Answer:
Pitcher 1/3 gallon = 4/12 gallon
Jug 3/4 = 9/12 gallon
So, it will take 2 pitchers plus 1/12 of a gallon to fill the jug.
Step-by-step explanation:
Answer:
15.7 cm
Step-by-step explanation:
Angle AD = 180°- 66.4°= 113.6° (considering 2x90°=180° on opposite side)
P= 2*3.14*7.9=49.6 cm
Arc AD= 49.6*113.6°/360°= 15.7 cm
Answer: 336.80 miles,
North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem

Direction is given by using figure i.e.

Direction is
North of east
Answer: 80 miles
Step-by-step explanation:
Let the given complex number
z = x + ix = 
We have to find the standard form of complex number.
Solution:
∴ x + iy = 
Rationalising numerator part of complex number, we get
x + iy = 
⇒ x + iy = 
Using the algebraic identity:
(a + b)(a - b) =
- 
⇒ x + iy = 
⇒ x + iy =
[ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".