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3 years ago

2 yards to 45 feet as a fraction in simplest form

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

2yd(3ft/yd)/45ft

6ft/45ft

2/15

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the elephants water tank holds 2,560 gallons of water. After two weeks, the zookeeper measures and finds that the tank has 1,944

nadezda [96]

The answer is 58 whole days

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4 years ago

Solve log x = 4. Ox=4 O x = 40 Ox= 1,000 Ox= 10,000

Viefleur [7K]

Hi there! :)

Answer:

$\huge\boxed{x = 10,000}$

Given:

$logx = 4$

The given expression is a logarithm with a base of 10, therefore we can rewrite this as:

$10^{4} = x$

Evaluate:

$x = 10,000$

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3 years ago

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Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10

JulijaS [17]

Answer:

7, 10 and 15

Step-by-step explanation:

Given

$S_1= 3$ --- Students already enrolled

$Total = 10\ (less)$

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

$S_1 + x < Total$

Make x the subject

$x < Total - S_1$

Substitute values for Total and S1

$x < 10 - 3$

$x < 7$

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

7 0

3 years ago

Convert the following decimal to vulgar fraction 0.dot285 HELP

Alex

Answer:

$\displaystyle 0.285=\frac{57}{200}$

Step-by-step explanation:

Decimal to Fraction Conversion

We have the decimal number 0.285

It can be expressed as:

$\displaystyle 0.285=\frac{285}{1000}$

The fraction can be simplified by dividing by 5:

$\displaystyle 0.285=\frac{57}{200}$

Since 57 and 200 have no more common factors, this is the simplified equivalent fraction.

$\mathbf{\displaystyle 0.285=\frac{57}{200}}$

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3 years ago

Verify sin(360º - θ)= -sin θ Show your work

Mekhanik [1.2K]

Answer:

A nice way to show it is through the unit circle.

In the unit circle, the point at angle theta from the origin has a y value of sin theta.

If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).

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3 years ago

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