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liubo4ka [24]
1 year ago
12

Please answer the question below

Mathematics
1 answer:
alexandr402 [8]1 year ago
4 0

The value of x in the given sector is determined as 7.1.

<h3>Area of the sector</h3>

Total area of the sector = area of the shaded + area of the unshaded

Since shaded and unshaded areas are equal, the value of x is calculated as follows;

πr²θ/360 = πx²60/360 +  πx²60/360

πr²θ/360 = 2(πx²θ/360)

πr² = 2(πx²)

r² = 2x²

x² = r²/2

x² = (10²)/2

x² = 50

x = √50

x = 7.1

Thus, the value of x in the given sector is determined as 7.1.

Learn more about area of sector here: brainly.com/question/22972014

#SPJ1

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is a_5=\frac{1}{4}

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let a_1=64, a_2=-16 ,a_3=4  and a_4=-1

To find the next number that is a_5

common ratio r=\frac{a_2}{a_1}

=\frac{-16}{64}

r=-\frac{1}{4}

r=\frac{a_3}{a_2}

=\frac{4}{-16}

r=-\frac{1}{4}

Therefore the common ration is r=-\frac{1}{4}

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is a_n=a_1r^{n-1}

Now find the 5th term so put n=5 , a_1=64andr=\frac{-1}{4} we have

a_5=64(\frac{-1}{4})^{5-1}

=64(\frac{-1}{4})^{4}

=64(\frac{1}{4})^{4}

=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})

=\frac{1}{4}

Therefore a_5=\frac{1}{4}

8 0
3 years ago
A(n) ______ specifies the phenomena of interest; indicates which variables are independent, alternative, antecedent, intervening
Nana76 [90]

Answer:

An arrow diagram

Step-by-step explanation:

Helps keep track of intricate relationships between variables. Specifies the phenomena of interest: independent, alternative, antecedent and intervening.

-Time on the bottom with an arrow

-Antecedent -> Independent -> intervening-> dependent

An arrow diagram is defined as a process diagramming tool used to determine optimal sequence of events, and their inter-connectivity. It  is a network diagramming technique in which activities are represented by arrow, used for scheduling and to determine the critical path through nodes. The arrow diagramming method shows the required order of tasks in a project or process, the best schedule for the entire project, and potential scheduling and resource problems and their solutions. The arrow diagram lets you calculate the "critical path" of the project the flow of critical steps where delays can affect the timing of the entire project and where addition of resources can speed up the project.

One headed arrow connecting two variables= "X directly causes Y"

5 0
3 years ago
Read 2 more answers
Solve the question below, please
zhuklara [117]

Answer:

Step-by-step explanation:

(x-3)/(x+4) = x/(x+10)

(x-3)(x+10) = x(x+4)

x²+7x-30 = x²+4x

3x = 30

x = 10

3 0
3 years ago
How many tickets were sold after June 15th?
AysviL [449]

Answer: About 45.

Step-by-step explanation: There's always a pattern in these kinds of questions, you can see for 9th to 13th August, the number has always been  between 20 to 40. And since on 13th August the graph is on a rise again, it would be around 45. 90 is just not realistic considering there's only an increase of around 5-10 tickets every day.  

8 0
3 years ago
Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vac
Harman [31]

Answer:

140

Step-by-step explanation:

ap3x

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