Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
Answers
The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
What is the area of a regular polygon?The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
The side of the triangle is 10 units.
Apothem of an equilateral triangle
[tex]s = \frac{\sqrt{3} a}{6}[/tex]
s= [tex]\sqrt{3} \times 10/6[/tex]
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
A = [tex]1/2 \times 2.9 \times 30[/tex]
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;
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Answer:
(A) 2.9
(C)30
(A)1/2(2.9)(30)
(D)The same despite using different formulas
Step-by-step explanation:
I did it
Related Questions
The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?
Answers
Answer:
75
Step-by-step explanation:
322 = 2(86) + 2w
322 = 172 + 2w
322-172 = 172 +2w -172
150 = 2w
150/2 = 2w/2
w=75
Suppose that the objective function coefficient for product C increases by $8. What impact will this have on the current values of the optimal solution
Answers
When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
What is an objective function?An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
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HELP WILL MARK BRAINLIST AND 5 STARS
Answers
Answer:
10 ft
Step-by-step explanation:
5 1/6 + 4 5/6 = 10
5 + 4 = 9
1/6 + 5/6 = 6/6 = 1
9 + 1 = 10
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answers
Answer:
see below for the whole unit activity
Step-by-step explanation:
Calculate the average daily balance, finance charge, and new balance using the average daily balance method. Round all dollar amounts to the nearest cent. If applicable, include a thousands comma. Monthly rate: 1.75% Date Payments Purchases Balance Number of Days Product 9/1-9/5 $387.525 1,937.60 976 $50.00 $337.521 337.52 977 - 9/18 A В С 9/19 $62.66 $400.181 400.18 9/20-9/30 D E F Total 30 G A= $ BE C= $ D=$ E= F=$ G=$ Average daily balance : 30 = $ Finance charge = monthly rate x average daily balance = $ New balance = previous balance payment/credits + finance charge + new purchases = $
Answers
Answer:
Step-by-step explanation:
Credit should go to the previous helper here:
https://brainly.com/question/21285117
I have not cross-checked but the previous answers were:
"
For average daily balance:
Form date 9/1 to date 9/5 :
Balance x number of the days = $ 387.52 x 5 days = $ 1937.6
As on date 9/6 :
($ 387.52 - $ 50.00) x 1 day = $ 337.52
From date 9/7 to date 9/18 :
Balance = $ 337.50
Number of days = 12 days
Therefore, product = 12 days x $ 337.52
= $ 4050.24
As on 9/19 :
($ 337.52 + $ 62.66) x 1 day = $ 400.18
From date 9/20 to date 9/30
Balance :$ 400.18
Number of days = 11 days
Therefore, product = 11 days x $ 400.18
= $ 4401.98
Average daily balance
= ($ 1937.6 + $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30
= $ 370.91
Finance charge = $ 370.91 x 1.75 %
= $ 6.49
New balance = $ 370.91 + $ 6.49
= $ 377.4
"
If you read 84 pages in 156. At this rate how long will it take you to read 21 pages?
Answers
Answer:
39
Step-by-step explanation:
you can set a proportion
84/156 = 21/x
when u solve for x u get 39
Find the area of each triangle 10in. 9in.
Answers
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
help please.. write the equation of the blue line using slope-intercept form (y=mx+b)
Answers
y = mx + p
p = - 7 since the line cuts the y-axis in -7
and m the slope ?
we choose 2 points (-2 ; 0) and (0 ; - 7)
we move of 2 units towards the left to go down of 7 units
=> m = - 7/2
y = - 7/2x - 7
or
y = -3,5x - 7
Write down a number which is •a multiple of 4. •a factor of 400. •not 4 or 400
Answers
Answer:
200
Step-by-step explanation:
4 multiplied by 50 = 200
400 divided by 200 = 2
so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)
What's the answer?? I really need help
Answers
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
the 6th term is 22 and the common difference is 6
Answers
Answer:
I have no idea what are you talking about......
Find the derivative of 76x + 1 at x = 1.
Answers
Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds
Answers
Answer:
20 seconds
Step-by-step explanation:
I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.
As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.
The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
What are some properties of a cosine function?Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = aPeriod = bFor this case, we're given that:
[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]
We can rewrite it as:
[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]
Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).
Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
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Find the values of x and y
x=
and
y=
Answers
Answer:
x=145 and y=35
Step-by-step explanation:
the hole line equals 180 so do 35-180 which equals 145 and y would equal 35
Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)
Answers
Solve for x by simplifying both sides of the equation, then isolating the variable.
help ASAP!!! answer e f g h question
Answers
Step-by-step explanation:
answer......
...........
Jasmyn and Samantha go to the mall to go shopping. Jasmyn buys a new t-shirt that is $24.99 and Samantha buys a new pair of pants that are $48.99. If sales tax is 6%, how much will they have to pay total for the t-shirt and pants including tax?
The total cost of both items is $ ____
Answers
Answer:
78.42
Step-by-step explanation:
[tex]1.06(24.99 + 48.99)[/tex]
[tex]1.06 \times 73.98 = 78.42[/tex]
Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Fraction is converted to percentage:
[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %
Hope this helps
PLEASEE HELPP!!!
What is the mistake in setting up the quadratic formula?
Answers
Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
Find the 11th term of the following geometric sequence 2,6,18,54,…
Answers
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
One number is two times greater than another number. if the greater number is x what is the other number?
Answers
Answer:
[tex]\frac{1}{2}x[/tex]
Step-by-step explanation:
If the greater number is x and it is two times greater than the other number then the other number is half as big. This is true because 2*[tex]\frac{1}{2}[/tex]x = x
The other number is equal to x/2.
What is a Fraction?A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.
As per the given data:
We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.
The greater number = x
Let's assume that the smaller number is y.
From the given data in the question:
One number is two times greater than another number
= x = 2y ...(i)
The other number that is the smaller number is given by:
By dividing eq (i) by 2 from both sides.
y = x/2
The other number is equal to x/2
Hence, The other number is equal to x/2
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In a regular polygon the line from the center to the mid-point of an outer side is a(n)
Answers
Answer:
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
Step-by-step explanation:
Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).
What is a cube?It is a polygon having six faces.
The volume of a cube is a side cube.
We have,
The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.
Thus,
The line from the center to the mid-point of an outer side is a(n) is Apothem.
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A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?
Answers
Answer:
1.714 feet
Step-by-step explanation:
slope is rise over run.
rise would be the vertical measurement and run would be the horizontal measurement.
24/14 = 12/7
12/7 = 1.714
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
Answers
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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please help??????????????????????????????? so confused
8s-11s+6s
Answers
Answer: = 3 seconds
Step-by-step explanation: combine the like terms Hope it helps !!
To simplify: 8s - 11s + 6s. Simplify the like terms by combining them
Simplifying 8s - 11s + 6s will give 3s.
Given,
8s - 11s + 6s
Now,
Expression : 8s-11s+6s
To simplify the expression combine like terms. So, all the terms consists of variable s.
Combine all terms having same sign,
So,
Firstly apply addition
8s + 6s
= 14s
Now,
Apply subtraction,
14s - 11s
= 3s
Therefore the simplified version is 3s.
Know more about expressions,
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please help me please
Answers
Answer:
Heres the answer Hope this helps!:)
The diameter of a circle is 1213 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = _ / in.
Answers
Answer:
the answer 6 1/6
Step-by-step explanation:
proof here
Answer: 6/1 6
Step-by-step explanation: i took the quiz
Find the total surface area of the cube.
2.2 cm
Answers
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answers
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
m(m − n)
for m = 3 and n = 1
Answers
Answer: 6