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PSYCHO15rus [73]
3 years ago
12

The distance between two lakes is 300 miles. On a map, the measured distance between the lakes is three-fourths of an inch. What

is the scale of the map?
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
1 inch = 400 miles The scale gives the relationship between the measurements of the drawing or model and the measurements of the real object.
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The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons
LenaWriter [7]

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

5 0
3 years ago
A sphere of radius 3 is inscribed in a cylinder. What is the volume inside the cylinder but not inside the sphere?
Fed [463]

Answer:

18pi units³ or 56.5 units³ (3 sf)

Step-by-step explanation:

pi×r²×h - (4/3)(pi×r³)

r = 3 h = 2r = 6

pi(3²×6 - (4/3)(3³))

18pi units³

8 0
3 years ago
Pythagorean Brotherhood was a secret society but a little is known about it. Suggest principles of their education. Discuss the
yan [13]

Answer:

They use Phylosophy as a means of Spiritual cleansing.

The Pythagorean theorem.

The Demand that members must live in strict secrecy and loyalty.

The appeal to certain symbols like Tetraktys etc.

They believe the soul is destined for heaven,where it will United with the Divine.

They believe that reality including music and astronomy when at their repeat level are Mathematical in nature.

Step-by-step explanation: The Pythagorean brotherhood is believed to have originated from Sounthern Italian city known as Croton. It was started by a man called Pythagoras from Samos Greece, he is a controversial phylosopher.

The Pythagorean brotherhood formulated one the most widely used Theorems in Geometry which states that THE SQUARE OF THE HYPTHEMUS OF A RIGHT ANGLED TRIANGLE IS EQUAL TO THE SQUARE OF THE OPPOSITE AND THE BASE.

6 0
3 years ago
Write a polynomial equation of least degree with roots 2, -1 and 4.
Rasek [7]
A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.
3 0
3 years ago
Describe how to represent 53 – 34 on a number line.
vampirchik [111]
C- Begin at 53, travel 34 units to the left
3 0
3 years ago
Read 2 more answers
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