Answer:
Based on the assumption that the angle of the triangle at the cave entrance is a right angle, the angle Devora turned before walking to the treasure chest is approximately 57 degrees.
Step-by-step explanation:
A sketch of the triangle formed is attached where E is the entrance of the cave, C is the treasure chest and T is the treasure itself.
Using the cosine trigonometric ratio, we have that

Finding the arccosine of 0.5393 gives
Answer:
Im not sure what it is to do but the answer i got was -886.6
Answer: the waiter earns $7 for each hour
Step-by-step explanation:
You take away the tips from the total, then divide by the 6 hours of work. You get $7.
Answer:
-3
The problem:
The sum of four consecutive integers is - 18. What is the greatest of these
integers?
Step-by-step explanation:
If n is the first integer, then n+1 is the second integer, n+2 is the third integer, and n+3 is the fourth integer in consecutive order.
For example if n=8, we are saying n+1=9,n+2=10, and n+3=11, which I think you can see that 8,9,10,11 are consecutive.
So the sum is -18 which means:
n+(n+1)+(n+2)+(n+3)=-18
4n+6=-18
Subtract 6 on both sides:
4n=-18-6
Simplify:
4n=-24
Divide both sides by 4:
n=-6
If n=-6,
then:
n+1=-6+1=-5
n+2=-6+2=-4
n+3=-6+3=-3.
So the 4 consecutive integers whose sum is -18 is: -6,-5,-4, and -3.
The greatest of these integers is -3.
Answer:
2
Step-by-step explanation: