Answer:
There are 10⁻⁷ hydrogen ions in one-liter water
Step-by-step explanation:
Hi there!
a. If the pH = 7.0, then:
-log(H) = 7.0
multiply both sides of the equation by -1
log(H) = -7.0
Apply 10ˣ to both sides
10^(log (H)) = 10⁻⁷
(H) = 10⁻⁷
There are 10⁻⁷ hydrogen ions in one-liter water.
Why 10^(log (H)) = (H)?
Let´s consider this function:
y = 10^(log x)
(Apply log to both sides)
log y = log 10^(log x)
(Apply logarithmic property: log xᵃ = a · log x)
log y = log x · log 10
(log 10 = 1)
log y = log x
y = x
(since y = 10^(log x) and y = x):
10^(log x) = x
That´s why 10^(log (H)) = (H)
Answer:
Hexagonal prism
Step-by-step explanation:
Since the base is a hexagon (six sided shape) and there are two of them, it is considered a prism. This is an Hexagonal prism.
Do not confuse it with hexagonal pyramid because:
1) It does not look like a pyramid
2) It only has one base
1) 0.78
2) 34.28
This is because the number in the 3rd decimal place for both numbers is 5 or above so it is rounded up rather than down.
Check the picture below
the triangles are similar, the angles are congruents then
so... just add them up, and divide by 2, or set them as rational
Sin(angle) = opposite leg / hypotenuse
Sin(45) = Opposite leg / 28
Opposite Leg = 28 * Sin(45)
Opposite Leg = 14 SQRT(2) = 19.8
