Answers
Given:
A 7-sides regular polygon.
To find:
The sum of the interior angles of the given regular polygon.
Solution:
The formula for the sum of the interior angles of a regular polygon is:
[tex]Sum=180^\circ(n-2)[/tex]
Where, n is the number of sides of the regular polygon.
The given regular polygon has 7 sides. Putting [tex]n=7[/tex] in the above formula, we get
[tex]Sum=180^\circ(7-2)[/tex]
[tex]Sum=180^\circ(5)[/tex]
[tex]Sum=900^\circ[/tex]
Therefore, the sum of the interior angles of the given regular polygon is 900 degrees.
Related Questions
A firm desires to control inventory levels so as to minimize the sum of holding and order costs. It costs the firm $50 to place an order. The firm estimates its annual carrying charge is 20%. Weekly demand is 100 units, and there are 50 weeks in the work year. The item costs $10 per unit. The lead-time for the product is 3 weeks. Assume that there are 5 working days per week. What quantity of items should the firm order each time so as to minimize total inventory costs, i.e., what is the EOQ?
A. 100
B. 224
C. 500
D. 1000
E. none of the above
Answers
Answer:
C. 500
Step-by-step explanation:
Given that
The ordering cost per order is $50
The carrying cost percentage is 20%
The weekly demand is 100 units and there are 50 weeks in the work year
The cost per unit is $10
We need to find out the economic order quantity i.e. EOQ
So we applied the above formula
= √(2 × weekly demand × no of weeks × ordering cost) ÷ √(carrying cost × cost per unit)
= √(2 × 100 × 50 × $50) ÷ √(20% × $10)
= √(500,000 ÷ 2)
= 500 units
hence, the option c is correct
find the nth term of the following sequence :
5, 20, 45, 80, 125
Answers
The nth term of the following sequence is: 5n²
What is arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are given the sequence are;
5, 20, 45, 80, 125
The quadratic sequence formula : an²+bn+c
2nd difference 2a = 10
a = 5
1st difference 3a+b = 15
Then substitute 5
3(5)+b = 15
b = 0
The nth term rule : a + b + c = 5
Now substitute a and b values into equation
5 + 0 + c = 5
c = 0
The nth term is: 5n²
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A marketing executive surveyed 1,000 shoppers at a grocery store to determine the highest price shoppers are willing to pay for a gallon of ice cream. His data is shown in the table.
Highest Price (in dollars)
Number of Shoppers
5
365
6
406
8
120
10
94
12
5
Based on the data, of 10,000 shoppers, which BEST estimates the number of shoppers that would be willing to pay at least $8.00 for a gallon of ice cream?
A
120
c
B
219
с
1,200
D
2,190
Answers
Answer:
c
Step-by-step explanation
120/1000 people bought 8 dollar ice cream. 120/1000 = 0.12 = 12% so 12% of 10000 is 1200
What is the area of the circle with a radius of 21 in . and a circumference of 131.88 in ?
Answers
So 21^2 x pi = 1385.4 in^2
Help me fast!!!! :)
Answer my other questions plz
Answers
Answer:
x = 20°
Step-by-step explanation:
Angles on a straight line = 180°
Therefore,
3x° + 80° + 2x° = 180°
Add like terms
5x + 80 = 180
Subtract 80 from each side
5x + 80 - 80 = 180 - 80
5x = 100
Divide both sides by 5
5x/5 = 100/5
x = 20°
Anything would be greatly appreciated!!
Answers
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
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help me with this question please
Answers
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
Can any1 help with this pls
Answers
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
H=12
Step-by-step explanation:
¿En cuanto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres?
Answers
Answer:
L.4118.36.
Step-by-step explanation:
Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:
3000 x (1 + 0.08 / 4)^4x4 = X
3000 x (1 + 0.02)^16 = X
3000 x 1.02^16 = X
3000 x 1.3727 = X
4118.357 = X
Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.
help me please with the question
Answers
Answer:
pretty sure its 499 or 498 but im horible at math so dont quote me on that
tep-by-step explanation:
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function. v (t) = 26,000 (0.84)¹ Find the value of the car after 7 years and after 12 years. Round your answers to the nearest dollar as necessary. Value after 7 years: Value after 12 years: $0
Answers
I think it's 84 I'm not good with math though I multipled 7 and 12
A roller-rink floor is shown below. Each end is semi-circle. What is its area? Use t = 3.14
85 ft
20 ft
40 ft
a. A = 4500 ft2b. A = 4564 ft2
c. A = 4656 ft?
d. A = 4730 ft?
