Ask question

Ask question

All categories

4 years ago

5

Each leg of 45 degree -45 degree -90 degree triangle measure 12 cm what is the length of the hypotenuse

1 answer:

Yuri [45]4 years ago

3 0

A = b = 12 cm

<span>Pythagorean theorem
</span>
$a^2+b^2=c^2\\\\ c^2=a^2+a^2\\\\ c^2=2a^2\\\\ c=\sqrt{2a^2}$

$c=a\sqrt2$ formula

$c=12\sqrt{2} \ (cm)$ <-- Answer

You might be interested in

This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the

Advocard [28]

No , when you subtract 564-92= 472 & the other player has a average of 550

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%28%7B%20%7Bx%7D%5E%7B2%7D%20%20-%204%7D%29%5E%7B5%7D%20%28%20%7B4x%20-%205%7D%29%5E%7B4%7D

Makovka662 [10]

Let $u=x^2-4$ and $v=4x-5$ . By the product rule,

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}$

By the power rule, we have $(u^5)'=5u^4$ and $(v^4)'=4v^3$ , but $u,v$ are functions of $x$ , so we also need to apply the chain rule:

$\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}$

and we have

$\dfrac{\mathrm du}{\mathrm dx}=2x$

$\dfrac{\mathrm dv}{\mathrm dx}=4$

So we end up with

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3$

Replace $u,v$ to get everything in terms of $x$ :

$\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3$

We can simplify this by factoring:

$10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)$

$=2(x^2-4)^4(4x-5)^3(28x^2-57)$

7 0

3 years ago

Which combination of three side lengths will NOT form a triangle?

SpyIntel [72]

Answer:

The combination 9 mm, 6mm, 5mm will not form a triangle.

9 +6 = 15 > 5

6+5= 11 < 9

9+5 =14 > 6

Explanation :

because the side length of triangle does not obey triangle inequality theorem.

The triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

4 0

3 years ago

Find the next two terms in this<br> sequence.<br> 1, 2, 6, 24, 120, [?],[]

Bogdan [553]

1x1=1

1x2=2

2x3=6

6x4=24

24x5=120

120x6=720

720x7=5040

the answer is 720 and 5040

4 0

2 years ago

What is 500x500?<br> answer plz

Blababa [14]

Answer:

250000

Step-by-step explanation:

500x500=250000

8 0

3 years ago

Read 2 more answers