Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
The height of the rectangular cereal box is 40 cm.
<h3>How to find height of a rectangular prism?</h3>
Volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
10000 = 25 × 10 × h
10000 = 250h
h = 10000 / 250
h = 40 cm
learn more on rectangular prism here: brainly.com/question/16600853
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Answer:
Step-by-step explanation:
A. 9p⁴q⁶
Because 3²=9, (p²)²=p⁴, and (q³)²=q⁶
Answer:
Two right angles = 180 degrees
Step-by-step explanation:
A right angle = 90 degrees
The sum of the interior angles of a triangle = 180 degrees
Two right angles (2 * 90) = 180
180 = 180
Therefore, the sum of the interior angles of any triangle is equal to two right angles.
