Answers
The calculated values of the sum of interior angles of the shapes are 1080 degrees and 360 degrees
Calculating the sum of interior angles of the shapesThe formula of the sum of interior angles of a polygon is
Sum = (n − 2) * 180
For the octagon, we have
n = 8
This means that
Sum of angles = (8 − 2) * 180
Evaluate
Sum of angles = 1080
For the square, we have
n = 4
This means that
Sum of angles = (4 − 2) * 180
Evaluate
Sum of angles = 360
Hence, the sum of interior angles of the shapes are 1080 degrees and 360 degrees
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Related Questions
Bandar Industries manufactures sporting equipment. One of the company’s products is a football helmet that requires special plastic. During the quarter ending June 30, the company manufactured 3,500 helmets, using 2,485 kilograms of plastic. The plastic cost the company $16,401.
According to the standard cost card, each helmet should require 0.66 kilograms of plastic, at a cost of $7.00 per kilogram.
Required:
1. What is the standard quantity of kilograms of plastic (SQ) that is allowed to make 3,500 helmets?
2. What is the standard materials cost allowed (SQ × SP) to make 3,500 helmets?
3. What is the materials spending variance?
4. What is the materials price variance and the materials quantity variance
Answers
1. The standard quantity of plastic allowed to make 3,500 helmets is 2,310 kilograms.
2. The standard materials cost allowed to make 3,500 helmets is $16,170.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
1. The standard quantity of kilograms of plastic (SQ) allowed to make 3,500 helmets can be calculated as:
SQ = Standard quantity per unit × Actual output
= 0.66 kg/helmet × 3,500 helmets
= 2,310 kg
Therefore, the standard quantity of plastic allowed to make 3,500 helmets is 2,310 kilograms.
2. The standard materials cost allowed (SQ × SP) to make 3,500 helmets can be calculated as:
Standard materials cost allowed = Standard price × Standard quantity allowed
= $7.00/kg × 2,310 kg
= $16,170
Therefore, the standard materials cost allowed to make 3,500 helmets is $16,170.
3. The materials spending variance can be calculated as the difference between the actual cost incurred and the standard cost allowed:
Materials spending variance = Actual materials cost - Standard materials cost allowed
= $16,401 - $16,170
= $231 (Favorable)
Therefore, the materials spending variance is $231 (Favorable).
4. The materials price variance and the materials quantity variance can be calculated as follows:
Materials price variance = (Actual price - Standard price) × Actual quantity
= ($16,401/2,485 kg - $7.00/kg) × 2,485 kg
= $9,141.77 (Unfavorable)
Materials quantity variance = (Actual quantity - Standard quantity allowed) × Standard price
= (2,485 kg - 2,310 kg) × $7.00/kg
= $1,225 (Unfavorable)
Therefore, the materials price variance is $9,141.77 (Unfavorable) and the materials quantity variance is $1,225 (Unfavorable).
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Tyler, just letting you can do and then let it burn all the way down to nothing the initial length of a candle is 15 inches and the candle burns at a rate of 1.25 in./h right in equation for L in terms of tea, representing the length of the candle, remaining on burn in inches, tea hours, after the candles lit.
Answers
The equation for L in terms of tea, representing the length of the candle, remaining on burn in inches, tea hours, after the candles lit is 15 in - (1.25 in/hr)t
Given the initial length of a candle is 15 inches and the candle burns at a rate of 1.25 in./h
L(t) is a function of time, t:
L(t) = 15 in - (1.25 in/hr)t
Note that when the candle has burned down to nothing, L(t) = 0.
Set 15 in - (1.25 in/hr)t equal to zero and solve for t:
(1.25 in/hr)t = 15 in, or
t = 15/ 1.25 in/hr
t = 12 hrs
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If sin X degree equals 4/5, what is the value of B?
B=4
B=5
b=6
b=7
Answers
The value of B is 6 when the value of sin x degrees equals to 4/5.
In the given triangle diagram, the opposite side of x = 3b
The hypotenuse of the given triangle = 22.5
Given triangle is a right-angled triangle, in trigonometry, we know that in a right-angled triangle the sin x = opposite side of x / hypotenuse side
So, sin x = 3b/22.5
But, the given value is 4/5. So,
3b/22.5 = 4/5
3b = 90/5
3b = 18
b = 18/3
b = 6
From the above explanation, we can conclude that the value of b is 6.
