Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
The function is polynomial with the following characteristics
Degree: 5 and leading coefficient: -13.
Step-by-step explanation:
You can see the explanation in the image.
I will like to mention that the question is a little obscure, and the explanation applies for the following function:

You always have to choose the highest power of x, in order to find the leading term.
Answer:
35/4
Step-by-step explanation:
Change -1 2/3 into -5/3. Change -5 1/4 into -21/4.
Multiply -5/3 by -21/4= 105/12
Reduces down to 35/4
The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation
.



Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is
.