Mathematics College
Answers
Answer 1
To calculate the sum of the interior angles of a polygon we must take into account the following formulas: x = (n - 2) × 180°, and y = sum of the interior angles ÷ number of sides.
How to calculate the sum of the interior angles in a polygon?
To calculate the sum of the interior angles of a polygon we must take into account the following formula:
x = (n - 2) × 180°
In this formula the value of n represents the number of sides of the polygon. It should be noted that this formula is used when the polygon is irregular, that is, it does not have all the equal sides.
For polygons that are regular we must use the following formula: x = sum of interior angles ÷ number of sides.
According to the above, if we have an irregular pentagon we could calculate the sum of its internal angles as follows:
x = (5 - 2) × 180°x = 3 × 180°x = 540°
On the other hand, if the pentagon is regular, we apply the formula above and then the second formula as shown below:
x = (5 - 2) × 180°x = 3 × 180°x = 540°
y = 540° ÷ 5y = 108°
Note: This question is incomplete because the question is missing. This is the complete question.
How to Calculate the sum of interior angles in a pentagon?
Learn more about polygon in: https://brainly.com/question/2511126
Related Questions
Please help me with this
Answers
Step-by-step explanation:
this is true answers of that ⬆️⬆️
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let y represent the distance (in meters) from the safe zone after x seconds and determine the function that represents the situation.
Answers
Answer:
y = 25x - 85
Step-by-step explanation:
Every second (x) that passes by is 25 meters gained, and since she's 85 meters away from the safe distance still, the y intercept is -85.
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This item has two parts.
1.
Mr. Cates, the principal at a local middle school, made a rule that there must be 1 adult
for every 4 students attending a field trip.
Part A. Complete the table to show the number of adults for 12, 24, and 40 students.
Number of Students Number of Adults
4.
12
5.
24
6.
40
7.
There will be 33 students attending a field trip to an art museum.
.
8.
Part B. How many adults would need to attend the trip?
9.
Answers
Answer/Step-by-step explanation:
Part A:
[tex]Key:\left[1 Adult = 4 Student][/tex]
[tex]Formula: Divide[/tex] [tex]by[/tex] [tex]4[/tex]
12 Student = 3 Adult
24 Student = 6 Adult
40 Student = 10 Adult
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.
Determine the factors of x^2 - 8x + 16.
a) (x + 4) (x - 4)
b) (x - 4) (x - 4)
c) (x + 1) (x + 4)
d) (x - 2) (x - 2)
Answers
The answer is B. (x-4)(x-4)
Answer:
B) (x-4)(x-4)
Step-by-step explanation:
x^2-8x+16
(x-4)(x-4)
Mitchell drew a scale drawing of a house. The hall closet is 6 inches long in the drawing. The
actual closet is 4 feet long. What scale factor does the drawing use?
Answers
Answer:
First, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.
The area of a triangular region is 3,136 sq . cm. if the perpendicular from one vertex to the opposite side is 64 cm, find the length of its base
Answers
area=3136sq.cm
height=perpendicular=64 cm
base=?
area=1/2*base*height
3136=1/2*base*64
therefore,, base=98
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Use reasoning to solve for the unknown number. five is the quotient of 100 / some number what is the number 5 is the quotient of 100 divided by _____.
Answers
Answer: 20
Step-by-step explanation: just do 100/5=20 so do 100/20=5 hope this helps!!
Answer:
20
Step-by-step explanation:
the guy above me ∧ is correct! Hope this helps! :)
The independent variable is the same as the x values and the _____
Answers
Let X and Y two nonempty sets. ... The variable x is called the independent variable (also sometimes called the argument of the function), and the variable y is called dependent variable (also sometimes called the image of the function.)
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find w=a+bi=[tex]\sqrt{z}[/tex], where a and b are real numbers
[tex]\sqrt{2i}[/tex]
Answers
I assume you're talking about finding the square roots of 2i.
We have
•modulus: |2i| = √(2²) = 2
•argument: arg(2i) = π/2
so that the polar form of 2i is
2i = 2 exp(i π/2)
By DeMoivre's theorem,
√(2i) = √2 exp(i (π/2 + 2πk)/2)
where k = 0 or k = 1.
For k = 0,
√(2i) = √2 exp(i (π/2)/2)
… = √2 exp(i π/4)
… = √2 (cos(π/4) + i sin(π/4))
… = √2 (1/√2 + 1/√2 i)
… = 1 + i
For k = 1,
√(2i) = √2 exp(i (π/2 + 2π)/2)
… = √2 exp(i 5π/4)
… = √2 (cos(5π/4) + i sin(5π/4))
… = √2 (-1/√2 - 1/√2 i)
… = -1 - i
What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?
Answers
Answer:
b = 9.12
Step-by-step explanation:
Simplify the second expression and compare with the first one:
- 3.2(4x - 2.1) + 2.4 = - 12.8x + 3.2*2.1 + 2.4 = - 12.8x + 6.72 + 2.4 = - 12.8x + 9.12
Comparing with the first expression the value of b is:
b = 9.12
PLEASE HELP!!! How much blueberry pie will each person get if 4 people share one half of the pie equally?
