Answer:
‹A = 141°
‹B = 28°
‹C = 11°
*These angles are rounded to the nearest whole*
Step-by-step explanation:
Because you are only given sides you can find an individual angle measures with the inverse law of cosines.
Remember the side opposite of the angle corresponds to that angle.
a² = b² + c² - 2bc cos(A) →
A = cos⁻¹ (a² - b² - c² / -2bc)
b² = a² + c² - 2ac cos(B) →
B = cos⁻¹ (b² - a² - c² / -2ac)
c² = a² + b² - 2ab cos(C) →
C = cos⁻¹ (c² - a² - b² / -2ab)
9514 1404 393
Answer:
-5/2
Step-by-step explanation:
The average rate of change is the slope of the line between the two points. You can see from the graph that the slope is ...
slope = rise/run = -5/2
The average rate of change on the interval is -5/2.
Given:
The length of the candle remaining unburned, in inches, can be modeled by the equation

where, t represents the number of hours since the candle was lit.
To find:
The slope and its interpretation in the context of the problem.
Solution:
Slope intercept form of a linear function is

where, m is slope and b is y-intercept or initial value.
We have,

It can be written as

The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.
Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.
Answer:
Step-by-step explanation:
-4
I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant