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g100num [7]
2 years ago
14

If f(x) = 3x-2 and g(x) = x+²,

Mathematics
1 answer:
ser-zykov [4K]2 years ago
8 0

Answer:

x

Step-by-step explanation:

f(g(x)) = 3(\frac{x+2}{3} )-2\\= x + 2 - 2\\= x

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Percy is filling a cylindrical tank with water. The tank is
Archy [21]

Answer:

B

Step-by-step explanation:

78x9=702

702/6=117 minutes.

7 0
3 years ago
Read 2 more answers
Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
tester [92]
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
3 0
3 years ago
To create an entry​ code, you must first choose 2 letters and​ then, 4 ​single-digit numbers. How many different entry codes can
Murrr4er [49]
Assuming that the letters can only be capitals or non-capitals then:
(26P2)*(9P1)*4 = 23400 possible combanations 
8 0
3 years ago
What is seven squared?
Goryan [66]
Ur answer is going to be 49
7 0
3 years ago
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