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Verizon [17]
3 years ago
15

Which expression is equivalent to (9⋅5)2/3

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Hey there!

(9 * 5) 2/3

9 * 5 = 45

= 45(2)/3

45(2) = 90

= 90/3

= 30

Answer: 30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Leokris [45]3 years ago
8 0

Answer:

30

Step-by-step explanation:

  • \small \sf = \frac{( 9  ×  5 ) 2 }{3} \\

Multiply 9 and 5 to get 45.

  • \small \sf =  \frac{ 45 × 2 }{3} \\

Multiply 45 and 2 to get 90.

  • \small \sf = \frac{ 90 }{3} \\

Divide 90 by 3 to get 30.

  • = 30
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Answer:

The area of a parallelogram is 360 in.²

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Therefore, ∠GAB + ∠HBA = 90°

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We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

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GH = √(GP² + HP²)

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The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

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