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My name is Ann [436]
2 years ago
7

Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape o

f a regular pentagon and has measurements as shown in the diagram below.
Use complete sentences to explain how to find the area that Esther's company will carpet? Do not forget the units in your final answer.
Mathematics
1 answer:
timofeeve [1]2 years ago
5 0

Answer:

  • 3960 ft²

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

<u>Each triangle has area of:</u>

  • 1/2*48*\sqrt{40.8^2 - (48/2)^2} = 24*\sqrt{1088.64} = 24*33 = 792 ft²

<u>The area of the room is:</u>

  • 792*5 = 3960 ft²

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Two angles of a quadrilateral measure 150 degrees and 105 degrees the other two angles are in a ratio of 3:4 what are the measur
iragen [17]

Answer:

First angle is 45 and the second angle is 60

Step-by-step explanation:

150 + 105 = 255

360 - 255 = 105

the ratio is 3:4 I add the ratio so 7

105 / 7 = 15

The first angle with the ratio of 3 is 15 x 3 = 45

The second angle with the ratio of 4 is 4 x 15 = 60

7 0
3 years ago
PLEASE HELP!!This is joshs solution for the equation x^2-6x-7=0: x^2-6x-7=0
iren [92.7K]

Answer:

  no. see below

Step-by-step explanation:

This much of Josh's working is correct:

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At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...

  x -3 = ±4

  x = 3+4 . . . or . . . 3 -4

  x = 7 or -1

_____

Josh reported values of x that would match ...

  x -3 = ±16

He <em>violated the equal sign</em> by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.

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If 2x squared + 8y = 121. 5, what is x
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X=30.4-2y
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