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3 years ago

How to divide a polygon into triangles?

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

By cutting shapes into triangles

patriot [66]3 years ago

4 0

The most remarkable and important property of triangles is that any polygon can be split up into triangles simply by drawing diagonals of the polygon. This fact forms the basis for understanding why the interior angles of polygons add up to 180(n-2) degrees.

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Which of the following is the linear parent function?

Naddika [18.5K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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If XY=18, YZ=14, and XZ=20, find the radius of each circle.

Pachacha [2.7K]

Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.

8 0

3 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

You picked one marble out of a bag that contains 6 red marbles, 5 white marbles, and 3 blue marbles. Find p(red and blue).

Tcecarenko [31]

Answer: p=9
explanation: 6 reds + 3 blues = 9.

6 0

3 years ago

Find the height of a triangle with an area of 42 square inches and base of 7 inches. Use the formula for the area of a triangle

disa [49]

A= 1/2bh

fill in formula with known numbers

42= 1/2(7)h
multiply numerators on right side

42= (1*7)/2h

42= 7/2h
divide both sides by 7/2

42 ÷ 7/2= h
to divide fractions, multiply by reciprocal/inverse of 7/2

42 * 2/7= h
multiply numerators

(42 * 2)/7= h

84/7= h

12 inches= h

ANSWER: The height is 12 inches.

Hope this helps! :)

7 0

3 years ago

Read 2 more answers