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Juli2301 [7.4K]
3 years ago
5

What is the value of a?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

relationship between hypotenuse and perpendicular is given by sin angle

sin60=p/h

√3/2=a/16

√3/2×16=a

8√3=a

option C is your answer

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Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square feet.?
Alex_Xolod [135]

Answer:

The border is 3 in wide along all edges of the table.

Step-by-step explanation:

You are told the total area is 3276 ft² and the dimensions of the table is 36 x 72 in

Either you really mean that the area is in in², or you have a huge border.

Presuming that the area is really in², adding in the border of "x" in makes the total length and width to be:

l = 72 + 2x

w = 36 + 2x

A = lw

3276= (72 + 2x)(36 + 2x)

3276 = 2592 + 216x + 4x²

subtracting 3276 from both sides:

4x² + 216x - 684 = 0

You would use the second of your four options to determine the length of the border.

Dividing both sides by 4:

x² + 54x - 171 = 0

completing the square:

x² + 54x = 171

x² + 54x + 729 = 171 + 729

(x + 27)² = 900

x + 27 = ± 30

x = -27 ± 30

Throwing out the negative number, our remaining x is:

x = 3

The border is 3 in wide along all edges of the table.

8 0
3 years ago
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Any help would definitely be appreciated. Thank you
Firdavs [7]

Answer:

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Step-by-step explanation:

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I think its A,B and E

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Step-by-step explanation:

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