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Savatey [412]
3 years ago
15

The height of a square pyramid-shaped gift box is one half the length of

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

(27000)⅓ = a

30 = a

Recall:

h = 1/2a

h = 1/2(30)

h = 15 inches

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A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
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B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

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Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

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