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ipn [44]
4 years ago
14

Is 13 cm, 14 cm, and 15 cm a right triangle?

Mathematics
1 answer:
scoray [572]4 years ago
8 0

Answer:

Not a triangle

Step-by-step explanation:

First you have to use the Pythagorean theorem

a^2 +b^2=c^2

13^2+14^2=15^2

13*13=169

14*14=196

15*15=225

169+196=225 is not true

This IS NOT a right triangle

I hope this helps!

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
A salesperson sells $2200 in merchandise and earns a commission of $286.
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Answer:

13%

Step-by-step explanation:

Commission rate = commission / value sold

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3 years ago
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A polling company reported that ​% of surveyed adults said that Complete parts​ (a) through​ (d) below.
SOVA2 [1]

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

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3 years ago
How can transformations help in the real world?
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They could help people understand AI but I mean, the things are made of 'unobtainium' so... I doubt anyone would be able to figure out their hardwiring in the first place.

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A.You are told that a company's profits this year are 120% of their profits from last year. If their
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Answer:

29,160,000

Step-by-step explanation:

24,300,000x120%=29,160,000

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4 years ago
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