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2 years ago

Find three rational numbers between 1/3 and 5/6

1 answer:

6 0

First we need to know the meaning of a rational number. A rational number is any number that terminates and doesn't repeat as a decimal, and can be represented as a fraction.

I would say it's 3/6, 4/6, and 5/6, you can also have 2/6 since they can be expressed as a ratio and are between 1/3 and 5/6. (1/3 is equal to 2/6)

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Here's the question: You have an electrical circuit with various components, all of which are in series. The current (I) through

vredina [299]

Answer:Magnitude of voltage is 41.9963 volts

Step-by-step explanation:

Given that current I =5.772-5.323i mA

and impedance, Z=3.342+4.176i kilo ohms

Then voltage in the circuit = IZ

$=(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}$

$V=(5.772-5.323i)X(3.342+4.176i)$

$V=19.290024+24.103872i-17.789466i-23..5148848i^{2}$

$V=41.518892+6.314406i$

Magnitude of V = $\sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts$

7 0

3 years ago

Please help! Thank you! Also, please explain thank you!

viva [34]

Answer:

2x=10*11

2x=110

x=55

5 0

3 years ago

Which proportion can you use to find the value of a?

Ugo [173]

<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

$\frac{18}{a}=\frac{a}{16}$

Thus, the proportion used to find the value of a is $\frac{18}{a}=\frac{a}{16}$

Hence, Option D is the correct answer.

6 0

3 years ago

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

Llana [10]

X and y are books
x is fiction
y=nonifiction

x+y=36

x=12+y

12+y+y=26
2y+12=26
minus 12
2y=14
divide 2
y=7

sub
x=12+y
x=12+7
x=19

nonfiction=7

5 0

3 years ago

Mr. Design is covering rectangular pieces of plywood with fabric to create a wall hanging. Each piece has an area of 12 3/4 squa

ExtremeBDS [4]

6 inches
6 1/14 inches
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So
51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6
51/4 / 21/10 = 51/4 * 10/21 = 510/84 = 85/14 = 6 1/14

3 0

3 years ago