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3 years ago

Find the missing length indicated.

Mathematics

1 answer:

kogti [31]3 years ago

3 0

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

$\frac{81}{x}=\frac{x}{225}$ and cross multiply to get

$x^2 =18225$ so

x = $\sqrt{18225}$ and

x = 135

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Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?

Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

$t^2y''-ty'+y=0$ where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find the solutions are independent or dependent.

To find the solutions are independent or dependent we use wronskain

$w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}$

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let $y_1=t,y_2=t ln t$

$y'_1=1,y'_2=lnt+1$

$w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}$

$w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t$ where t is not equal to zero.

Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.

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6 0

3 years ago

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

Alona [7]

Answer:

Option C is correct.

Step-by-step explanation:

We have been given total 8 data

Data is : 12,15,18,20,23,23,28

Here, n=7

Median is $\frac{n+1}{2}=\frac{7+1}{2}=4th term$

Median is 20.

When one data is added n=8

The median of even number of data is

$median=\frac{\frac{n}{2}\text{th and}\frac{n}{2}+1\text{th}}{2}$

Median is $\frac{8}{2}\text{th and}\frac{8}{2}+1th$

Median is $4\text{th and}5th$

4th terms is 20

5th terms is 23

Since, median should not be change hence,

Median will be 20.

Therefore, option C is correct.

6 0

2 years ago

Read 2 more answers

In psychology lab, Tetiana is conducting an experiment on depth perception using the Howard-Dolman box. Inside the box are two v

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Answer:

within-groups

Step-by-step explanation:

According to my research on the scientific method, I can say that based on the information provided within the question the independent variable is being manipulated within groups, because she is not using a pretest and her design is within-groups. This is because she is using the posttest-only control group design which is a research design where at least two groups, one of which does not receive a treatment or intervention, and data is collected on the outcome measure after the treatment or intervention.

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3 years ago

A line that crosses segment at right angles while dividing the segment in half is called

iren [92.7K]

The correct answer is:

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Step-by-step explanation:

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The correct answer is:

A line that crosses segment at right angles while dividing the segment in half is called <u>a perpendicular bisector</u>

Keywords: Perpendicular, bisector

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2 years ago

On the way home from school, Ross wears his 20-pound backpack and carries his 7-ounce lunchbox. How many ounces does he carry in

Angelina_Jolie [31]

Answer:327

Step-by-step explanation:

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3 years ago

Find the missing length indicated.​

Find the missing length indicated.