ago