You need to upload the image if you want the answer.
However, I can explain how to solve the problem so that you can determine the angle.
cos theta = side opposite of theta divided by the hypotenuse.
Reminder that the hypotenuse is the side NOT touching the 90° angle.
Hope this helps! If not, upload an image of the drawing.
Answer:
![24\sqrt[3]{x^{7}}](https://tex.z-dn.net/?f=24%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%7D)
Step-by-step explanation:
The exponent rule that applies to products like this is ...
... (a^b)(a^c) = a^(b+c)
In your problem, this is
... x^(1/3)·x^2 = x^(1/3 +2) = x^(1/3 +6/3) = x^(7/3)
This fractional exponent translates to the root of a power:
... = (x^7)^(1/3)
In typeset form, it is ...
![\sqrt[3]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%7D)
You have already figured correctly that the coefficient is 3·8 = 24.
21.78, take and multiply 2.79 by 5 ( there are 5 week days), and add the 7.83 once because it is the price for the two coffees. So weekly he spends roughly 21.78 on coffees