Answer:
Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.
The total cost of both games is:
X + Y
We know that both games cost just above AED 80
Then:
X + Y > AED 80
From this, we want to prove that at least one of the games costed more than AED 40.
Now let's play with the possible prices of X, there are two possible cases:
X is larger than AED 40
X is equal to or smaller than AED 40.
If X is more than AED 40, then we have a game that costed more than AED 40.
If X is less than or equal to AED 40, then:
X ≥ AED 40
Now let's take the maximum value of X in this scenario, this is:
X = AED 40
Replacing this in the first inequality, we get:
X + Y > AED 80
Replacing the value of X we get:
AED 40 + Y > AED 80
Y > AED 80 - AED 40
Y > AED 40
So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.
So we proven that in all the possible cases, at least one of the two games costs more than AED 40.
Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.
Answer:
w=6ft
Step-by-step explanation:
72 divided by 12 is 6
Using the formula
A=wl
Solving for w
w=A
l=72
12=6ft
Jae has finished 25% of her homework.
<span><span>4/16
</span></span><span><span>=<span>1/4
</span></span></span><span><span>=1÷4
</span></span><span><span>=0.25</span></span>
Answer:
Sure
Step-by-step explanation: