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kodGreya [7K]
3 years ago
10

Solve the following

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

1. log_{10} \: 35 - \: log_{10}17.5

Answer: 0.331 \: aprox. [/tex]

2. log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54

Answer: -9 log_{3}

Explanation:

log_{10}35 -  log_{10}17.5 \\ =   log_ \frac{35}{17.5}  \\    = log_{10}0.5 \\   =  log_{5} -  log_{10}10 \\  =  log_{5 - 1} \\ = 0.669 - 1  \\  = 0.331 \: aprox.

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Simplify a - {b - [c - (d - e) - f] - g}. <br> User: Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].
scoundrel [369]
5t + (t - 3) - [(7t + 5) - (8 - 3t)]    (multiply -1 to (8 - 3t)

5t + (t - 3) - [(7t + 5) - 8 + 3t]

5t + (t - 3) - [7t + 3t + 5 - 8]

5t + (t - 3) - [10t - 3]        (multiply -1 to [10t - 3]

5t + (t - 3) - 10t + 3

5t + t - 10t - 3 + 3

-4t
answer
8 0
3 years ago
I dont know how to do this one
-BARSIC- [3]

Answer:

2\sqrt{34}

Step-by-step explanation:

We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}

hope this helped! :)

7 0
2 years ago
Please help me with this :)))))<br> If
jonny [76]

Answer:

c) x = 20, angle COD = 70 °

Step-by-step explanation:

(x+50)° + 90° +20° = 180°

x + 160° = 180°

x = 180°- 160°

x = 20

Angle COD = (x+50)° = (20 +50)° = 70°

Hope this helps

6 0
2 years ago
Give your answer in terms of <img src="https://tex.z-dn.net/?f=%5Cpi%20%5C%5C" id="TexFormula1" title="\pi \\" alt="\pi \\" alig
Marina CMI [18]

The length of the band in terms of π is given by the expression:

L = 40mm + π*10mm

<h3>How to get the length of the band?</h3>

Remember that for a circle of diameter D, the circumference is:

C = π*D.

Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).

because the diameter is 10mm, the length of the band will be:

L = 4*10mm + 4*(π*10mm/4)

L = 40mm + π*10mm

This is the length of the band in terms of π.

If you want to learn more about circles:

brainly.com/question/14283575

#SPJ1

7 0
2 years ago
What is the approximate area of the shaded region?
Sergeeva-Olga [200]

<span>7 x 7 = 49 area of square.</span>

<span /><span> The radius of the circle is half the diameter.   7 cm/2 = 3.5  </span>

<span>  A = 3.14 × 3.5 cm × 3.5 cm = 38.465</span>

Finale step.  Subtract the area of the circle from the area of the square.                     

49 cm^2 −38.465 cm^2 = 10.535 or round to 10.54 cm^2

D. 10.54


3 0
3 years ago
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