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3 years ago

Question: If 2m−6=8m then 3m=

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

-6= 8m-2m= 6m
m=-1
3(-1)= -3

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3 years ago

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15 is 6 because 12 divided by 2 is 6

19 is 12 because 12-3 is 9

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4 years ago

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A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. What is the le

Tems11 [23]

Answer:

51.72 cm.

Step-by-step explanation:

We have been given that a pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. We are asked to find the length of the pipe.

First of all, we will find the wavelength using following formula.

$\text{Wave speed}=\text{Frequency}\times \text{Wave length}$

$331\frac{\text{m}}{\text{s}}=320\text{ Hz}\times \text{Wave length}$

We know that Hz is equal to $\frac{1}{s}$ .

$331\frac{\text{m}}{\text{s}}=320\frac{1}{\text{s}}\times \text{Wave length}$

$331\text{ m}=320\times \text{Wave length}$

$\text{Wave length}=\frac{331}{320}\text{ m}$

$\text{Wave length}=1.034375\text{ m}$

Length of the pipe would be half of the wave-length.

$\text{Length of pipe}=\frac{1.034375}{2}\text{ m}=0.5171875\text{ m}$

Since the length of pipe is in meters, so we will convert it into cm.

1 m = 100 cm

$\text{0.5171875 m}=0.5171875\times 100\text{ cm}=51.71875\text{ cm}\approx 51.72\text{ cm}$

Therefore, the length of the pipe would be 51.72 cm.

6 0

3 years ago

Rearrange the equation e-5=2f to e=

irga5000 [103]

-2f-5=-e

then you divide by the -1 to get the positive e

e=2f+5

3 0

4 years ago

Line segment ON is perpendicular to line segment ML, and PN = 10.

Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

$MO=OL=radius\ of\ circle=25\ units$

$ON=25\ units$

$ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units$

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

$MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units$

$ML=2*MP\\ ML=2*20\\ ML=40\ units$

Find the area of triangle MOL

$A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}$

therefore

the answer is

the area of triangle MOL is

$300$ square units

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3 years ago

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