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tensa zangetsu [6.8K]
3 years ago
11

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 64 M. the length of the alley

is 2 times the width. find the length and the width of the playing alley​
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

<h2>The length is 21.3 meters</h2><h2>The width is 10.6 meters</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a rectangular shape

we are required to solve for the length and width of the rectangular ball court

we know that the perimeter is expressed as

P= 2(L)+2(W)

let the width be x

hence the length is 2x

Given data

perimeter = 64 meters

length l= 2x

width w= x

Substituting our data  and solving for x we have

64= 2(2x)+2(x)\\\\64= 4x+2x\\\\64= 6x

Dividing both sides by 6 we have

x=\frac{64}{6}\\\\ x= 10.66

Hence the width is 10.66 meters

The length is 2x= 2(10.66)= 21.33 meters

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irina1246 [14]

Answer:

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Step-by-step explanation:

59

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3 years ago
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Two fair dice are rolled at the same time.<br> What is the probability that the total score is 6.
Marat540 [252]
I think the probability is 13.89%
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2 years ago
What is the solution to the equation? 7x + 6 = -22
trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

In order to solve the equation we have to isolate x on one side of equation

Given

7x + 6 = -22

Subtracting 6 from both sides

7x+6-6=-22-6\\7x=-28

Dividing both sides by 7

\frac{7x}{7}=\frac{-28}{7}\\x=-4

Hence,

C.) x = -4 is the correct answer

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/5527192
  • brainly.com/question/5528742

#LearnwithBrainly

7 0
3 years ago
which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

6 0
3 years ago
Can someone explain to me why are we adding 2kpi when we are doing zeros for sin and cos, but adding kpi when doing zeros for tg
makvit [3.9K]

on the first exercise, you got a solution angle of π/18, that's a good solution for the I Quadrant only, however, on a circle, we have angles that go from 0 to 2π, however we can always keep on going around and continute to 2π + π/2 or 3π or 4π, or 115π/3 or 1,000,000π/18 and so on, and we're really just going around the circle many times over, getting a larger and larger angle, same circular motion.

π/18 on that exercise works for the I Quadrant, however if we continue and go around say 2π, we'll find that 2π/3 + π/18 is a coterminal angle with π/18, and thus that angle has also the same sine value.

π/18 + 2kπ/3 , where k = integer, is a way to say, all angles around the circle that look like this have the same sine, namely

π/18 + 2(1)π/3

π/18 + 2(2)π/3

π/18 + 2(3)π/3

π/18 + 2(5)π/3

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so using the "k" as some sequence multiplier, is a generic notational way to say, "all these angles".

you'll also find that "n" is used as well for the same notation, say for example

2π/3  + 2πn.

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