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Lady bird [3.3K]
2 years ago
15

The length of a rectangular board is 10 cm longer than its with. The width of the board is 26cm. The board is cut into 9 equal p

ieces. What is the area of each piece? What are the possible dimensions of each piece?

Mathematics
1 answer:
Margaret [11]2 years ago
8 0

Answer: 26 cm × 4 cm or

36 cm × 2.89 cm

Step-by-step explanation:

The diagram of the board is shown in the attached photo

Width of the rectangular board is given as 26 cm

The length of a rectangular board is 10 cm longer than its with. This means that

Length of rectangular board = 26 +10 = 36 cm.

Area of rectangular board = length × width. It becomes

36 × 26 = 936cm^2

The board is cut into 9 equal pieces. This means that the area of each piece would be the area of the board divided by 9. It becomes

936 /9 = 104cm^2

The dimensions of the piece would be

Since area of each piece is 104 cm^2 and the width of the bigger board still corresponds to one side of each piece, the other side of each piece will be 104 /26 = 4 cm

Also, the board could have been cut along the length such that one side of the cut piece corresponds to the length of the original board (36 cm)

and the other side becomes

104 /36 = 2.89 cm

The possible dimensions are

26 cm × 4 cm or

36 cm × 2.89 cm

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The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
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The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

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From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

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Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

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(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

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Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

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Answer:

the answer is B

a 3d rectangle slided vertically can produce a 2d rectangle

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1 year ago
Round 3..............almost out of points .-.
Dovator [93]
6 2/3 ÷ 2/3
= 20/3 ÷ 2/3
= 20/3 × 3/2
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= 10

Answer
10 hours
4 0
3 years ago
Read 2 more answers
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