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2 years ago

How to find number of sides in a regular polygon based on the 900 degree measure of all interior angles?

1 answer:

8 0

Sum of Interior Angles = (Number of Sides -2) • 180 degrees
900 = (Number of Sides -2) • 180 degrees
900 / 180 = Number of Sides -2
5 = Number of Sides -2
Number of Sides = 7
Polygon is a heptagon.
http://www.1728.org/polygon.htm

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Can you PLEASE help me with this?!

riadik2000 [5.3K]

Step-by-step explanation:

angle B=angle E

5x=45

x=9

4 0

2 years ago

Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses to from which to choose. (a) Ini

prisoha [69]

Answer:

So the number of total combinations is 35.

Step-by-step explanation:

We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.

Therefore, she have total 7 courses.

So, we calculate the number of combinations to choose 4 out of 7 courses.

We get:

$C_4^7=\frac{7!}{4!(7-4)!}=35\\$

So the number of total combinations is 35.

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3 years ago

Write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9

alexandr402 [8]

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

==========================================

Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

-----------

The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

4 0

2 years ago

Read 2 more answers

Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C

netineya [11]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

 $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

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3 years ago

Akira and her puppy are both dressing up as superheroes for Halloween this year. Akira needs 1 yard of cloth for her cape. She a

Ahat [919]

The feet of cloth that she should buy for the capes is 4 feet.

<h3>How many feet should she buy?</h3>

The mathematical operations that would be used to determine the answer are addition and multiplication.

Addition is the process of summing two or more numbers together. Multiplication is the process of determining the product of two or more numbers.

The first step is to convert yard to feet

According to the unit of conversion : 1 yard = 3 feet

1 x 3 = 3 feet

The second step is to add the feet needed for Akira's cape with the foot needed for the puppy's cape

Total feet needed = 3 + 1 = 4 feet

To learn more about addition, please check: brainly.com/question/349488

#SPJ1

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1 year ago