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maw [93]
3 years ago
12

I need help with problem 19

Mathematics
2 answers:
lara [203]3 years ago
8 0

Answer:

24

Step-by-step explanation:

The formula for calculating the sum of interior angles is:

(n - 2) x 180°  (where n is the number of sides)

interior angle of a polygon = sum of interior angles ÷ number of sides

165 = [ (n - 2) x 180° ] ÷ n

Mulitply both sides by n:             165n = (n - 2) x 180°

Expand brackets:                         165n = 180n - 360

Add 360 to both sides:    165n + 360 = 180n

Subtract 165n from both sides:   360 = 15n

Divide both sides by 15:                 24 = n

Therefore, the number of sides = 24

Vsevolod [243]3 years ago
6 0

Answer:

124

Step-by-step explanation:

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4% of how many days is 56 days
gulaghasi [49]
56/.04=1400

Is that what you meant?
6 0
4 years ago
Factor completely<br> (X^2 + x - 6) (2x^2 + 4x) =
Vikki [24]

Answer:

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

Step-by-step explanation:

(X^2 + x - 6) (2x^2 + 4x) =

Let's open the brackets carefully

x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

8 0
3 years ago
The length of a shadow of a tree is 9 ft. The distance from the top of the tree to the tip of the shadow is 16 ft. what is the h
Margarita [4]
So for this, you'll be using the pythagorean theorem to solve for the height.

9^2+b^2=16^2

Solve the exponents to get 81+b^2=256

Subtract 81 on each side to get b^2=175

Square root each side, and your answer should be b= \sqrt{175} or 13.23 ft
7 0
4 years ago
Please help!!!!!!
elixir [45]

Answer: A

Step-by-step explanation:

The area of the square is 10^2 = 100.

The area of the circle is (pi)(5^2) = 25pi.

So, the area of the region in the square but not in the circle is 100 - 25pi.

Thus, the desired probability is (100-25pi)/100, which is about 21.5%

4 0
2 years ago
What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 equal slices?
Alexxandr [17]

Solution:

<u>Step-1: Find the area of the pizza.</u>

  • Area of pizza = πr²
  • => πr² = π x 9 x 9
  • => 81π = Area of pizza

<u>Step-2: Find the area of the slice.</u>

  • = 81π/6 = Area of slice
  • => 27π/2 = 13.5π = Area of slice

Option D is correct.

3 0
3 years ago
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