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
<span>b-3/15=-1
We simplify the equation to the form, which is simple to understand
<span>b-3/15=-1
Simplifying:
<span>b-0.2=-1
We move all terms containing b to the left and all other terms to the right.
<span>+1b=-1 + 0.2
We simplify left and right side of the equation.
<span>+1b=-0.8
We divide both sides of the equation by 1 to get b.
<span>b=-0.8
</span></span></span></span></span></span>
Compared? By finding the LCM of the consequents of both the ratios, divide the LCM with the consequents, and finally, multiply both the numerator and the denominator of both the ratios with the answer to find out the compared ratio
I would find the area of the shape as if it were a rectangle (5x9) and then subtract the area of two triangles (1/2x2x2.5)
<span>63 * 54 is equal to 3402
If you need any help, write me a message.</span>
