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BlackZzzverrR [31]
3 years ago
11

State if polygons are similar

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0
Yes similar polygons are are two polygons with the same shape but not the same size
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A driver spent 45minutes to cover a distance of 120km. what is the speed of the driver in km per hour.
drek231 [11]

Answer:

  • The speed is 160 km /h

Step-by-step explanation:

A driver spent 45minutes to cover a distance of 120km

Convert minutes to hour

  • 45 min = 45 /60 hr = 3/4 hr

Use the distance equation

  • d = ts

Find the speed

  • s = d/t

Substitute the distance and time value and find the value of speed

  • s = 120 / (3/4) = 120 * 4/3 = 160 km /h
4 0
2 years ago
Given the geometric sequence where a1 = 2 and r = √2 find a9<br><br> 32<br> 32√2<br> 256<br> 256√2
pentagon [3]
A9=a1*r^8

a9= 2*V2^8=2*2^4=2^5

⇒ a9 = 32
4 0
3 years ago
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P(x) =x and q(x) = x-1Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational functio
Arte-miy333 [17]

we have the following function

\frac{p(x)}{g(x)}=\frac{x}{x\text{ -1}}

where x is between -9.4 and 9.4 and y is between -6.2 and 6.2.

We will first draw the function

from the graph, we can see that the zeroes are all values of x for which the graph crosses the x -axis

In this case, we see that that the only zero is at x=0.

Now, we have that the asymptotes are lines to which the graph of the function get really close to. On one side, we can see that as x goes to infinity or minus infinity, the values of the function get really close to 1. So the graph has a horizontal asymptote at y=1. Also, we can see that as x gets really close to 1, the graph gets really close to the vertical line x=1. So the graph has a vertical asymptote at x=1.

Recall that the domain of a function is the set of values of x for which the function is defined. From our graph, we can see that graph is not defined when x=1. So the domain of the function is the set of real numbers except x=1. Now, recall that the range of the function is the set of y values of the graph. From the picture we can see that the graph has a y coordinate for every value of y except for y=1. So, this means that the range of the function is the set of real numbers except y=1.

From the graph, we can see that we cannot draw the graph having a continous drawing. That is, imagine we take a pencil and start on one point on the graph on the left side. We can draw the whole graph on the left side, but we cannot draw the graph on the right side without lifting the pencil up. As we have to "lift the pencil up" this means that the graph is not continous

Finally note that as we have a vertical asymptote at x=1 and horizontal asymptote at y=1 we have that when y is 1 or x is 1, the function y=f(x)/g(x) is undefined

5 0
1 year ago
Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
3 years ago
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PLEAS HELP FAST !!<br><br> solve the equation below. please include the steps. <br><br> x^2+8x+15=0
Nataliya [291]
(x + 5)(x + 3)
x+5=0, solve it and you get -5.
x+3=0, solve it and you get -3.

The answers are -5 and -3.
4 0
3 years ago
Read 2 more answers
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