Saving money is essential to living life. Everything costs money. Even this wifi? Not free. The device you asked this on? Not free. Saving money is important but why won't people do it? They think its hard, but it's actually easy. Step one, save one cent today, two cents tomorrow, three cents the next day...etc. That leaves you with 365 in the bank if I did the calculations right. Another way you can save is by setting a budget. Pretty easy, but you have to control what you buy and understand that buying this or that could prevent you from buying something else. The last one? Get a job. Preferably a one that gets you a higher pay without actually needing a degree, like a warehouse worker or a waiter.
These methods help you in the best way possible to save money. Good luck!
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
For number 3.
You add 8 to both sides as you need to separate the variable
4x-8=32
+8 +8
4x=32
now divide 32 by 4
x=8
for number 4
you use pemdas to multiply the parenthisis
2(x-5)=-20
(2•x)-(2•5)
2x-10=-20
then add 10 to both sides
2x-10=-20
+10 +10
2x=10
divide 10 by two
x=5
One cookie because 4 - 3 = 1