Respuesta:
37 estudiantes
Explicación paso a paso:
El número de niños dividido por el número de niñas = 0,48
Dejar :
x = número de niños; y = número de niñas
Tenemos ;
x / y = 0,48
Conversión a decimal;
0.48 es equivalente a 48/100
Reduciendo a la forma más simple:
48/100 = 12/25
Comparando:
x / y = 12/25
x = 12; y = 25
El menor número posible de estudiantes:
x + y = 12 + 25 = 37 estudiantes
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, <u>cos(A + B) = cos 90º = 0</u>
Answer:
30 s
Step-by-step explanation:
When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.
●h= 0
● -12t^2+360t =0
● t(-12t +360) = 0
● t = 0 or -12t +360 =0
● t=0 or -12t = -360
● t=0 or 12t =360
● t=0 or t=360/12
● t=0 or t= 30
The equation has two solutions.
The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.
So the ball hits the ground after 30 s.
Answer: The solution is,
or 
Step-by-step explanation:
Given compound inequality,
-8x + 14 ≥ 60 or -4x + 50 < 58,
By the subtraction property of inequality,
-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,
-8x ≥ 46 or -4x < 8
By the division property of inequality,
or 
Using property a > b ⇒ - a < -b,
or
