Answer:
4 and 6
Step-by-step explanation:
Exterior angle is the angle between any side of a shape, and a line extended from the next side.
The correct answer is A, smaller than the size you started with. Because you increased the size by 30% of the original page, and then took 30% of the larger page, you're taking more away than you increased it by. For instance, if you had a page that was 60 units², and you increased it by 30% (18 units), you would get 78 units². However, if you took 30% of 78 (23.4) and subtracted it, you would get 54.6 units², which is smaller than 60 units².
Hope this helps!
Answer:
f'(1)=150ln(1.5)
Step-by-step explanation:
I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.
My work is in the attachment but I do want to address the elephant on the blackboard real quick.
You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)
Answer:
A: Designing the layout.
Step-by-step explanation:
Remember this: Geometry uses shapes.
Let's use the process of elimination.
D is eliminated because it does not use shapes.
C is eliminated because it uses numbers, not shapes.
B is eliminated because it uses science, not math or shapes.
A uses shapes in order to design a structure.
Answer:
Volumen A = 30000 cm³
Volumen B = 35000 cm³
Volumen C = 72000 cm³
Step-by-step explanation:
a) Volumen A
Largo = 50 cm, Ancho = 30 cm Alto = 20 cm
Volumen = Largo × Ancho × Alto
= 50 cm × 30 cm × 20 cm
= 30000 cm³
b) Volumen B
Largo = 35 cm, Ancho = 20 cm Alto = 50 cm
Volumen = Largo × Ancho × Alto
= 35 cm × 20 cm × 50 cm
= 35000 cm³
c) Volumen C
Largo = 40 cm, Ancho = 60 cm Alto = 30 cm
Volumen = Largo × Ancho × Alto
= 40 cm × 60 cm × 30 cm
= 72000 cm³
