Answer:
6536.25
Step-by-step explanation:
Given that :
Number of friends = 4
Cost of movie ticket = 725 each
At concession stand:
Pop corn = 850
Number of popcorn = 2
Large soda = 575
Number of large sodas = 3
Discount given = 15%
Amount spent on movie ticket :
725 * 5 = 3625
Amount spent at concession stand :
Cost of popcorn + cost of large soda
(850 * 2) + (575 * 3) = 3425
15% discount on purchase :
Discount = ((1-0.15) * 3425) = 2911.25
Total amount spent :
3625 + 2911.25
= 6536.25
Answer:
286 degrees and 143 degrees
Step-by-step explanation:
When line intersect the two vertical angle adds up to 180 degrees
To find the other vertical angle:
180 -37=143 degrees
So for two vertical angles
we take (180*2)-(37*2)=286 degrees
Answer:
2
Step-by-step explanation:
So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!
So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.
*In the future*
When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.
For example:
ln(x) and e^x are inverses so if I had a composition like this:
The answer to this would be 2 because these inverse functions "'cancel" out
So
Answer:
480 inches squared
Step-by-step explanation:
The formula for the area of a rhombus is pq/2, where p and q are the diagonals. In the picture, half of a diagonal is 10 (which I am assuming 10 does not represent the whole diagonal), so all of the horizontal diagonal is 20.
Applying the Pythagorean Theorem to this, we get 10^2 + x^2 = 26^2. After simplifying, this becomes 100 + x^2 = 676, and therefore x = 24. Multiply this by 2 to get the full vertical diagonal, the area is simply 48*20/2 which is 480 inches squared.
