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3 years ago

Which number number produces a irrational number when multiplied by 0.5

Mathematics

2 answers:

Andrej [43]3 years ago

6 0

Root 16 = 4, 4*1/2= 2

1/3*1/2= 1/6

5/9*1/2= 5/18

Root 3 = 1.73205...*1/2= 0.866025...

Final answer: D is irrational when multiplied by 1/2 because it cannot be represented by a ratio of two integers. It is also a nonrepeating and nonterminating decimal.

Hope this helps!

stiks02 [169]3 years ago

4 0

The Correct Answer is D

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The figure is to be rotated 1/4 (90 degrees) turn about point P.

Mariulka [41]

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4 years ago

The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of –30 ft/sec is mod

Contact [7]

Answer:

Option 3.

Step-by-step explanation:

The given function is

$h(t)=-16t^2-30t+124$

where, h(t) is the height of a small rock falling from the top of a 124-ft-tall building and t is the time in seconds.

It is a downward parabola.

Equate the function equal to 0, to find the time at which the rock touch the ground.

$-16t^2-30t+124=0$

If $ax^2+bx+c=0$ , the according to the quadratic formula

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula, we get

$t=\dfrac{-(-30)\pm \sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=\dfrac{30+\sqrt{(-30)^2-4(124)(-16)}}{2(-16)},\dfrac{30-\sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=-3.875, 2$

Time cannot be negative. So, the rock remain in the air in the interval 0 < t < 2.

Therefore, the correct option is 3.

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3 years ago

Given: 3x < -6. <br><br> Choose the solution set.

timofeeve [1]

You want to isolate the variable using the division property of inequality:
3x / 3 < -6 / 3 = x < -2. The sign of the inequality stays the same since you did not change the order of the inequality nor did you divide by a negative number on both sides. Hopefully this helps!

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3 years ago

Read 2 more answers

how many different lock combinations can be made using the digits 8, 2, 8 and 8 if the 2 is only used once in each combination?

alexandr402 [8]

2,8,8,8

8,2,8,8

8,8,2,8

8,8,8,2

4 combinations.

Hope this helps!

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