Please someone help me
️️
Answers
Answer:
6884
Step-by-step explanation:
8x8x5
You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
Answers
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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Hey guys can you help me with this math problem I'm stuck
Answers
The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2
What is a function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is y = |x|.
The vertex is (0,0). The vertex of the transformed function is (-4,-2)
It means the graph is shifted 4 units left sides and 2 unit downward direction.
The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).
The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).
The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.
The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.
The equation of the transformed equation is g(x) = f(x + 4) - 2
g(x) = |x + 4| -2
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Find the value of x .
Answers
Answer:
x = 45°
Step-by-step explanation:
x° + 45° + 90° = 180°
x° + 135° = 180°
x° = 180° – 135°
x° = 45°
i hope this helped
Two cards are drawn at random from a well shuffled pack of cards. What is the probability that
i)both are spades or both are diamonds?
ii)both are queens or both are red coloured?
iii)both are diamonds or neither is a king?
Answers
Answer:
Step-by-step explanation:
1 in a tenth of a million. I did the math with all the cards and how many are kinds diamonds or red or queens yk.
50 POINT ANSWER (screenshot attached)
Answers
Step-by-step explanation:
x + 6y = 8 ........... ( ×2 ) ....... ( 1 )
2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )
2x + 12y = 16
- - -
2x + 4y = -8
+12y - ( +4y ) = 16 - 8
12y - 4y = 8
8y = 8
divide both sides by the coefficient of y ( 8 )
8y / 8 = 8 / 8
y = 1
substitute for x in equation ( 1 )
x + 6y = 8
x + 6 ( 1 ) = 8
x + 6 = 8
x = 8 - 6
x = 2
x = 2 , y = 1
if 6p = 120 what is p
Answers
Answer:
p = 20
Step-by-step explanation:
120 divided by 6 would = 20
Answer: p = 20
Step-by-step explanation:
120/6=20
6x20=120
In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard
deviation of 4.69, (a) how many scores are expected to be lower than 18.31 (one standard
deviation below the mean)? (b) How many of the 100 scores are expected to be below 32.38 (two
standard deviations above the mean)?
Answers
a). The number of scores which are expected to be lower than 18.31 is; 16 scores.
b). The number of scorers that are expected to be below 32.38 is; 98 scores.
Calculations involving normal distribution.As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.
First, since the mean is given as; 23 and the standard deviation is; 4.69.
By observation; 23 - 4.69 = 18.31 and
23 + 4.69 + 4.69 = 32.38.
a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.
Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.
b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.
Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.
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The amount of vitamin C found in one cup of six
varieties of orange juice is shown below. What is the
median amount of vitamin C in the different varieties?
104 mg, 85 mg, 83 mg, 100 mg, 89 mg
Answers
Answer:
Question:The amount of vitamin C found in one cup of six varieties of orange juice is shown below. What is the median amount of vitamin C in the different varieties?104 mg, 85 mg, 83 mg, 100 mg, 89 mgSolution:First thing first, we've to arrange the data in an ascending order=> 83mg ,85mg ,89mg ,100 mg ,104 mg
Now ,Since the no. of observation is odd(here,5), we'd apply this formula[tex] = > (\frac{n + 1}{2})[/tex]
Where ,n= No. of observations, Hence, the median of the above data[tex] = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3[/tex]
is the third observation ↦89mg[tex] \\ \\ [/tex]
Hope it helps
-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
The median amount of vitamin C in the different varieties is 89mg.
what is median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Given:
104, 85, 83, 100, 89
On arranging the given data:
83, 85, 89, 100, 104
as, the data is in odd number.
So,
median = (n+1)/2
=(5+1)/2
=3
The third element is 89.
Hence, the median amount of vitamin C in the different varieties is 89mg.
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What is the distance between the two points shown below?
