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3 years ago

Match The Term

Mathematics

2 answers:

Tatiana [17]3 years ago

5 0

Answer:

Radius matches with option F.

Arc matches with option D.

Chord matches with option C.

Secant matches with option E

Tangent matches with option A

Circumference matches option B

Step-by-step explanation:

Given the diagram in which chord is given, arc is given and secant is given.

we have to match the terms with their characteristics.

Radius is a segment between the centre of a circle and a point on the circle where the distance is same from each point of circumference to center.

Radius matches with option F.

Arc is the portion of the circle between points B and C is darkened represented in figure 2.

Arc matches with option D.

Chord of a circle is a line segment connecting points B and C which are on the circle shown in circle 1.

Chord matches with option C.

Secant is a line segment connecting points B and C which are on the circle shown in circle 3.

Secant matches with option E

Tangent that is a line intersects a circle in exactly one point.

Tangent matches with option A

Circumference is the distance around a circle.

Circumference matches with option B

GalinKa [24]3 years ago

4 0

Answer:

jyyj

Step-by-step explanation:

From the figure,

Radius matches with (F) that is a segment between the centre of a circle and a point on the circle.

Arc matches with (D) that is Circle A and the portion of the circle between points B and C is darkened.

Chord matches with (C) Circle A and a line segment connecting points B and C which are on the circle.

Secant matches with (E) that is Circle A and a line segment connecting points B and C which are on the circle.

Tangent matches with (A) that is a line intersects a circle in exactly one point.

Circumference matches (B) that is the distance around a circle.

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irinina [24]

9514 1404 393

Answer:

(i) 55.59 km/h

(ii) 3600 nautical miles ≈ 6670.8 km

(iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

(30 kt/h)(1.853 km/kt) = 55.59 km/h

(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

distance = speed × time

distance = (30 kt/h)(120 h) = 3600 nautical miles

= (55.59 km/h)(120 h) = 6670.8 km

(iii) The radius of the 30° latitude line is ...

(6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

s = rα

So, the change in the vessel's longitude is ...

α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

Additional comment

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.