Answers
Answer:
Each person gets one eighth of the pie.
Step-by-step explanation:
1/2 pie divided by 4.
1/2 / 4 = 1/2 / 4/1 = 1/2 × 1/4 = 1/8
Answer: Each person gets one eighth of the pie.
Half of a pie already is 1/2 then split that into 4 so it would be an eighth being served equally amongst them
Michael drives 18 miles in 12 minutes. If he drove three hours in total at the same rate, how far did he go?
Answers
Answer:
270 miles
Step-by-step explanation:
set up as proportion and cross multiply to solve. additionally, i represented 3 hours as 180 minutes
18 miles/12 minutes = x/180 minutes
x = 270
therefore, he went 270 miles
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On a map, inch represents mile.
.
What distance on the map represents 1 mile?
⭕️ 2/5 in
⭕️ 5/8 in
⭕️ 1 3/5 in
⭕️ 2 1/2 in
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If the scale were 1:63,360, for instance, then 1 inch on the map would represent 63,360 inches or 1 mile on the ground (63,360 inches divided by 12 inches = 5,280 feet or 1 mile).
help me solve this please
Answers
Answer:
By angle sum property
[tex](x + 22) + 60 + 58 = 180 \\ x + 140 = 180 \\ x = 40[/tex]
hope it helps you<3
Answer:
58+22+X+60=180°
x=180°-140°
x=40°
In the data set below, what is the mean absolute deviation?
8 4 7
8
5
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
Submit
Answers
Add the numbers and divide by 5 to get a mean of 6.4
8 - 6.4 = 1.6
4 - 6.4 = -2.4
7 - 6.4 = 0.6
8 - 6.4 = 1.6
5 - 6.4 = -1.4
Add the absolute value of each: 1.6 + 2.4 + 0.6 + 1.6 + 1.4 = 7.6
Divide by 5 = 1.52
1.5
A bag has 4 yellow marbles and 16 red marbles. Half of the red marbles are made of glass. A marble is selected at random from the bag. What is the probability
that it is a red, glass marble?
Write your answer as a fraction in simplest form.
Answers
Step-by-step explanation:
Hi. Good evening. Hope you're having a great time?
I hope my answer helps you. You can confront me if there is a misunderstanding.
Good night.
She's going to bake 12 batches of cookies. Each batch requires 1/8 cup of sugar. How many cups of sugar will grandma need for all 12 batches?
Answers
1.5 cups of sugar
>>
1/8 cup PER batch * 12 batches
(1/8)*12 = 1.5 cups
What is 2 ÷
1
6
?
StartFraction 1 Over 12 EndFraction
2
6
12
Answers
Answer:B) 24D) 48Step-by-step explanation:Given:Two fractionsTo find:Number that can be chosen as Common denominator such that numerator is also a whole number ?Solution:Common denominatorfor two fractions and is chosen asLCM or multiple of LCMof (q, s).ORCommon denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.
1. y=900(1.27)^x
what is the initial value?
growth or decay?
what is the percent of change?
Answers
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form [tex]y=a(b)^x[/tex], where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.
A computer is on sale and is marked down 30% off regular price. After 13% tax, you pay $355.95. Calculate the regular price of the computer.
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Answer:
you need to use the before change and after method
How do you solve this problem?
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Answer: I don’t understand where the problem is? Can u show your whole paper so I can have a better understanding ?
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
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analyze data in picture
a 5*7 parallelogram and a half circle with a diameter of 5
5+7+7+5pi
is around
34.71
The campers in cabin d walked 1/6
of the way to silver stream how many miles did they walk
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Answer:
but what is the question
Please show work thank you math experts
Answers
Answer:
1. 35 - 176 = -141
2. 0.55 × 1.79 = 0.9845
3. 11.38 × 5.46 = 62.1348
Hope it helps and have a great day! =D
~sunshine~
Rewrite 32 +68= 100 using the Commutative Law of Addition
Answers
68 + 32 = 100 or 32 + 68 = 68 + 32
Can I get some help? I'll give lots of points
Answers
Try this option (all the details are in the attachment).
Question
Find the area of the figure.
Answers
Answer:
25
Step-by-step explanation:
If you count the squares, the answer is 25
What is 12 x 11 i need this now
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Answer:
bru its 132
Step-by-step explanation:
Answer:
that is 132
Step-by-step explanation:
12 over 11 then multiply
Jorge paid $9 for a book that was originally $12. What was the % discount for the book
Answers
Answer:
25%
Step-by-step explanation:
12=100%
3=25%
9=75%
What are the coordinates of the point on the directed line segment from (−1,4) to (8,−8) that partitions the segment into a ratio of 2 to 1?
Answers
Answer:
777
Step-by-step explanation:
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