Answer:
= 3√3 + 3i
Step-by-step explanation:
Cos 30° = √3/2
Sin 30° = 1/2
Therefore;
z = 6 (cos 30° + i6 sin 30°)
= 6 (√3/2) + i 6 (1/2)
= 3√3 + 3i
Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
He can fit 4 cubes because you cannot have a half a cube. so it is the whole number 4
Answer:
see below
Step-by-step explanation:
2/3 ÷ 4
We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6
