Answer:
1/6
Step-by-step explanation:
On an equal dice? 1/6
There are 6 sides to a dice.
The sum of all the probabilities is 1.
As each side has equal probability, their probability is 1 / number of options = 1/6.
Answer:
Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:
Since the length of the hypotenuse is twice as long as the shorter leg, we have:
The length of the short leg is: 25/2 = 12.5
Since the length of the longer leg is equal to the length of the shorter leg
multiply by square root of 3 we have:
The length of the longer leg is: 12.5 × √3 ≈21.65
=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15
The first answer is C. The information may be in a form that is difficult to use. And the second on is D. They must always be used with an equation.
Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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