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masya89 [10]
3 years ago
5

Find the indicated missing angle. Round to the nearest angle.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

Answer:

The missing angle 'x' is 22.29°.

i.e.     x\:=\:22.29^{\circ \:\:}

Step-by-step explanation:

Let 'x' be the missing angle of the triangle.

Using the formula

                     tan x = opp ÷ adjacent

                     tan x = 30 ÷ 72

                     tan x = 0.41

                          x=\tan ^{-1}\left(0.41\right)

                             x\:=\:22.29^{\circ \:\:}

Therefore, the missing angle 'x' is 22.29°.

i.e.     x\:=\:22.29^{\circ \:\:}

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3 years ago
6 gallons/minute is equal to how many qt an hour show work
amm1812
6x60=360. 4 quarts is equal to 1 gallon so multiply 360 by 4 and you’d get 1440. So the answer should be 1440.
7 0
3 years ago
Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
out of

\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
\frac{3}{4}
out of the right hand side to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



This further gives us,


\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


5 0
3 years ago
Read 2 more answers
Which of the following is equal to the square root of the cube root of 6?
stiks02 [169]

The correct answer is: [A]: " 6 to the power of (1 over 6) " .

Explanation:

________________________

√ [(∛6)] = √ [6⁽¹/³⁾ ] = [6⁽¹/²⁾ ] ⁽¹/³⁾ = 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) = ???? ;


<u>Note</u>: \frac{1}{2}  *\frac{1}{3}      =   \frac{(1*1)}{(2*3)}    =   \frac{1}{6} ;

________________________

→ 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) ;

= 6^ ( ⁽¹/⁶⁾ ) ;

→ which is: Answer choice: [A]: " 6 to the power of (1 over 6) " .

________________________

7 0
3 years ago
Read 2 more answers
Can Someone PLEASE help me <br> And if you can show your work.
Setler79 [48]
V= pi r2 h/3
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V= pi (93.6)
V= 293.904
Hope this helps!

8 0
3 years ago
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