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Anna007 [38]
3 years ago
14

Find the ratio of a:b, if 2a-b/6=b/3

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

\frac{a}{b}=\frac{1}{4}

Thus, the ratio is:

a:b = 1:4

Step-by-step explanation:

Given the expression

2a-\frac{b}{6}=\frac{b}{3}

\mathrm{Add\:}\frac{b}{6}\mathrm{\:to\:both\:sides}

2a=\frac{b}{2}

Divide both sides by 2

\frac{2a}{2}=\frac{\frac{b}{2}}{2}

a=\frac{b}{4}

Divide both sides by b

\frac{a}{b}=\frac{1}{4}

Thus, the ratio is:

a:b = 1:4

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Find the product of the given complex number and its conjugate.<br> 1/5+4i
nasty-shy [4]

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

4 0
3 years ago
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Galina-37 [17]

Answer:

  • 1. 110°

Step-by-step explanation:

Given angle - 610°

Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:

  • -610° + 2*360° = -610° + 720° = 110°

Correct option is 1.

7 0
3 years ago
Cameron can rake and fill five. Nine bags of leaves each hour. How many bags of leaves will Cameron rake and fill in 18 hours
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If he fills 5.9 bags for 18 hours, he will have filled a total of 106.2 bags
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B) Express 0.6363......as a rational number in its lowest term. ​
bulgar [2K]

Answer:

\frac{7}{11}

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

Subtract (1) from (2) thus eliminating the repeating digits

99x = 63 ( divide both sides by 99 )

x = \frac{63}{99} = \frac{7}{11} ← in simplest form

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Answer: area 24 perimeter/circumstance 32 meters

Step-by-step explanation:

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