All categories

2 years ago

What is the value of x?

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

You might be interested in

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Use the equation 0 = ?16t2 + 38

mario62 [17]

Answer:

t = 2.5 s

Step-by-step explanation:

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :

$16t^2 + 38.8t + 3 =0$

The above equation is a quadratic equation. The general equation is :

$ax^2+bx+c=0$

Here, a = 16, b = 38.8 and c = 3

The solution of quadratic equation is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-38.8\pm \sqrt{(38.8)^2-4\times (-16)\times 3} }{2\times (-16)}\\\\t=\dfrac{-38.8+\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}, \dfrac{-38.8-\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}\\\\t=-0.075\ s,2.5\ s$

So, at t = 2.5 s the balloon is in air.

8 0

2 years ago

30+86=2+5(56-8) please help

777dan777 [17]

It’s a zero solution

8 0

3 years ago

Read 2 more answers

the average adult horse needs 2/5 bale of hay each day to meet dietary requirements. A horse farm has 44 bales of hay?

Serhud [2]

How many 2/5's fit into 44
2/5 times x=44
multiply both sides by 5/2 to clea fraciton (5/2 times 2/5=10/10=1)
x=220/2
x=110
will support for 110 days

6 0

2 years ago

Without dividing, select the number that is divisible by 3.

Fittoniya [83]

Answer:

The answer is B: 1125

Step-by-step explanation:

I divided it for you and it is the only answer that did not have a decimal.

6 0

2 years ago

Y = 4x

kifflom [539]

If they have a different slope they are intersecting lines. If they have the same slope and the same y-intercept they are coinciding lines...

y=4x, m=4, b=0

3x+2y=10

2y=-3x+10

y=-1.5x+5, m=-1.5, b=5

Since this has a different slope they are intersecting lines...

4 0

3 years ago