Answer:
x = -3
x = 7
Step-by-step explanation:
If either term is zero the product is zero
(2x + 6)(x - 7) = 0
2x + 6 = 0
2x = -6
x = -3
x - 7 = 0
x = 7
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
21 pacientes tienen problemas cardíacos de los 70 pacientes diagnosticados
Step-by-step explanation:
Paciente con problema cardíaco del total de pacientes diagnosticados = 30%
Total de pacientes que van al hospital en un día = 70
El total de pacientes con problemas cardíacos entre los 70 pacientes diagnosticados es
30% de 70 = 30/100 * 70 = 21
