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Free_Kalibri [48]
3 years ago
12

A = 2/3 * (B + C) Solve for C

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0
Simplify 2/3(b+c) to 2(b+c)/3
a=2(b+c)/3

Multiply both sides by 3
a * 3 = 2(b+c)

Regroup terms
3a=2(b+c)

Divide both sides by 2
3a/2 = b+c

Subtract c from both sides
3a/2 - c = b

Switch sides
b = 3a/2 - c
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Solve for x on [0, 2pi]
cluponka [151]

The required solution to the trigonometry equation is x = π/4 + π n.

The equation of trigonometry functions is given in the question as

secx - cscx = 0

We have to determine the solution to the given equation

As per the question, we have

⇒ secx - cscx = 0

⇒ 1/cosx - 1/sinx = 0

⇒ (-cosx + sinx)/cosxsinx = 0

Using property : f(x)/g(x) = 0 ⇒ f(x) = 0

⇒ -cosx + sinx = 0

Divided by cosx into the equation,

⇒ -1 + tanx = 0

⇒ tanx  = 1

The general solution for tan tanx  = 1 is

⇒ x = π/4 + π n

Learn more about Trigonometric functions here:

brainly.com/question/6904750

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8 0
1 year ago
HELP ME PLEASEE:( I don’t understand this
soldi70 [24.7K]

Answer:

Rider A 450   Rider B 360

Step-by-step explanation:

6 0
3 years ago
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Use the information given to write the equation of the circle
iren2701 [21]

Answer:

i think you would multiply them but I'm not sure

7 0
3 years ago
Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".
kakasveta [241]
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) =  log(-20(9/100)+ 12√(9/100)) = 0.2553

<em>The maximum value of the function is 0.2553.</em>
5 0
3 years ago
What is the length of BC in the right triangle?
vazorg [7]
The answer is D.122 BC is the square root of 22 squared and 120 squared.
6 0
3 years ago
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