The length of the video is
5:25 -2:30 -0:30
= 5:25 -3:00
= 2:25
If the second showing starts on time, it will be over at
5:25 +2:25 = 7:50
The second showing is not over by 7:45 even when it starts on time. It will NOT be over by 7:45 when it starts late.
Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is:
The formula for the area of a triangle is A = (base · height)/2, but when we look at this problem, there's no base or height!
Looking at the triangle on the right, we can use the Pythagorean Theorem to find the height:
h² + 16² = 20²
h² + 256 = 400
h² = 144
h = ± 12
In this case, the height is 12 because you can't have negatives when you are working with lengths of sides and other things like this in geometry.
So now we've found the height, but we still don't know the full base! So, we can use the height that we just found to use the Pythagorean Theorem for the left triangle!
B² + 12² = 15²
B² + 144 = 225
B² = 81
B = ±9
So once again, our answer is just 9.
But, because the base is CB, we have to add:
b = 9 + 16
b = 25.
Now we have the base and height, so we can put them into our formula to solve for the area of the triangle:
A = (25 · 12) / 2
A = 300 / 2
A = 150
Answer:
it will be 5.5 hours have a nice day
Answer:
$377,358.49
Step-by-step explanation:
Let, the actual sales = $X
Given total sales amount including 6% of sales tax = $400,000
Therefore, (X+6% of X)= $400,000
⇒(X+X·6÷100)= $400,000
⇒(X+0.06X)= $400,000
⇒ 1.06X= $400,000
∴ X= $400,000÷ 1.06 = $ 377,358.49
Hence, the actual sales = $ 377,358.49
