Answer:
Prime factorization of 1866 = 2, 3, 311
Step-by-step explanation:
1866/2
933/3
311/311
1
Prime factorization of 1866 = 2, 3, 311
Find the corresponding sides of each triangle and divide to find the ratio.
FG = KJ
EF = JL
EG = LK
16.8 / 5.6 = 3
20.1 / 6.7 = 3
The common ratio is 3
Answer:
- B-Neither ordered pair is a solution.
Step-by-step explanation:
<h3>Given</h3>
<u>Equation </u>
<u>Ordered pairs </u>
<h3>Verifying pairs</h3>
(−9,3)
- 6(-9) - 3^2 = 14
- -54 - 9 = 14
- -63 = 14
- Incorrect
(2,−4)
- 6(2) - (-4)^2 = 14
- 12 - 16 = 14
- -4 = 14
- Incorrect
Correct option is B
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
Pat attention to the ending of the numbers. If there are an odd amount of odds, it's going to be odd. If there is an even amount of odds, it's going to be even. If there's only evens, it's only going to stay even.
