Step-by-step explanation:
Zn + 2HCl => ZnCl2 + H2
Moles of Zn = 13g / (65.38g/mol) = 0.198mol
Volume of HCl = 0.396mol / (0.25mol/dm³) = 1.58dm³.
Volume of H2 = 0.198mol * (22.4dm³/mol) = 4.43dm³.
 
        
             
        
        
        
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Let's plug in our numbers and variable.

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable. 

Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
 
        
             
        
        
        
$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.
<u>Step-by-step explanation:</u>
Harlie invests $325 in an account.
- Principal, P = $325
 - Interest rate, r = 8% ⇒ 0.08
 - Number of years, t = 15
 
<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>
⇒ 
<u></u>
⇒ 
⇒ 
Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.
<u>Money Charlie has after 15 years :</u>
It is given by the formula,
⇒ Amount = Principal + Interest.
⇒ 325 + 390
⇒ 715 dollars.
∴ The money does Charlie have after the 15 years is $715.