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:
Step-by-step explanation:
x = cost of drink
y = total cost
First information: "one large pizza and 3 medium drinks cost $21.96":
3a + b = 21.96
Second information: "one large pizza and 6 medium drinks cost $30.93":
6a + b = 30.93
{3a + b = 21.96
{6a + b = 30.93
{- 3a - b = - 21.96
{6a + b = 30.93
3a = 8.97
a = 2.99
3a + b = 21.96
3•2.99 + b = 21.96
8.97 + b = 21.96
b = 21.96 - 8.97
b = 12.99
Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:
y = 2.99x + 12.99
I hope I've helped you.
The number "4" is in the hundreds place. To the right is 7, and since it's greater than five it rounds up. So 16,473 to the nearest hundred is 16,500. Hope this helped!
We find out the ratio 100: 12= 25/3
We need the number of <span>sticks of butter: 25/3 x 3/2= 25/2=12.5
That means you must buy 13 </span><span>sticks of butter
Have fun</span>
Answer:
None of these.
Step-by-step explanation:
Let's assume we are trying to figure out if (x-6) is a factor. We got the quotient (x^2+6) and the remainder 13 according to the problem. So we know (x-6) is not a factor because the remainder wasn't zero.
Let's assume we are trying to figure out if (x^2+6) is a factor. The quotient is (x-6) and the remainder is 13 according to the problem. So we know (x^2+6) is not a factor because the remainder wasn't zero.
In order for 13 to be a factor of P, all the terms of P must be divisible by 13. That just means you can reduce it to a form that is not a fraction.
If we look at the first term x^3 and we divide it by 13 we get 
we cannot reduce it so it is not a fraction so 13 is not a factor of P
None of these is the right option.
