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
There are different formulas for calculating the two types of compound events: Say A and B are two events, then for mutually exclusive events: P(A or B) = P (A) + P(B). For mutually inclusive events, P (A or B) = P(A) + P(B) - P(A and B).
Answer:
The frequency is 3 more than expected.
Since 800 is greater than 0.8 your statement would be 800>0.8
Answer:
X = -1/2 or 1/2
Step-by-step explanation:
When the square root of a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.
As such,
X^2=1 to find x find the root of both sides
X = √1
X = -1 or 1
Going by this
4x^2=1
Divide both sides by 4
X^2=1 /4
taking the square root of both sides
X = √1/4
The root of 1 is -1 or 1 while that of 4 is -2 or 2 hence,
X = -1/2 or 1/2
