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alukav5142 [94]
3 years ago
15

60 POINTS!!

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
The correct answers are
A. 144
B. No
Step2247 [10]3 years ago
5 0

Answer:

A 144

B no

Step-by-step explanation:

Decagon is a 10 sided figure

interior angle = 180 (n-2)/n where n=10

                         180*(10-2)/10

                           180*8/10

                           144

To tessellate, the angle must divide evenly into 360

360/144= 2.5

This is not evenly so it will not tessellate

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Which graph best represents the feasibility region for the system shown above? ( pics are in this)
zalisa [80]

Consider the system of inequalities

\left\{ \begin{array}{l}  y\ge 2 \\  x\le 6 \\  y\le 3x+2 \\  y\le -x+10. \end{array}\right.

1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

  1. y\ge 2 means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
  2. x\le 6 means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


5 0
3 years ago
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Hi who can help me do this 2quetion,I will mark brainlest ​
hodyreva [135]

Step-by-step explanation:

8.  log_{10}(2.15)   = 0.332 \: then \:   log_{10}(21500)   = ..... \\  log(21500)  =  log(2.15 \times 10000)  \\   =  log(2.15)  +  log(10000)  \\   = log_{10}(2.15)  +  log_{10}( {10}^{4} )  \\  = 0.332 + 4 log_{10}(10)  \\  = 0.332 + 4(1) \\  log_{10}(21500)  = 4.332

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

log(36) = 2a + 2b

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3 years ago
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If 25% of an amount is 10% What is<br>75%​
Katena32 [7]

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Step-by-step explanation:

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