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Alisiya [41]
2 years ago
5

Two speakers, in phase with each other, both put out sound of frequency 260 Hz. A receiver is 2.50 m from one speaker and distan

ce x from the other, where x > 2.50 m. What is the smallest value of x such that the receiver detects maximum destructive interference

Mathematics
1 answer:
ivolga24 [154]2 years ago
7 0

Answer: x=3.16m

Step-by-step explanation:

The condition for destructive interference is given by:

∆r = r1 - r2 = (m + 0.5)lamda

Where

Lamda = speed/frequency

= 343/260 = 1.32m

r1. = x

r2 = 2.50m

Then;

X - 2.5 = (m + 0.5)v/f

X - 2.5 = (m + 0.5)1.32

For m = 0 i.e at maximum destructive interference

x = 3.16m

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It's already in simplest form
3 0
2 years ago
Read 2 more answers
Line AB contains points A(4, 5) and B(9,7). What is the slope of AB?
vlabodo [156]

Answer:

2/5

Step-by-step explanation:

We can find the slope of a line given two points by using

m =(y2-y1)/(x2-x1)

     = (7-5)/(9-4)

    = 2/5

7 0
3 years ago
Read 2 more answers
Seven times the difference of x and 4 is -10
4vir4ik [10]

Answer:

In this equation x = 2

Step-by-step explanation:

First, it is easiest to convert these words to numbers. That would make it

4 - <em>x  </em>· 7 = -10

First subtract 4 from both sides.

4 - <em>x</em> · 7 - 4 = - 10 - 4

Then you simplify.

-<em>x ·</em> 7 = -14

Divide both sides by 7.

\frac{-x(7)}{-7} = \frac{-14}{-7}


Then you simplify that fraction to 2 and thats how you get your answer.



7 0
3 years ago
Angle $eab$ is a right angle, and $be = 9$ units. what is the number of square units in the sum of the areas of the two squares
Alla [95]
Let the measure of side AB be x, then, the measue of side AE is given by

AE=\sqrt{9^2-x^2}.

Now, ABCD is a square of size x, thus the area of square ABCD is given by

Area=x^2

Also, AEFG is a square of size \sqrt{9^2-x^2}, thus, the area of square AEFG is given by

Area=\left(\sqrt{9^2-x^2}\right)^2=9^2-x^2=81-x^2

<span>The sum of the areas of the two squares ABCD and AEFG is given by

x^2+81-x^2=81

Therefore, </span>the number of square units in the sum of the areas of the two squares <span>ABCD and AEFG is 81 square units.</span>
8 0
2 years ago
A test has 50 questions. each right answer is worth 2 points; each wrong answer deducts 0.5 points; blank answers are not counte
mestny [16]

ANSWER: There are 2 blank answers

 

EXPLANATION

 

Let

The number of right answers be ‘r’

The number of wrong answers be ‘w’

The number of blank answers be ‘b’

 

r + w + b = 50

This means r + w ≤ 50

 

Then we know,

Right answers = 2 marks

Wrong answers = -0.5 mark

Blank Answers = 0 marks

 

2r – 0.5w = 88.5

2r = 88.5 + 0.5w                               … (Equation I)                   

 

Since the score as .5, we know that there is at least one wrong answer, and the number of wrong answers is an odd number.

 

Since the score is 88.5, and each right answer gives 2 marks

There are at more than 44 (i.e. 88/2) right answers

 

Since r + w ≤ 50, and possible values of w are odd numbers

If r = 45, Possible values of w are 1, 3, and 5

If r = 46, Possible values of w are 1, 3

If r = 47, Possible values of w are 1, 3

If r = 48, The only possible value of w is 1

If r = 49,The only possible value of w is 1

 

 

Since 2r = 88.5 + 0.5w  (Equation I)

We test for possible values:

 

If r = 45

2r = 88.5 + 0.5w  

2(45) = 88.5 + 0.5w  

90 = 88.5 + 0.5w

0.5w = 90 – 88.5

0.5w = 1.5

w = 3

 

So,

If there are 45 right answers

There are 3 wrong answers

r + w + b = 50

45 + 3 + b = 50

48 + b = 50

b = 50 – 48

b = 2

Then, there are 2 blank answers.

 

If r = 46

2r = 88.5 + 0.5w

2(46) = 88.5 + 0.5w

92 = 88.5 + 0.5w

0.5w = 92 – 88.5

0.5w = 3.5

w = 7

 

So,

If there are 46 right answers

There are 7 wrong answers

We know that r + w ≤ 50

46 + 7 = 53

So 46 and higher numbers are not possible solutions.

 

The only possible solution is:

There are 45 right answers

There are 3 wrong answers

<span>There are 2 blank answers</span>

6 0
3 years ago
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