Answer:
A. The magnitudes are 10, and the direction angles are about 18 degrees.
Step-by-step explanation:
Edge 2020
Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3
Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10
what are their present ages
find M and N
substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:
4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14
M = 2(14) - 3 = 28 - 3 = 25
Mike is 25 and Nuke is 14.
check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10
Answer:
- 508
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 28 and d = - 34 - (- 28) = - 34 + 28 = - 6, thus
= - 28 + (- 6 × 80) = - 28 - 480 = - 508
Answer:
4,992 meters of fence
Step-by-step explanation:
The figure is not attached. So we will assume a rectangle that has sides of lengths 2 cm and width 3 cm and It is enlarged<span> with scale factor 3.
</span><span>The width of the original rectangle must be one-third of the enlarged rectangle.
</span>The lengths of the sides of the enlarged rectangle will be:
<span>3 × 2 cm = 6 cm (Length)
<span>3 × 3 cm = 9 cm (Width)</span></span>