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Vika
19 days ago
12

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation o

f the irrational number to the nearest hundredth
Mathematics
1 answer:
Svet_ta [9.5K]19 days ago
4 0
An irrational number that lies between 9.5 and 9.7 is...

9.678937... (it goes on infinitely)... It is deemed irrational because it cannot be expressed as a fraction due to its infinite nature.

The decimal rounded to the nearest hundredth is: 9.68

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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2780 seats. The students
zzz [9080]

Respuesta:

Un total de 1242 estudiantes de sexto grado participaron en la excursión.

Explicación paso a paso:

A partir de los datos proporcionados, se sabe que el teatro tiene 2760 asientos y que los estudiantes ocuparon el 45% de ellos, por lo que para encontrar cuántos estudiantes de sexto grado asistieron a la excursión, hay que calcular el 45% de 2760:

2760*45%=1242

Así que, de acuerdo a esto, la respuesta es que 1242 estudiantes de sexto grado estuvieron en la excursión.

5 0
11 days ago
Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates
Leona [9271]

Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem \sqrt(a^{2}+b^{2})=KM

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem \sqrt(a^{2}+b^{2})=JL

Thus, we find that \sqrt(a^{2}+b^{2})=KM=LM and option C is the correct choice.

7 0
27 days ago
Read 2 more answers
Sandy takes a day off once every 4 days, and Morgan takes a day off once every 10 days. Today, both of them have taken the day o
Zina [9171]
Assuming that the departure day for both is day 0, Sandy's next day off occurs on day 4, while Morgan's falls on day 10. Sandy's days off will be on days 4, 8, 12, 16, and 20. Meanwhile, Morgan's days off will be on days 10, 20, 30, 40, and 50. Thus, both of them will share a day off on day 20, meaning they will next have a joint day off in 20 days.
4 0
7 days ago
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Question 1(Multiple Choice Worth 2 points)
babunello [8412]
Here are 3 questions with their respective answers.

1) Find


\lim_{x \to \ 2^+} f(x)

Answer: 4.

Explanation:

This expression indicates the limit as the function f(x) approaches 2 from the right side.

You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.

That line has an open circle at y = 4, which is the limit we are looking for.

2) Analyze the graph to see if the limit exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To find each limit, utilize the function approaching from the direction of x.

It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.

3)
Answer: -1


\lim_{x \to \ 3^-} f(x) = -1

To determine the limit as the function approaches 3 from the left, follow the line ending with an open circle at (3, -1).

Hence, the limit is -1.
5 0
20 days ago
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Find three different surfaces that contain the curve r(t) = t^2 i + lnt j + (1/t)k
Svet_ta [9500]
Let’s consider the curve: r(t) = t²i +(int)j + 1/t k X = t², y = int,z = 1/t Utilizing x = t² and z = 1/t X = (1/z)² Xz² = 1 Now using y = int and z= 1/t Y = in│1/z│ By using x = t² and y = int Y = int = in(√x) Thus, the resulting surfaces are, Xz² = 1 Y = in│1/z│ Y= in(√x)
7 0
6 days ago
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