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2 years ago

The set of three lengths that will form a right triangle are

Mathematics

1 answer:

Bad White [126]2 years ago

7 0

Answer:

O 16,30,34

Step-by-step explanation:

To confirm, use Pythagorean theorem to check.

(16)² + (30)² = (34)²

256 + 900 = 1156

=> It is correct

=> Therefore, this set of three lengths will form a right triangle

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((2x^9)(y^n))((4x^2)(y^10))=(8x^11)(y^20)

tino4ka555 [31]

We are given

$((2x^9)(y^n))((4x^2)(y^{10}))=(8x^{11})(y^{20})$

Firstly, we simplify left side

Left side is

$((2x^9)(y^n))((4x^2)(y^{10}))$

we will make all x terms together

and y terms together

$(2x^9)(4x^2)(y^n)(y^{10})$

$2\times 4(x^9)(x^2)(y^n)(y^{10})$

$8(x^9)(x^2)(y^n)(y^{10})$

we can multiply left side by using exponent rule

$a^m\times a^n=a^{m+n}$

$8(x^{9+2})(y^{n+10})$

$8(x^{11})(y^{n+10})$

now, we can set them equal

$(8x^{11})(y^{n+10})=(8x^{11})(y^{20})$

Since, both sides have x,y and 8

and both are equal

so, their exponent must be equal

so, exponent of y must also be equal

we get

$n+10=20$

$n=10$ ................Answer

3 0

3 years ago

Read 2 more answers

The perimeter of a regular pentagon is 45 inches. Find the length of each side

Schach [20]

Answer: 9

Step-by-step explanation: pentagon has 5 sides so divide 45 by 5

4 0

2 years ago

The perimeter of a playing card is 30 centimeters. The area is 50 square centimeters. What are the dimensions of the playing car

Arlecino [84]

Step-by-step explanation:

We get two equations here. One for the area and one for the perimeter. The area gives us x×y=50. The perimeter, if we have a rectangle, x+y+x+y=30=2x+2y. For this to work we need to make a simple expression for x or y. Let's go with x here. 2x+2y=30 so x=15-y. if we fill that in the other equation we get (15-y)×y=50 (see picture). y=5 or y=10. If we fill in x×5=50 we get x=10 and vice versa. So the dimensions are 5 centimeters by 10 centimeters