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The Problem Rodeos have long been a part of the culture in the southernmost part of the country and the growing popularity of the annual Easter event across South America prompted the Rupununi Development Corporation to construct a luxury resort with 60 two-bedroom suites for the visiting cultural troupes (troupe leaders and artistes). Capacity is ten troupe leaders and fifty artistes. Each suite is equipped with a small kitchenette, which contains a 7.3 cu ft. refrigerator, a microwave, and a coffee maker. A Drystan 6-piece bedroom set and the Ashley stationary sofa and love seat (all imported from Manaus at considerable cost) are also part of the furnishings. Each accommodation also has an excellent view if the Kanuku Mountains and nearby savannahs. The facility cost the Corporation $1,920,000 to build and equip and depreciation $160,000 per year (a fixed cost). Other operating costs include: Labor $320,000 per year plus $5 per suite per day Utilities $158,000 per year plus $1 per suite per day Miscellaneous $100,000 per year plus $6 per suite per day In addition to these costs, costs are also incurred on food and beverage for each guest. These costs are strictly variable, and (on average), are $40 per day for troupe leaders and $15 per day for artistes. Required Part A Assuming that the facility can maintain an average annual occupancy of 80% in both troupe leader and artistes suites (based on a 360 -day year), calculate the following: i. the annual fixed costs ii. the variable cost per guest by type of guest iii. the annual number of guest days by type of guest
Answers
Part A:
i. Annual fixed costs:
Depreciation is a fixed cost, and it is given that the facility's annual depreciation cost is $160,000. Therefore, the total annual fixed costs would be:
Total annual fixed costs = Depreciation cost = $160,000
ii. Variable cost per guest by type of guest:
The variable cost per day for troupe leaders is $40, and for artistes, it is $15. The variable cost per guest can be calculated by multiplying the variable cost per day by the number of days of stay:
Variable cost per troupe leader guest = $40 x 1 guest x 360 days = $14,400
Variable cost per artiste guest = $15 x 1 guest x 360 days = $5,400
iii. Annual number of guest days by type of guest:
Assuming an average annual occupancy of 80% in both troupe leader and artistes suites, the annual number of guest days can be calculated as follows:
Number of troupe leader guest days = 10 guests x 360 days x 80% occupancy = 2,880 guest days
Number of artiste guest days = 50 guests x 360 days x 80% occupancy = 14,400 guest days
Therefore, the annual fixed costs are $160,000, the variable cost per troupe leader guest is $14,400, the variable cost per artiste guest is $5,400, and the annual number of troupe leader guest days is 2,880 and the annual number of artiste guest days is 14,400.
Is 93 + 7 positive or negative?
Answers
Answer:
93 + 7 = 100
Step-by-step explanation:
I would assume positive because 100 is above the x-axis not below it.
Can yall help me with this
Answers
Answer:
x = 67
Step-by-step explanation:
The two triangles are identail.
Answer:
x = 67
because 67 and x the same
Alice purchased a car for $24,000. The value of the car depreciates at a rate of 5.5% each year.
Which function equation represents the value of the car after t years?
ANSWER IS: f(t)=24,000(0.945)t
just took the test
Answers
According to the given question, Alice should use this equation f(t) = [tex]24,000(0.945)^t[/tex] to represent the value of the car after t years.
Depreciation is defined by who?Depreciation is the expected decrease in the value of fixed assets over the course of a fiscal year. For physical assets like real estate, machinery, vehicles, and other items, large lump sum acquisitions are made.
The equation[tex]f(t) = 24,000(0.945)^t[/tex] represents the value of the car after t years, where 0.945 represents the remaining value of the car after one year of depreciation at a rate of 5.5%.
To calculate the value of the car after two years, for example, we would substitute t = 2 into the equation:
f(2) = [tex]24,000(0.945)^2[/tex]
f(2) = 24,000(0.893025)
f(2) ≈ 21,433.80
Therefore, the value of the car after two years would be approximately $21,433.80.
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Y=-10x+1 with x being -5
Answers
Answer:
Y=-10x+1 with x being -5
y = -10 *-5 +1
y = -50+1
y =-49
all I need to know is the answer to E!!! DUE TOMORROW!!!
Answers
Answer:
Step-by-step explanation:
To estimate the monthly cost of electric, gas, and water utilities as 0.1% of the price of your house, you can multiply the price of your house by 0.001. For example, if the price of your house is $300,000, then the estimated monthly cost of these utilities would be $300,000 * 0.001 = $300.
It’s important to note that this is just an estimate and the actual cost of these utilities can vary depending on factors such as the size of your house, the number of people living in it, and your usage habits.
please help with this question!
Answers
Answer:
The true statements:
6 is an element of D
12 is an element of D
Find the slope of the line that passes through the given points.
(−1,−1) and (3,−4)
Answers
Answer: [tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
To find the slope of the line, we will use change in y over change in x.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-4--1}{3--1} =\frac{-4+1}{3+1} =\frac{-3}{4}[/tex]
Find the average rate of change of g(x)= 4x^2+3 on the interval [-4,1]
Answers
The rate of change is 4/1
what does scaled version mean in this case its 3:5 scaled version but i just want to know what it means i dont care about answers il give brainliest !
Answers
A 3:5 scaled version means that the dimensions of the new version are proportional to the original dimensions in a ratio of 3:5.
What does a scaled version mean?A scaled version is a version of a shape where every size in the original shape is multiplied by the same number.
In this situation, a 3:5 scaled version means that the dimensions (or sizes) of the new version are proportional to the original dimensions in a ratio of 3:5.
For example, if we have a circle with radius 20 cm, we can create a 3:5 scaled version by multiplying the radius by the ratio 3/5. That is:
scaled version radius = 3/5 * 20 = 12 cm
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8
Jonah is decorating a cake. He uses vanilla frosting on 1/5of the cake, lemon
frosting on 2/5 of the cake, and chocolate frosting on the rest of the cake.
