Answer:
Correct answer: ∝ = 18.43°
Step-by-step explanation:
Given coordinates represent one vector in x-y plane, let be v.
v = 3i +1j = xi + yj => x = 3 and y = 1
The angle that this vector builds with the positive direction to the x axis will be found using the tangent.
∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°
∝ = 18.43°
God is with you!!!
Answer:
does it have answer choise
Step-by-step explanation:
Answer:
<u>Square</u>
Step-by-step explanation:
Requirements that make a square, a square;
- Four sides
- Congruent angles (all 90°)
- Opposite sides are congruent/the same.
- Opposite sides are also parallel because the lines of a square do not intersect.
The volume of a sphere is (4πr^3)/3 and since r=d/2, volume of a given sphere with respect to its diameter is:
V=(4πd^3)/24
V=(πd^3)/6 in this case d=8.65 so
V≈338.88 in^3 (to the nearest hundredth)
Let L be the low copper alloy and H be the high copper alloy.
We need 0.15L + 0.60H = 0.42 and L + H = 100
L=100 - H
Substituting this into the second equation for L, we get:
0.15(100-H) + 0.60H = 0.42(H+L)
15 - 0.15H + 0.60H = 0.42(H+100-H)
15 + 0.45H = 0.42(100)
0.45H = 42 - 15 = 27
H = 27/.45 = 60 lbs
Back substitution, L = 40 lbs.