Answers
Answer:
[tex]distance = \sqrt{ {( - 3 - ( - 3))}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)
Answers
Answer:
y = -3/2x + 1 1/2
Step-by-step explanation:
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
6 = -3/2(-3) + b
6 = 4.5 + b
1.5 = b
A cell tower is located 3 miles east and 6 miles north of the center of a small town. The cell tower has a coverage radius of 4 miles.
Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.
A house is located 7 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
Answers
The house is located 6.87 miles to the east of the cell tower.
What is Pythagoras theorem?“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Given:
Let the center of the town represent the origin (0,0).
Also 1 unit = 1 mile.
Since the cell tower is located 3 miles east and 6 miles north of the center of a small town, it is represented by A(3, 6)
The cell tower has a coverage of radius 4 miles. This can be represented by a circle with equation:
(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius.
Then, (x - 3)² + (y - 6)² = 4²
(x - 3)² + (y - 6)² = 16
b) The house is 7 miles north. It can be represented by y = 5 line.
To find the distance east of the house we have to substitute y = 5 and solve for x,
(x - 3)² + (y - 6)² = 16
(x - 3)² + (5 - 6)² = 16
(x - 3)² + 1 = 16
(x - 3)² = 15
(x - 3) = ±3.87
x= 3 ±3.87
x= 6.87 or 0.87.
Hence, the house is located 6.87 miles to the east.
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1/950/18/4
Write an equation and solve for b using the diagram
below. YOU MUST WRITE THE EQUATION IN
ORDER TO GET CREDIT.
40°
(6b+ 2)°
OLIC
Answers
One possible equation is (6b+2)+40 = 90
That equation solves to b = 8
======================================================
Explanation:
The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.
So (6b+2)+40 = 90 is one possible equation.
Let's solve for b.
(6b+2)+40 = 90
6b+42 = 90
6b = 90-42
6b = 48
b = 48/6
b = 8
---------------
A slight alternative.
The angles (6b+2), 40, and the 90 degree angle form a straight line.
The three angles add to 180
(6b+2)+(40)+(90) = 180 is another possible equation
6b+132 = 180
6b = 180-132
6b = 48
b = 48/6
b = 8
There are a total of 32 books and calculators on a table. The ratio of the number of books to the
number of calculators is 5: 3. How many calculators are on the table?
A. 3
B. 12
C. 20
D. 24
Answers
Answer:
B. 12
Step-by-step explanation:
Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.
Help ASAP!!! Pleaseeeeee
Answers
Answer:
y = 2 x 2 + 2 x + 4 should be the function.
Step-by-step explanation:
The last one can be anything, it said to predict so basically guess. From what I read from the graph, the y ( number of fruit flies ) doubles.
4 + 4 = 8
8 + 8 = 16
16 + 16 = 32
32 + 32 = 64
I'm sure your able to catch on.
I put a photo of the graph for your sketch, if you need help labeling then you can ask me :)
Please help me! I need to answer this question and I don’t know how do to it if someone can help me please
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.
The graph of f'(x) shows a local minimum at x = 1.
__
Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.
Which of the following functions describes the graph of g(x)? (5 points)
Rational function with one piece decreasing from the left asymptotic to the line y equals 2 and going through a hole at the point negative 2 comma eight-fifths and going down through the point 2 comma 0 asymptotic to the line x equals 3 and another piece decreasing from the left asymptotic to the line x equals 3 and going through the point 5 comma 3 going up to the right asymptotic to the line y equals 2
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared minus x minus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared plus x minus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared plus 5 x plus 6 end quantity
g of x is equal to the quantity 2 x squared minus 8 end quantity over the quantity x squared minus 5 x plus 6 end quantity
Answers
The equation of rational function is (c) g(x) = (2x + 4)/(x + 1).
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that,
The function g(x).
The graph of a function never touches the x = 1 line
At x = -1 there will be a vertical asymptote.
At x = -2 there will be a horizontal asymptote.
The equation of the function g(x) will be:
g(x) = (2x + 4)/(x + 1)
The equation of rational function is g(x) = (2x + 4)/(x + 1)
Therefore, g(x) = (2x + 4)/(x + 1) is correct.
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rashaads car used 2/3 of a gallon to travel 14 1/2 miles .How many miles can the car go on one gallon of gas
Answers
Answer:
21.75 or 21 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.