Benjamin is riding a unicycle. the tire of his unicyle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. what is the distance benjamin travels in 100 seconds?

Benjamin travels 420 m in 100 seconds .

Step-by-step explanation:

Given :  The tire of his unicycle has a circumference of 2.8 m.

              The tire revolves 1.5 times per second

To Find:  What is the distance Benjamin travels in 100 seconds?

Solution :

Since we are given that he wheel makes 1.5 revolutions per second.

It makes revolutions in 100 seconds =

                                                            =

Thus it makes 150 revolutions in 100 seconds

Now, Each revolution travels 2.8 m.

So, 15 revolutions it will travel =

                                                 =

Thus Benjamin travels 420 m in 100 seconds .

i dont know sorry

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15