Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
Answer:
1 inch : 4 feet
Step-by-step explanation:
Size of the Mural is 42 feet long and 16 feet.
The original painting is 10½ inches long and 4 inches wide.
On the length
Length of Painting: Length of Mural
10½ inches: 42 feet
1 inch : 42/10½ feet
1 inch : 4 feet
On the Width
Width of Painting: Width of Mural
4 inch: 16 feet
1 inch : 16/4 feet
1 inch : 4 feet
The Scale of the Original Painting to the Mural is therefore:
1 inch : 4 feet
Slope y-intercept form is: y=mx+b
All you have to do is rearrange the equation:
2x-3y=6
2x=6+3y
2x-6=3y
now divide both sides by 3
(2x/3)-(6/3)=(3y/3)
and it becomes
x
Bonus: you can plug in any two values for x and y and you can see both equation gives the same answer!
They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.
Answer:
$1,280 every year and $106.66 every month.
Step-by-step explanation:
You would do 4,000 by 4. Which would be 1,000. Then you would divide 560 by 4. After, you add both of your products together and you get 1,280. Obviously there are 12 months in a year, so you would divide your sum by 12. Then you would get 106.66. Basically, that is how you would get the answer.
I hope this helps!
(If you have the kindness in your heart to give me brainliest, I would appreciate it.)
