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forsale [732]
1 year ago
7

T = AB-5 for A what would be the answer for A

Mathematics
1 answer:
Ainat [17]1 year ago
3 0

The given equation solved for A is A = (T + 5)/ B

<h3>Solving linear equation</h3>

From the question, we are to solve the given equation for A

To solve the equation for A, we will simply make A the subject of the equation

The given equation is

T = AB - 5

Solving for A

T = AB - 5

Add 5 to both sides of the equation

T + 5 = AB - 5 + 5

T + 5 = AB

Divide both sides of the equation by B

That is,

(T + 5)/B = AB/B

(T + 5)/B = A

∴ A = (T + 5)/ B

Hence, the given equation solved for A is A = (T + 5)/ B

Learn more on Solving linear equation here: brainly.com/question/1531728

#SPJ1

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liubo4ka [24]

Step-by-step explanation:

x- 8=-6

x= -6+8

x=2

hope it helps

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Decide whether the table represents a linear or exponential function circle with a linear exponential then write the function fo
Sergio [31]

This function starts at (0,3), so we have f(0)=3.

Then, every time x increments by 1, y doubles. This is typical of exponential functions. In linear functions, every time x increments by 1, y increments by a fixed amount (the slope of the function).

So, this is an exponential function, and the equation is

f(x)=3\cdot 2^x

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3 years ago
Find the exact value of the expression.<br> tan( sin−1 (2/3)− cos−1(1/7))
Sonja [21]

Answer:

\tan(a-b)=\frac{2\sqrt{5}-20\sqrt{3}}{5+8\sqrt{15}}

Step-by-step explanation:

I'm going to use the following identity to help with the difference inside the tangent function there:

\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}

Let a=\sin^{-1}(\frac{2}{3}).

With some restriction on a this means:

\sin(a)=\frac{2}{3}

We need to find \tan(a).

\sin^2(a)+\cos^2(a)=1 is a Pythagorean Identity I will use to find the cosine value and then I will use that the tangent function is the ratio of sine to cosine.

(\frac{2}{3})^2+\cos^2(a)=1

\frac{4}{9}+\cos^2(a)=1

Subtract 4/9 on both sides:

\cos^2(a)=\frac{5}{9}

Take the square root of both sides:

\cos(a)=\pm \sqrt{\frac{5}{9}}

\cos(a)=\pm \frac{\sqrt{5}}{3}

The cosine value is positive because a is a number between -\frac{\pi}{2} and \frac{\pi}{2} because that is the restriction on sine inverse.

So we have \cos(a)=\frac{\sqrt{5}}{3}.

This means that \tan(a)=\frac{\frac{2}{3}}{\frac{\sqrt{5}}{3}}.

Multiplying numerator and denominator by 3 gives us:

\tan(a)=\frac{2}{\sqrt{5}}

Rationalizing the denominator by multiplying top and bottom by square root of 5 gives us:

\tan(a)=\frac{2\sqrt{5}}{5}

Let's continue on to letting b=\cos^{-1}(\frac{1}{7}).

Let's go ahead and say what the restrictions on b are.

b is a number in between 0 and \pi.

So anyways b=\cos^{-1}(\frac{1}{7}) implies \cos(b)=\frac{1}{7}.

Let's use the Pythagorean Identity again I mentioned from before to find the sine value of b.

\cos^2(b)+\sin^2(b)=1

(\frac{1}{7})^2+\sin^2(b)=1

\frac{1}{49}+\sin^2(b)=1

Subtract 1/49 on both sides:

\sin^2(b)=\frac{48}{49}

Take the square root of both sides:

\sin(b)=\pm \sqrt{\frac{48}{49}

\sin(b)=\pm \frac{\sqrt{48}}{7}

\sin(b)=\pm \frac{\sqrt{16}\sqrt{3}}{7}

\sin(b)=\pm \frac{4\sqrt{3}}{7}

So since b is a number between 0 and \pi, then sine of this value is positive.

This implies:

\sin(b)=\frac{4\sqrt{3}}{7}

So \tan(b)=\frac{\sin(b)}{\cos(b)}=\frac{\frac{4\sqrt{3}}{7}}{\frac{1}{7}}.

Multiplying both top and bottom by 7 gives:

\frac{4\sqrt{3}}{1}= 4\sqrt{3}.

Let's put everything back into the first mentioned identity.

\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}

\tan(a-b)=\frac{\frac{2\sqrt{5}}{5}-4\sqrt{3}}{1+\frac{2\sqrt{5}}{5}\cdot 4\sqrt{3}}

Let's clear the mini-fractions by multiply top and bottom by the least common multiple of the denominators of these mini-fractions. That is, we are multiplying top and bottom by 5:

\tan(a-b)=\frac{2 \sqrt{5}-20\sqrt{3}}{5+2\sqrt{5}\cdot 4\sqrt{3}}

\tan(a-b)=\frac{2\sqrt{5}-20\sqrt{3}}{5+8\sqrt{15}}

4 0
3 years ago
Use compatible numbers to estimate the quotient <br> 252÷3
ICE Princess25 [194]

Answer:

The value of the given expression is 84.

Step-by-step explanation:

The given expression is

\frac{252}{3}

The number 252 can be written as 240+12, because 24 can easily divisible by 3.

The compatible numbers are 240 and 12

\frac{252}{3}=\frac{240+12}{3}

\frac{252}{3}=\frac{240}{3}+\frac{12}{3}

\frac{252}{3}=80+4

\frac{252}{3}=84

Therefore the value of the given expression is 84.

4 0
2 years ago
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geniusboy [140]

Answer:

10 with a remainder of 1

Step-by-step explanation:

and also, you should use a program like cymath for that.  Only use brainly for problems that cant be answered by a website like that.  

Good luck!

3 0
3 years ago
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