Answer:
The value of x = 3.42
Step-by-step explanation:
Formula:
Sin ∅ = Opposite side /Hypotenuse
From the figure we can see a right angled triangle.
One angle is given, hypotenuse = 10 and height = x.
To find the value of x
sin 20 = Opposite side/hypotenuse = x/10
x = 10 * sin 20
= 10 * 0.342 = 3.42
Therefore the value of x = 3.42
Answer:
24 liters of 20% alcohol
Step-by-step explanation:
Responda:
11
Explicação passo a passo:
Área do retângulo = comprimento * largura
Dado
Comprimento = 4
Largura = 3x + 2
Área = 44
Substitua na fórmula e obtenha x
44 = 4 (3x + 2)
44 = 12x + 8
12x = 44-8
12x = 36
x = 36/12
x = 3
Obtenha os lados mais longos
Lado mais longo = 3x + 2
Substitua x = 3
Lado mais comprido = 3 (3) + 2
Lado mais comprido = 11
Portanto, a medida do lado mais longo deste retângulo é 11
Answer:
A' is (1,1) B is (4,1) C is (1,-1)
Step-by-step explanation:
Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).
Answer:
$54
Step-by-step explanation:

Hope this helped :D