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3 years ago

The definition of a circle

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

Answer:

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

Explanation:

Oxford dictionary definition

Andrews [41]3 years ago

5 0

Step-by-step explanation:

a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

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3 years ago

What is the equation of a line that passes through the points (3,6) and (8, 4)?

Dahasolnce [82]

Step-by-step explanation:

slope=4-6/8-3=-2/5

chosing another point (x,y) we have

y-4/x-8= -2/5

y-4=-2/5(x-8)

y= -2/5x+16/5+4

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3 years ago

Sandy scored 4 goals and Matt scored 6. How many goals did they score between them?

malfutka [58]

Answer:

4+6=10

Step-by-step explanation:

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3 years ago

Find the zero of: f(x)=5x+195

monitta

Answer:

(x + 39) or x = -39

Step-by-step explanation:

Set f(x) to 0

0 = 5x + 195

5x = -195

x = -39

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3 years ago

An item costs $370 before tax, and the sales tax is $14.80.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

370.00x4%=$14.80

3 0

3 years ago