Answer:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x =
, which is about 8.5
Cosine X = 3/9
Cosine X = 1/3
angle x= 70.5
If angle x= 70.5, angle z = 19.5 degrees.
Let me know if this helps!
P = 2d
d = 2n.....n = 1/2d
q = d - 3
since dimes is mentioned in relation to quarters, pennies, and the nickels, u would use d as ur variable
ur expression would be : d + (2d) + (1/2d) + (d - 3) = total amount of coins...then u would solve for d, the number of dimes. And once u know that, u can sub that answer back into ur original equations to find the number of pennies, quarters and nickels
7 divided by 1 is 7 so you would do long division
u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ =
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ =
(
) = 59.04° ( to 2 dec. places )