Answer:
3pi/4 and -pi/4
Step-by-step explanation:
We can simplify -6/6 to -1.
Therefore, this function can be simplified to arctan(-1).
Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.
Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.
If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.
If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.
Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.
Answer:
25 dm²
Step-by-step explanation:
La superficie de nuestra pared tiene 12.5 m²
Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel
12.5 m² /50 = 0.25 m²
Sabemos que la superficie de un cuadrado se calcula como l²
Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²
Esa es la medida de cada papel.
Si calculamos la medida de cada lado será:
√ (25 dm²) = 5 dm
En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie
Si convertimos a m² = 0.25 m²
0.25 m² es la medida que cubre 1 panel de papel
para cubrir 12.5 m² necesitariamos (12.5 . 1) /0.25 = 50 paneles.
The product of the two segments from the two chords are equal.
4(4+5)=(x-2)(x-2+x+4) or 36=(x-2)(2x+2) or x^2-x-20=0 or (x-5)(x+4)=0
So x=5.
Answer:
30
Step-by-step explanation:
6*4+2*9/3
24+2*9/3
24+6
30
