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maxonik [38]
3 years ago
7

Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

  AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

  1 +(√3)/2 = h

and half the base of the triangle is ...

  h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

  A = (1/2)bh

  = (2 +√3)/2 × (3 +2√3)/6

  = (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

  (square area)/(triangle area) = 12/(12+7√3)

  (square area)/(triangle area) = 28√3 -48

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Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o
KengaRu [80]

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

6 0
3 years ago
What is the quotient of -8(^6)/4x(^-3)
Anna [14]

For this case we must find the quotient of the following expression:

\frac {-8x ^ 6} {4x ^ {- 3}} =

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the expression we have:

\frac{-8}{4}*x^6*x^3

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

-2x^{6+3}

Answer:

-2x ^ 9

8 0
3 years ago
how do i get the answer and what is the answer? im looking for a right answer not just someone who types in the mayo mayo
ankoles [38]

Answer:

x = 51°

Step-by-step explanation:

The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:

180° - 94° = 86°

That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:

43° + 86° = 129°

180° - 129° = 51°

5 0
3 years ago
What is the greatest common factor (gcf) for 26 and 78?<br>6<br><br>13<br><br>26 <br><br>3<br><br>2
saul85 [17]

For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:

26: 1,2,13,26

78: 1,2,3,6,13,26

Thus, the GCF of both numbers is 26

Answer:

26

Option C

8 0
3 years ago
What did the magician do when he lost his temper?
Annette [7]
I have no idea what did he do
7 0
4 years ago
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