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k0ka [10]
3 years ago
10

Pls help. Question above

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

m =  \frac{5}{2}

Step-by-step explanation:

Here are the laws which would be used in this question:

<u>Indices:</u>

• \sqrt{a}  =   {a}^{ \frac{1}{2} }

• \frac{1}{a}  =  {a}^{ - 1}

<u>Logarithm</u>

• log_{a}( {x}^{n} )  = n log_{a}(x)

log_{m}( \sqrt{2} )  +  log_{m}(8)  +  log_{m}( \frac{1}{2} )

=  log_{m}( {2}^{ \frac{1}{2} } )  +  log_{m}( {2}^{3} )  +  log_{m}( {2}^{ - 1} )

=  \frac{1}{2}  log_{m}(2)  + 3 log_{m}(2)   -  log_{m}(2)

=  \frac{5}{2}  log_{m}(2)

GrogVix [38]3 years ago
6 0
What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared
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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
CaHeK987 [17]
Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 / <span> <span> <span> 2.3094 </span> </span> </span>
Area of the Base = <span> <span> <span> 41.5692387633 </span> </span> </span>

Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72

<span> <span> Total Area = 41.5692387633 </span> + 72</span>
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3 years ago
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Solution <br> 2 &gt; x/3 -1
Dmitry_Shevchenko [17]

Answer:

X < 9

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the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of
ludmilkaskok [199]

Answer:

<h2>64 cm²</h2>

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

<u>1,600 m² </u> = <u>      5² m²  </u>    

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x =<u> 1600 m² </u>

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

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3 years ago
Line b passes through points (5, 5) and (10, 8). Line c passes through points (4, 8) and (1, 13). Are line b and line c parallel
lora16 [44]

Answer:

Step-by-step explanation:

In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3.  Thus, the slope of the line connecting the first two points is m = 3/5.

In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5.  Thus, the slope of the line connecting the first two points is m = -5/3

Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.

3 0
3 years ago
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