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Veseljchak [2.6K]
3 years ago
10

Find the GCF of 72 and 81. Show your work. (3 points) Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two facto

rs. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer: B. GCF of 72 and 81 is 9.

C. 72+81 = 9(8+9)

Step-by-step explanation:

The greatest common factor of two or more numbers is the highest number that divides all of them.

Given numbers : 72 and 81

Prime factorization of 72 and 81:

72 = 2 x 2 x 2 x 3 x 3

81= 3 x 3 x 3 x 3

GCF(72,81) = 3x 3 =9

Consider 72+81 = 9 x 8 + 9 x 9     [72= 8 x 9, 81 = 9 x 9]

= 9(8+9)

Hence, B. GCF of 72 and 81 is 9.

C. 72+81 = 9(8+9)

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A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is
Vera_Pavlovna [14]
<span>Find missing length :
</span>
a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.


Find missing angle A:

\dfrac{a}{\sin(a)} =  \dfrac{c}{\sin(c)}

\dfrac{19}{\sin(a)} =  \dfrac{38.95}{\sin(90)}

\sin(a) = 0.488

a = sin^{-1} (0.488)

a = 29.2 \textdegree


Find Missing B:

\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}

\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}

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b = sin^{-1}(0.873)

b = 60.8 \textdegree


Answer: Missing length =  38.95 units ; Missing angles =  29.2°  and  60.8° 

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4 years ago
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