Given:
Triangle LJK.
LJ = 89 in, LK = 28 in and m∠L = 42°
To find:
The length of missing side JK.
Solution:
LJ = k = 89
LK = j = 28
JK = l = ?
Using law of cosine:

Substitute the given values.





Taking square root on both sides.

The length of the missing side is 70.7 in.
Answer:
$17.28
Step-by-step explanation:
20% of $86.40
=
× $86.40
= 0.2 × $86.40
= $17.28 ← commission
Let 2x – y = 3 ——— equation 1
Let x + 5y = 14 ——— equation 2
Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3
• Put eqn 3 in eqn 2
(y + 3 / 2) + 5y = 14
6y = 14 – 3/2
6y = 25/2
y = 25/12
• put y = 25/12 in eqn 3
x = (25/12 + 3/2)
x = 43/12
Answer:
A total of 360 residents left Planet X in the past 3 years.
Step-by-step explanation:
120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.
Answer:
36
Step-by-step explanation:
The number of two of the nine members of ski patrol unit can be chosen is equal to the combinations of 9 taken 2. This can be calculated using the formula:
=
, where
9! =9×8×7×6×5×4×3×2×1 and
7!=7×6×5×4×3×2×1
2!=2×1 then the equation becomes:
=
=36