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2 years ago

7 earn 5 coins

Mathematics

1 answer:

Sergio039 [100]2 years ago

5 0

The answer is 9 cubic units

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Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandt

Pachacha [2.7K]

Answer:

a = 9.849

b = 20.25

c = 491.03

Step-by-step explanation:

By using Pythagoras theorem in the right triangle BDC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = BD² + DC²

a² = 9² + 4²

a = $\sqrt{(81+16)}$

a = $\sqrt{97}$

a = 9.8489

a ≈ 9.849 units

By mean proportional theorem,

$\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}$

AD × DC = BD²

b × 4 = 9²

b = $\frac{81}{4}$

b = 20.25 units

BY Pythagoras theorem in ΔADB,

AB² = AD² + BD²

c² = b² + 9²

c² = (20.25)² + 9²

c² = 410.0625 + 81

c = 491.0625

c = 491. 063 units

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2 years ago

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frutty [35]

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2 years ago

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Sholpan [36]

Answer:

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2 years ago

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A packing box is being filled with packing peanuts. The box measures 1 1/2 feet by 1 1/2 feet by 2 feet. How many cubic feet of

Stolb23 [73]

Answer: $4.5\ ft^3$

Step-by-step explanation:

Given

Measurement of box $1\frac{1}{2}\times 1\frac{1}{2}\times 2$

suppose Length $L=1\frac{1}{2}=\frac{3}{2}\ ft$

Breadth $B=1\frac{1}{2}=\frac{3}{2}\ ft$

height $H=2\ ft$

Volume of Cuboid $=L\times B\times H$

Volume of Packaging box $V=\frac{3}{2}\times \frac{3}{2}\times 2$

$V=\frac{9}{2}\ ft^3$

4 0

2 years ago

How do I simplify (2k ^2 +5k-6) (3k-1)

wolverine [178]

(2k² + 5k - 6)(3k - 1)
(6k³ - 2k² + 15k² - 5k - 18k + 6)
6k² + 13k² - 23k + 6

Use the FOIL method to simplify the problem.
(FOIL stands for first outer, inner, last)

8 0

2 years ago