Answer:



Step-by-step explanation:
Given



Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula

For AB





So:

For BC





For AC





So, we have:



By representation



So, we have:



By cosine laws, the angles are calculated using:







Collect like terms


Solve for 


Take arc cos of both sides





Collect like terms


Solve for 


Take arc cos of both sides


For the third angle, we use:
--- angles in a triangle
Make C the subject



The answer is 10 quarters because 10 quarters would be $2.50. You would need 3 more nickles to get $2.65. 10 would be 7 more than 3.
Answer:
The difference between the distances they walked is 600 meters.
Step-by-step explanation:
Let's calculate the distance traveled by Nichol and Sakura with the following equation:

Where:
v: is the speed
t: is the time
The distance traveled by Nichol is:

And the distance traveled by Sakura is:

Hence, the difference between the distances they walked is:

Sakura traveled 600 meters more than Nichol.
Therefore, the difference between the distances they walked is 600 meters.
I hope it helps you!
Answer:
the answer is c
Step-by-step explanation:
see picture
Given:
f(x) is an exponential function.


To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is

For, x=-0.5,

...(i)
For, x=1.5,

...(ii)
Divide (ii) by (i).


Taking square root on both sides, we get


Putting b=0.882 in (i), we get




Now, the required function is

Putting x=0.5, we get



Therefore, the value of f(0.5) is 23.81.