Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4

7C = 4A
--- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41

25(C + 68) = 41A
C + 68 = 
--- (2)
Equating (1) and (2) together;




- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From;

C = 36.57
C ≅ 37 beads
Answer:
0 +256i
Step-by-step explanation:
According to Euler's formula, ...
(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i
_____
"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
Answer:
−
1
2
+
Step-by-step explanation:
There's 6.Because there's 2 per mile. So 3x2 =6