Answer:
122 degrees-
Step-by-step explanation:
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
Take the cross product, then normalize the result.
This has norm
and so a unit vector orthogonal to both given vectors is
An equally correct answer would be the negative of this vector, since
.
Answer:
Step-by-step explanation:
3 pieces such that each piece is 2 cm longer then the next...
x , x + 2, x + 4
x + x + 2 + x + 4 = 30
3x + 6 = 30
3x = 30 - 6
3x = 24
x = 24/3
x = 8
x + 2 = 8 + 2 = 10
x + 4 = 8 + 4 = 12
check...
8 + 10 + 12 = 30
18 + 12 = 30
30 = 30 (correct)...it checks out
the ribbon lengths are : 8 cm, 10 cm, and 12 cm
Given,
A sign company charges $28 per yard for each custom-made banner.
Ms.Gill orders two banners that are each 178 yards long, and one banner that is 258 yards long.
To find,
Total money paid by Ms. Gill.
Solution,
Total length of 2 banners of 178 yards = 356 yards
Third banner is 258 yards long.
Total length of the banners = 356 + 258
= 614 yards
The cost of each banner = $28 per yards.
Total amount paid by Ms. Gill is :
= $28 × 614
= $17,192
Hence, she will pay $17,192 for all the three banners.
Answer:
Western Kentucky University
Step-by-step explanation:
Western Kentucky University is a public university in Bowling Green, Kentucky. It was founded by the Commonwealth of Kentucky in 1906, though its roots reach back a quarter-century earlier. It operates regional campuses in Glasgow, Elizabethtown-Fort Knox, and Owensboro.
