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3 years ago

3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle?

Mathematics

2 answers:

lawyer [7]3 years ago

6 0

Answer:

Step-by-step explanation:

the smallest possible number will be 2.

2 inches/centimeters of each 3 sides of the triangle

Nitella [24]3 years ago

5 0

Answer:

the smallest possible perimeter is 6

Step-by-step explanation:

since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)

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Solve the inequality 5x + 3 2 48

Fiesta28 [93]

Answer:

The vertical intercept is (-3248/5,0)

Step-by-step explanation:

if that helps

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3 years ago

20% of 150 is what number?

Tatiana [17]

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3 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

How to solve this probability homework? Please explain. Thanks!

Natali [406]

They are asking for the outcome of A and B, which means you need to include the results of both together.

The result would be {4,5,6,7,10,11,12}

Since there are no common numbers in either A or B, they would be mutually exclusive.

The answer would be the last one.

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4 years ago

Give an example of an integer that is not a natural number.

harkovskaia [24]

Zero is an integer but not a natural (counting) number.

Most square roots of integers are not rational numbers.

√2, √3, √5, √6, √7, and (pi) are real, irrational numbers.

4 0

3 years ago