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3 years ago

Solve a=b+3/c-2 for c

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

c = 3 / a − b + 2

Explanation:

[ Step 1: Multiply both sides by c ]

ac = bc − 2c + 3

[ Step 2: Add -bc to both sides ]

ac + −bc = bc − 2c + 3 + −bc

ac − bc = −2c + 3

[ Step 3: Add 2c to both sides ]

ac − bc + 2c = −2c + 3 + 2c

ac − bc + 2c = 3

[ Step 4: Factor out variable c ]

c(a − b + 2) = 3

[ Step 5: Divide both sides by a - b + 2 ]

c(a − b + 2) / a − b + 2 = 3 / a − b + 2

c = 3 / a − b + 2

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a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.

Inessa05 [86]

Answer:

Step-by-step explanation:

I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):

** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.

** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.

** Due east has an angle measure of 0 degrees

Now let's begin.

We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:

$A_x=50cos(89.75)$ so

$A_x=.22$

$B_x=200cos(0)$ so

$B_x=200$ and we need to add those results together. Due to the rules for adding significant digits properly, the answer is

$C_x=200$ (and remember I am counting that as 3 sig fig's even though it's only 1).

Now for the y components:

$A_y=50sin(89.75)$ so

$A_y=50$ (which I'm counting as 2 sig fig's)

$B_y=200sin(0)$ so

$B_y=0$ and we need to add those results together.

$C_y=50$

Now for the resultant magnitude:

$C_{mag}=\sqrt{(200)^2+(50)^2}$ and that gives us a final magnitude of

$C_{mag}=206$ m

Now for the angle:

Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so

$tan^{-1}(\frac{50}{200})=14$

The girl is 206 meters from her starting point at an angle of 14 degrees

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3 years ago

Which is more, 6 ounces or<br> 1 / 2<br> of a pound?

Llana [10]

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Answer: 1/2 a pound is more, because 1/2 a pound is 8 ounces

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

5 0

3 years ago

Read 2 more answers

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

Answer:

$p(x)$ and $q(x)$ have the same domain and the same range.

Step-by-step explanation:

$p(x) = 6-x$ and

$q(x) = 6x$

First of all, let us have a look at the definition of domain and range.

Domain of a function $y =f(x)$ is the set of input value i.e. the value of $x$ for which the function $f(x)$ is defined.

Range of a function $y =f(x)$ is the set of output value i.e. the value of $y$ or $f(x)$ for the values of $x$ in the domain.

Now, let us consider the given functions one by one:

$p(x) = 6-x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which p(x) is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

$q(x) = 6x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which $q(x)$ is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

Hence, the correct answer is:

$p(x)$ and $q(x)$ have the same domain and the same range.

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3 years ago

OBTAINING ONE HEAD ONLY WHEN A DIE IS<br> ROLLED AND 2 COINS ARE TOSSED.<br> Probability

Valentin [98]

Answer:

⅓

Step-by-step explanation:

n(s) 1 die & 2 coins = 6×4 = 24

n (event) 1 head = 6 (by die) +2( by coins)

= 8

so, probability P = 8/24 = ⅓

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3 years ago

The electronics company makes two types of switches. Type a takes 4 minutes to make and requires $3 worth of materials.Type b ta

Shalnov [3]

Let

x ------> number of switch type A

y -----> number of switch type B

Remember that

1 hour=60 min

32 hours=32*60=1,920 minutes

4x+5y=1,920 -------> equation 1

3x+5y=1,740 ------> equation 2

Solve the system of equations

Solve by graphing

using a graphing tool

see the attached figure

Solution is

x=180

y=240

therefore

<h2>the number of switch type A was 180</h2><h2>the number of switch type B was 240</h2>

3 0

1 year ago