All categories

2 years ago

HELP PLEASE

Mathematics

1 answer:

ale4655 [162]2 years ago

5 0

Answer:

The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz

Step-by-step explanation:

The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s

The number of beats in 6.0 s = 24 beats

Therefore, the beat frequency, $f_{beat}$ = 4 beats per second = 4 Hz

Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;

f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz

We have;

$f_{beat} = \left | f_2 - f_1 \right |$

$\pm f_{beat} = f_2 - f_1$

Therefore, we get;

$4 \, Hz= \left | f_2 - 512.82 \, Hz \right |$

f₂ - 512.82 = ± 4

∴ f₂ = 512.82 ± 4

The possible frequencies of the guitar string, f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz

You might be interested in

Rewrite the expression using distributive property : 30x + 6

Anit [1.1K]

Answer:

This cannot be done, but it can be factored as: 6(5x + 1)

Step-by-step explanation:

This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

5(x + 2) = 5x + 10

We can factor this expression however to go the opposite direction:

30x + 6

Since 30 and 6 are both divisible by 6, we can factor it out of each term.

Divide 30x by 6 and divide 6 by 6.

6(5x + 1)

6 0

3 years ago

Convert <br>431 base 10 divided by 112base 10 Then u should convert the final answer to base 5

Rainbow [258]

Answer:

32115

Step-by-step explanation:

Step1

Converting 431 to base 10.

4*102=400

3*101=30

1*100=1

Adding all to get Ans=43110

Step2 converting 43110 to 5

The equation calculation formula for 43110 number to 5 is like this below.

5|431

5|86|1

5|17|1

5|3|2

5|3|3

Ans:32115

5 0

3 years ago

Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

3 years ago

Make a factor tree for 16

jonny [76]

16
∧
4 X 4
∧ ∧
2 X 2 2 X 2

The answer is 2 x 2 x 2 x 2 or 2⁴ This would have worked as well had you broken

down 16 into 8 x 2. You would get the same answer as the 8 would break down into 4 x 2 and the 4 would break down into 2 x 2.

6 0

3 years ago

Ken's prediction for december was -5°c The actual low temperature was 3 degrees higher than his prediction what was the actual l

SashulF [63]

Answer:

-2 °C

Step-by-step explanation:

Add 3 °C to get a temperature 3 °C higher.

-5 °C + 3 °C = -2 °C

8 0

3 years ago

Read 2 more answers