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alex41 [277]
3 years ago
5

Ian drew this example of a five-pointed star. He wants to create a computer program to draw five-pointed stars in general. To do

this, he needs to know about the relationships between the internal acute angles at the points of the star. What is the sum of the angles at its five points (in degrees)? Justify your answer.
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

The sum of the angles at its five points is 900 degrees.

<h3><u>Geometry </u></h3>

Since Ian drew a five-pointed star, to determine what is the sum of the angles at its five points in degrees, the following calculation must be performed:

  • Five pointed star = 5 triangles
  • 1 triangle = 180 degrees in its interior angles
  • 180 x 5 = 900

Therefore, the sum of the angles at its five points is 900 degrees.

Learn more about geometry in brainly.com/question/11298860

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marcia is buying a new car . she can choose from 4 car colors , 9 interior materials and 3 safety features. how many different c
katrin [286]

she can choose from 4 car colors , 9 interior materials and 3 safety features

4 x 9 x 3 = 108

Answer:

108 different combinations of cars Marcia could order

5 0
4 years ago
A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
Factor each denominator:<br> x2 - 6x + 8 =
Mademuasel [1]

Answer:

-96

Step-by-step explanation:

(2)(-6)(8)=(12)(8)=-96

3 0
3 years ago
A(n) _____is a integer less than zero.​
Ludmilka [50]

Answer: a negative integer

Step-by-step explanation: Negative numbers are less than zero.

4 0
3 years ago
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22.47 divided by 3.4
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About 6.6088 (rounded to the nearest thousandth)
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