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In-s [12.5K]
3 years ago
11

Solve this please

g2" id="TexFormula1" title=" logx + log \frac{x - 2}{21} = 3 log2" alt=" logx + log \frac{x - 2}{21} = 3 log2" align="absmiddle" class="latex-formula">
please with steps​

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

x = 14 or —12

Step-by-step explanation:please see attachment for explanation

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How many decibels is this? show work​
slavikrds [6]

Answer:

  • <u>115 dB</u>

Explanation:

<u>1. Given equation:</u>

\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2

<u>2. Given intensity:</u>

I=0.315W/m^2

<u>3. Decibels</u>

\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115

4 0
3 years ago
Pls answer the question attached
barxatty [35]

\huge\mathfrak{\underline{answer:}}

\large\bf{\angle ACD = 105°}

__________________________________________

\large\bf{\underline{Here:}}

  • BCD is an isosceles right triangle , right angled at D
  • ABC is an equilateral triangle

\large\bf{\underline{To\:find:}}

  • ∠ ACD

\large\bf{In\: triangle\:ABC:}

❒ Sum of all angles is 180° , since it is an equilateral triangle all the three angles would be same

\large\bf{\underline{So}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle ACB = \frac{180}{3}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle ACB = 60°}

\large\bf{In\: triangle\:BDC}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle D = 90°}

\bf{⟼\angle DBC =\angle DCB }(Isosceles triangle)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DBC + \angle BDC + \angle DCB = 180° }

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼2\angle DCB + 90° = 180°}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼2\angle DCB = 180 -90}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DCB = \frac{90}{2}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DCB = 45°}

\large\bf{\underline{Therefore,}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟹\angle ACD = \angle ACB + \angle DCB}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟹\angle ACD = 60+45}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹\angle ACD = 105°}

6 0
3 years ago
Pls help me!!! ( pls dont answer if you don’t have the answer I will report you ...).
bezimeni [28]
I think 517.26
I did 10 times 3^2 (9) it equals 90. Then 90 times 3.14 and got 282.74. Then did 800- 282.74 and got 517.26
5 0
3 years ago
Read 2 more answers
The inequity of Six times a number x is at least −24
professor190 [17]

Answer:

6x ≥ -24

x  ≥ -4

Step-by-step explanation:

the inequality of Six times a number x is at least −24

6x ≥ -24

Divide each side by 6

6x/6  ≥ -24/6

x  ≥ -4

5 0
3 years ago
A group of college students are volunteering for Help the Homeless during their spring break. They are putting the finishing tou
s344n2d4d5 [400]
Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour.  Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour.  His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator.  72 is the first number that both 9 and 8 divide evenly into.  Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x.  Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x.  We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.
8 0
3 years ago
Read 2 more answers
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