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:
No solution
Step-by-step explanation:
Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.
Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:
2x = y + 7.
Next, we substitute y + 7 for 2x in the second equation:
y = (y + 7) + 3.
Simplifying this produces:
0 = 10
This is not true and can never be true. Thus, this system has no solution.
The height has to be 4, 5, or 6, so the width would be 15, 12, and 10 respectively.
4*15=60
5*12=60
6*10=60
These are the only whole numbers between 4 and 6, as whole numbers are non-decimal numbers greater than or equal to 0
Each one would be 5 minutes because 2 1/2 Times 4 = 10 minutes. You would have 20 minutes remaining so divide 20 by how many segments there are, which is 4 to get 5
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial 
being divided by a factor in the form of 
, then the remainder of the polynomial is given by 
.
We have the polynomial:
And it is being divided by:
We can rewrite our factor as:
Therefore:
Then our remainder will be:
Evaluate:
So, our remainder will be 8.
