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SOVA2 [1]
3 years ago
8

Question 1 (1 point)

Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer:

  • 1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. b

Step-by-step explanation:

Question 1

  • log3 9  = log 3 3² = 2

Question 2

  • log8 12 = log 12/log 8 = 1.19  

Question 3  

  • ln 7 = log 7 / log e = 1.95

Question 4  

  • log4 14 as a logarithm of base 3
  • log4 14 = log3 14/ log3 4

Question 5  

  • log6 5 as a logarithm of base 4
  • log6 5 = log4 5/ log4 6

Question 6

  • log4 (y − 9) + log4 3 = log4 81
  • log4 (3y - 27) = log4 81
  • 3y - 27 = 81
  • 3y = 108
  • y = 36

Question 7

  • 5 log2 k − 8 log2 m + 10 log2 n
  • log2 k^5 - log2 m^8 + log2 n^10 =
  • log2 (k^5n^10/m^8)

Question 8

  • 2 log x = log 36  log x^2 = log 36
  • x^2 = 36
  • x = √36
  • x = ± 6

Question 9  

  • 4 log12 2 + log12 x = log12 96  log12 16x = log12 96
  • 16x = 96
  • x = 6

Question 10

  • 2 log2 2 + 2 log2 6 − log2 3x = 3
  • log2 (4*36/3x) = 3
  • 48/x = 2^3
  • 48/x = 8
  • x = 48/8
  • x = 6

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Answer:

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Step-by-step explanation:

Distance from the base of the building to the person = 50 yards

Angle of elevation = 25°

From Δ ABC

⇒ \tan 25 = \frac{H}{25}

⇒ H = 25 \tan 25

⇒ H = 11.65 yards

Therefore  the height of the building is H = 11.65 yards

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                                                                           [42+0+70     -24+0+40   0+0+0]  
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yulyashka [42]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0         .... (1)

then the quadratic formula is

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

The given equation is

10x^2=6+9x

It can rewritten as

10x^2-9x-6=0            .... (2)

On comparing (1) and (2) we get

a=10,b=-9,c=-6

Using quadratic formula we get

x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(10)(-6)}}{2(10)}

x=\dfrac{9\pm \sqrt{81+240}}{20}

x=\dfrac{9\pm \sqrt{321}}{20}

Therefore, the correct option is B.

6 0
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