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4 years ago

An equailateral triangle has a height of 52cm.Determine the length of each side to the nearest hundredth of a centimeter

Mathematics

2 answers:

neonofarm [45]4 years ago

4 0

Each side is 52 cm. because equilateral triangles have equal lengths on each side. <span />

natali 33 [55]4 years ago

3 0

Answer:

Each side is 60.04 to the nearest hundredth

Step-by-step explanation:

Equilateral triangle have three side equal . The internal angle of equilateral triangle are congruent .Each angle is 60° .

The picture above illustrate an equilateral triangle with the height .

height = 52 cm

The length of one side of an equilateral triangle is same for all length.

using the SOHCAHTOA principle,

sin 60° = 52/side

cross multiply

side × 0.8660254038 = 52

side = 52/0.8660254038

side = 60.04442799

Each side is 60.04 to the nearest hundredth

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Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

3. The zeros are: -3, -2 and 3

Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)= x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

There are 3 x, so it will be x^3= odd

The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

y-intercept = g(0)= (0+3)(0+2)(0-3)

y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros

$x_{1}$ +3=0

$x_{1}$ =-3

$x_{2}$ +2=0

$x_{2}$ =-2

$x_{3}$ -3=0

$x_{3}$ =3

The zeros are: -3, -2 and 3

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