The answer is either c or b because i think they are the same
We can use the Cosine Law ( π / 3 = 60° ):
c² = a² + b² - 2 a b cos C
c² = 4² + 3² - 2 · 4 ·3 · cos 60° = 16 + 9 - 24 · 1/2 = 25 - 12 = 13
Answer:
The length of the third side of a triangle is c = √ 13 ≈ 3.6
Answer:
Step-by-step explanation:
Let's start with the equation of the volume of a cylinder:
Where:
- r is the radius of the cylinder (r=D/2=24/2=12 cm)
- h is the high of the cylinder (h = 60 cm)
We can us partial derivatives to find the differential of this volume. So we will have:
(1)
Now:
dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.
Now we just need to put all of this definitions in the equation (1).
I hope it helps you!
Answer:
10
Step-by-step explanation
i took the test so i know this is right and i dont know if you still need the answer but here you go evidence shown in photo
Okay so basically, you subtract 18 on both sides since the 18 doesn't work, making the equation
<span>x</span>²<span> - 10x = -18
So then you add (b/2)</span>²<span>, which is 25, to both sides, to get
</span><span>x</span>²<span> - 10x + 25 = 7
</span><span>After this, you factor.
</span><span>(x-5)(x-5) = 7
</span><span>Then you simplify.
(x-5)</span>²<span> = 7
Then you solve for x.
</span>√(<span>x-5)</span>²<span> = </span>√7
x-5 = (+ or -)√7
~ x= 5 (+ or -)√7 ~
Hope this helps!