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2 years ago

A triangle has sides with lengths of 5 meters, 6 meters, and 8 meters. Is it a right triangle?

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

Answer:

No, it is not a right triangle

Step-by-step explanation:

A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.

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How to find the volume of a pyramid

Semmy [17]

Answer:

The formula is

$v = \frac{lwh}{3}$

Step-by-step explanation:

hope this helps

3 0

3 years ago

Solve x^3-7x^2+7x+15

ruslelena [56]

Step-by-step explanation:

\underline{\textsf{Given:}}

Given:

\mathsf{Polynomial\;is\;x^3+7x^2+7x-15}Polynomialisx

+7x

+7x−15

\underline{\textsf{To find:}}

To find:

\mathsf{Factors\;of\;x^3+7x^2+7x-15}Factorsofx

+7x

+7x−15

\underline{\textsf{Solution:}}

Solution:

\textsf{Factor theorem:}Factor theorem:

\boxed{\mathsf{(x-a)\;is\;a\;factor\;P(x)\;\iff\;P(a)=0}}

(x−a)isafactorP(x)⟺P(a)=0

\mathsf{Let\;P(x)=x^3+7x^2+7x-15}LetP(x)=x

+7x

+7x−15

\mathsf{Sum\;of\;the\;coefficients=1+7+7-15=0}Sumofthecoefficients=1+7+7−15=0

\therefore\mathsf{(x-1)\;is\;a\;factor\;of\;P(x)}∴(x−1)isafactorofP(x)

\mathsf{When\;x=-3}Whenx=−3

\mathsf{P(-3)=(-3)^3+7(-3)^2+7(-3)-15}P(−3)=(−3)

+7(−3)

+7(−3)−15

\mathsf{P(-3)=-27+63-21-15}P(−3)=−27+63−21−15

\mathsf{P(-3)=63-63}P(−3)=63−63

\mathsf{P(-3)=0}P(−3)=0

\therefore\mathsf{(x+3)\;is\;a\;factor}∴(x+3)isafactor

\mathsf{When\;x=-5}Whenx=−5

\mathsf{P(-5)=(-5)^3+7(-5)^2+7(-5)-15}P(−5)=(−5)

+7(−5)

+7(−5)−15

\mathsf{P(-5)=-125+175-35-15}P(−5)=−125+175−35−15

\mathsf{P(-5)=175-175}P(−5)=175−175

\mathsf{P(-5)=0}P(−5)=0

\therefore\mathsf{(x+5)\;is\;a\;factor}∴(x+5)isafactor

\underline{\textsf{Answer:}}

Answer:

\mathsf{x^3+7x^2+7x-15=(x-1)(x+3)(x+5)}x

+7x

+7x−15=(x−1)(x+3)(x+5)

\underline{\textsf{Find more:}}

Find more:

6 0

3 years ago

Maritza remembers her PIN because it is between 1,000 and 1,500 and it is the product of two consecutive prime numbers. What is

valentina_108 [34]

Answer:

Step-by-step explanation:

<u>Prime numbers</u>

These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

$\sqrt{1000}\approx 31.6$

Thus, the first prime to consider is 31. Write the consecutive primes from 31:

31 , 37 , 41 , 43

We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147

4 0

3 years ago

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

loris [4]

The answer would be A. 15mi

4 0

2 years ago

On a particular Saturday, 60% of the visitors to an art museum were students. If 144 visited the museum, how many total visitors

Bad White [126]

Answer:

240 visitors

Step-by-step explanation:

We are given the following in the question:

Percentage of visitors that are student to art museum = 60%

Total number of students to museum = 144

We have to find the total number of visitors to the museum.

Let x be the total number of visitors to the museum.

Thus, we can write the equation:

$60\%\times x = 144\\\\\dfrac{60}{100}\times x = 144\\\\\Rightarrow x = 144\times \dfrac{100}{60}\\\\\Rightarrow x = 240$

Thus, there were 240 visitors to the art museum on that day.

6 0

3 years ago