The angle you want - call it <em>θ</em> - is such that
tan(<em>θ</em>) = FC / AC
Find the length of the diagonal AC, i.e. a diagonal of the rectangle ABCD. ABC forms a right triangle with legs AB = 70 and BC = 50, so
AC² = AB² + BC²
→ AC = √(70² + 50²) = 10 √74
Find FC using the given angle of the sloping face:
tan(30º) = FC / BC
→ 1/√3 = FC / 50
→ FC = 50/√3
Now solve for <em>θ</em> :
tan(<em>θ</em>) = (50/√3) / (10 √74)
→ tan(<em>θ</em>) = 5/√222
→ <em>θ</em> ≈ 18.6º
Answer:
solution is
Step-by-step explanation:
we are given inequality as
Firstly, we will simplify it
now, we can subtract both sides by 6
now, we can divide both sides by 16
and we get
so, solution is
Answer:
y , add 7, multiply by 3, then subtract 6.or Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2
Step-by-step explanation:
In the given point 4-3i, 4 is a real number and is positive and 3i is an imaginary number and is negative, so point T is on real number positive 4 and imaginary number -3i.
The answer would be D. T
