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3 years ago

Is the simplified form of 2 v3 · 2 v6 rational?

Mathematics

1 answer:

tatuchka [14]3 years ago

5 0

Answer:

Step-by-step explanation:

2√3 × 2√6

= 4√18

= 4√9*2

= 4( 2√2)

= 8√2

Just multiply the numbers under the radical together. √3 × √6 = √18. √18 can be written as √9*2, or 3√3.

√2 is irrational, so the answer will be irrational

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A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

7 0

2 years ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

PLEASE I NEED THIS TODAY!!!!

34kurt

Answer:

1/64 c

Step-by-step explanation:

7 0

3 years ago

Solve the following equation for A. Be sure to take into account whether a letter is

Sati [7]

Answer:

4/a

Step-by-step explanation:

8 0

2 years ago

The sum of the square of a<br> number and five times that<br> number is no more than 46.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

46/5 = 9.2

if you take the reverse of the square which is the square root of 9.2 you get about 3.

Thus proving that 3 squared times five is infact less then 46.

7 0

3 years ago

Read 2 more answers