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3 years ago

19 dozen cookies to individual cookies

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

$dozen=12$

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

$19*12=$

$228$

Therefore, there are 228 individual cookies.

We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

$228$ ÷ $19=12$

$228$ ÷ $12=19$

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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liq [111]

Answer:

yes

Step-by-step explanation:

the answer its 5

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Will mark as brainliest plz helpp

almond37 [142]

x - √3y - 4 = 0 → Choice A

Step-by-step explanation:

x - 4 = √3y

x - 4 - √3y = √3y - √3y

x - 4 - √3y = 0

x - √3y - 4 = 0

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3 years ago

A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of

umka2103 [35]

Answer:

Option b) Sample

Step-by-step explanation:

We are given the following in the question:

Survey:

356 surveys on television-viewing habits of American adolescents.

Result:

Average of 3.1 hours per day.

Population and sample:

Population is a collection of all the possible observation of individuals or variable of interest.
A sample is always a part of the population.
It is a subset of population.

For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.

The correct answer is

Option b) Sample

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3 years ago

A square is divided into three congruent rectangles as shown at the right. Each of the three rectangles has a perimeter of 16 me

nadezda [96]

Answer:

Perimeter of square = 24 meter

Step-by-step explanation:

Given:

Square divided into three equal rectangle

Perimeter of rectangle = 16 meter

Find:

Perimeter of square

Computation:

We know that rectangle are equal

So,

3b = l

Perimeter of rectangle = 2 (l + b)

16 = 2 (l + b)

16 = 2 (3b + b)

b = 2 meter

l = 3 (2) = 6 meter

Side of square = 6 meter

Perimeter of square = 4(side)

Perimeter of square = 4(6)

Perimeter of square = 24 meter

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3 years ago