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4 years ago

What is the wavelength of a 320 Hz sound traveling 330 m/s?

Mathematics

1 answer:

maw [93]4 years ago

8 0

Answer:1.03125 meter

Step-by-step explanation:

Velocity =330 meter per second

Frequency =320 Hertz

wavelength=velocity ➗ frequency

Wavelength=330 ➗ 320

Wavelength=1.03125 meter

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13 POINTS- please help me

allsm [11]

Answer:

See explanation

Step-by-step explanation:

16. Two parallel lines are cut by transversal. Angles with measures $(6x+20)^{\circ}$ and $(x+100)^{\circ}$ are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

$6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16$

Then

$(6x+20)^{\circ}=(6\cdot 16+20)^{\circ}=116^{\circ}\\ \\(x+100)^{\circ}=(16+100)^{\circ}=116^{\circ}$

17. Two parallel lines are cut by transversal. Angles with measures $(2x+12)^{\circ}$ and $(3x-22)^{\circ}$ are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

$2x+12=3x-22\\ \\2x-3x=-22-12\\ \\-x=-34\\ \\x=34$

Then

$(2x+12)^{\circ}=(2\cdot 34+12)^{\circ}=80^{\circ}\\ \\(3x-22)^{\circ}=(3\cdot 34-22)^{\circ}=80^{\circ}$

18. Two parallel lines are cut by transversal. Angles with measures $(6x-7)^{\circ}$ and $(5x+10)^{\circ}$ are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

$6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17$

Then

$(6x-7)^{\circ}=(6\cdot 17-7)^{\circ}=95^{\circ}\\ \\(5x+10)^{\circ}=(5\cdot 17+10)^{\circ}=95^{\circ}$

19. The diagram shows two complementary angles with measures $2x^{\circ}$ and $56^{\circ}$ . The measures of complementary angles add up to $90^{\circ},$ then

$2x+56=90\\ \\2x=90-56\\ \\2x=34\\ \\x=17$

Hence,

$2x^{\circ}=2\cdot 17^{\circ}=34^{\circ}$

Check:

$34^{\circ}+56^{\circ}=90^{\circ}$

20. Angles $\angle 1$ and $\angle 2$ are vertical angles. By vertical angles theorem, vertical angles are congruent, so

$m\angle 1=m\angle 2\\ \\5x+7=3x+15\\ \\5x-3x=15-7\\ \\2x=8\\ \\x=4$

Hence,

$m\angle 1=(5x+7)^{\circ}=(5\cdot 4+7)^{\circ}=27^{\circ}\\ \\m\angle 2=(3x+15)^{\circ}=(3\cdot 4+15)^{\circ}=27^{\circ}$

21. $\angle 5$ and $\angle 8$ are supplementary. The measures of supplementary angles add up to $180^{\circ},$ so

$m\angle 5+m\angle 8=180^{\circ}\\ \\3x-40+7x-120=180\\ \\10x-160=180\\ \\10x=180+160\\ \\10x=340\\ \\x=34$

Therefore,

$m\angle 5=(3x-40)^{\circ}=(3\cdot 34-40)^{\circ}=62^{\circ}\\ \\m\angle 8=(7x-120)^{\circ}=(7\cdot 34-120)^{\circ}=118^{\circ}\\ \\62^{\circ}+118^{\circ}=180^{\circ}$

7 0

3 years ago

Question is attached.<br>Step by step explanation needed!!

sweet-ann [11.9K]

Answer:

Option B

Step-by-step explanation:

Refer to the Attachment for steps.

8 0

3 years ago

On the Sat the lowest value anyone can score on the math section is 200 and the highest is 800. Jason is a senior retaking the S

schepotkina [342]

Answer:

10 people

Step-by-step explanation:

Parking needs to be paid for but if all friends are going together, they need to only pay once for parking.

The amount spent on just tickets is therefore:

= 243.25 - 15.75

= $227.50.

If $227.50 was for tickets alone, the number of tickets they could buy is:

= Total amount left/ Price of tickets

= 227.50 / 22.75

= 10 people

Step-by-step explanation:

6 0

3 years ago

A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a l

gregori [183]

Answer:

Dependent sample: The same textbook are being compared.

Step-by-step explanation:

We are given the following in the question:

A student wants to compare textbook prices for two online bookstores.

Sample 1 from bookstore A:

$115, $43, $99, $80, $119

Sample 2 from bookstore B:

$110, $40, $99, $69, $109

Dependent and independent sample:

Dependent samples are paired observations for same set of items.
Independent samples are observations made on two different sets of items.
If the values in one sample affect the observations in the other sample, then the samples are dependent.
If the values in one sample have no effect about those of the other sample, then the samples are independent.

Thus, the given sample is dependent sample as the same textbook is being compared from two different bookstore.

5 0

3 years ago

-3y+5x=26,-2y-5x=-16

Nataliya [291]

Answer:

x = 4 , y = − 2

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

3 0

3 years ago

Read 2 more answers