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KATRIN_1 [288]
2 years ago
7

4 EZ GEOMETRY QUESTIONS FOR 20 POINTS!

Mathematics
1 answer:
MatroZZZ [7]2 years ago
6 0

Answer:

1. use the formula

(n-2)180

(20 - 2)180\\18 * 180 = 3240

2. use the formula

360/n\\360/12\\n = 30

3. There is only one at 360 degrees

4. there are 6 rotational symmetries and the number of reflectional symmetries would be 6 as you can see:

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Find the exact location of all the relative and absolute extrema of the function. HINT [See Examples 1 and 2.] (Order your answe
icang [17]

Answer:

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum (or "no absolute maximum")

Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

  h'(t) = 24t^2 -48t = 24t(t -2)

This has zeros at t=0 and t=2, so that is where extremes will be located.

We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

  h(-1) = 8(-1)²(-1-3) = -32

  h(0) = 8(0)(0-3) = 0

  h(2) = 8(2²)(2 -3) = -32

  h(∞) = 8(∞)³ = ∞

The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.

The extrema are ...

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum

_____

Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

5 0
3 years ago
Megan and molly have an age gap of 6 years. Megan is older. If molly is 8 years old, then how old is Megan?
Maurinko [17]

Answer:

Megan is 14

Step-by-step explanation:

Megan is M

Molly is Mo

Mo = 8

M = x

6 + mo = x

6 + 8 = 14

8 0
3 years ago
Fully simplify only sing positive exponents: <br><br> 3xy^2/9x^8y^6
GuDViN [60]

Answer:

Step-by-step explanation:

3/9 = 1/3

xy^2/x^8y^6 = 1/x^(8-1)y^(6-2) = 1/x^7y^4

therefore, 1/3x^7y^4

5 0
3 years ago
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The sum of two numbers is 62 . The smaller number is 16 less than the larger number. What are the numbers?
Artyom0805 [142]
23 and 39

23 + 39 = 62 
39 - 23 = 16 
5 0
3 years ago
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Find the area of a rectangle with length (3x+2) units with width ( 4x+10 ) units​
pantera1 [17]

Answer:

Step-by-step explanation:

Area of rectangle = length * width

 = (3x + 2)(4x + 10)

  = 3x *(4x + 10) + 2*(4x + 10)

 = 3x *4x + 3x *10 + 2*4x + 2*10

 = 12x² + <u>30x + 8x</u> + 20   {Combine like terms}

  = 12x² + 38x + 20

6 0
2 years ago
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