Write and solve an equation to show the part of the cake with vanilla or
lemon frosting.
Show your work.
Answer
Answers
The part of the cake with vanilla or lemon frosting is 1/5 by using arithmetic and algebraic expression.
Let's start by defining the variable "x" as the part of the cake with vanilla or lemon frosting.
According to the problem, Jonah uses vanilla frosting on 1/5 of the cake, which can also be written as x = 1/5.
Similarly, he uses lemon frosting on 2/5 of the cake, which can be written as x = 2/5.
We know that the sum of the parts of the cake with vanilla, lemon, and chocolate frosting should equal the whole cake. Since there are only three types of frosting, we can write:
x + x + chocolate frosting = 1
2x + chocolate frosting = 1
We also know that chocolate frosting covers the remaining part of the cake, which is 3/5. Therefore, we can write:
chocolate frosting = 3/5
Substituting this value into the previous algebraic expression, we get:
2x + 3/5 = 1
Subtracting 3/5 from both sides of the equation, we get:
2x = 2/5
x = 1/5
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Please if you know the answer tel me thank you.
Answers
Answer:
Step-by-step explanation:
(a) currently the mode is pink. Mode means which one occurs the most.
If you take a pink out. Now P=3 G=3 and Y=3
(a) PINK
(b) Yellow, you want yellow to be the most/mode so they put a yellow back in
if the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m what is the value of b , the area of the base ? A. 13,062 m2 B. 13,062 m3 C.1,542 m2 D. 1,542 m3
Answers
Answer:
C
Step-by-step explanation:
The area of a rectangle is 2 dimensions so it would be measured in square meters.
a = lwh
26241 = lw(17) Divide both sides by 17
1542 = lw
The lw is he area of the base.
Helping in the name of Jesus.
Question Content Area Tanning Company analyzes its receivables to estimate uncollectible accounts. The accounts receivable balance is $310,000 and credit sales are $1,000,000. An aging of accounts receivable estimates that $21,700 of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,200 before adjustment?
Answers
The adjusting entry that Tanning Company will make for Allowance for Doubtful Account will be:
Debit: Bad Debt Expense $21,500Credit: Allowance for Doubtful Accounts $21,500How will Tanning Company adjust the allowance?Data:
Total credit sales = $1,000,000
Accounts receivable balance = $310,000
Estimated uncollectible receivables = $21,700
The adjusted balance for allowance for doubtful accounts will be:
= Credit balance + Estimated uncollectible receivables
= $2,200 + $21,700
= $23,900
So, the Company will make an adjusting entry by debiting Bad Debt Expense for $21,500 and crediting Allowance for Doubtful Accounts for $21,500 which will increase the balance of the allowance for doubtful accounts to $23,900.
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Find the Taylor polynomial T3(x) for the function f centered at the number a.
f(x) = e^x, a = 1
Answers
The Taylor polynomial T3(x) for the function f centered at the number a.
f(x) = e^x, a = 1 is
[tex]T3(x0 = e + e(x-1) + e(x-1)^ 2/2 + e(x-1)^3/6[/tex]
How do we calculate?A polynomial is described as an expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
The Taylor polynomial of degree n for a function f(x) centered at a is given by the formula:
[tex]pn(x)=f(c)+f′(c)(x−c)+f′′(c)2!....[/tex]
In this formula, f'(1), f''(1), f'''(1), and f^(n)(1) are the first, second, third, and nth derivatives of f(x), respectively, evaluated at a.
The symbol n! denotes the factorial of n, which is the product of all positive integers from 1 to n.
In the scenario above, we are given the function f(x) = e and a = 1.
The first derivative of e^x is e^x,
the second derivative is e^x,
and the third derivative is also eˣ.
We then evaluate these derivatives at a = 1, we get:
f(1) = e¹ = e
f'(1) = e¹ = e
f''(1) = e¹ = e
f'''(1) = e¹ = e
We substitute these values into the formula for the Taylor polynomial, and simplify to get Taylor polynomial T3(x) for the function:
[tex]T3(x0 = e + e(x-1) + e(x-1)^ 2/2 + e(x-1)^3/6[/tex]
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Can Anyone HELP?
The length of the base of an isosceles triangle is 4 inches less than the length of one of the two equal sides of the triangles. If the perimeter is 32, find the three sides of the triangle. If x represents one of the equal sides of the triangle, then which equation can be used to solve the problem?
A. 2x - 4 = 32
B. 3x + 4 = 32
C. 3x - 4 = 32
Answers
Let x be the length of each of the equal sides of the isosceles triangle. Then the length of the base is x - 4. The perimeter of the triangle is the sum of the lengths of the three sides, which is:
x + x + (x - 4) = 3x - 4
We know that the perimeter is 32, so we can set 3x - 4 equal to 32 and solve for x:
3x - 4 = 32
Adding 4 to both sides gives:
3x = 36
Dividing by 3 gives:
x = 12
Therefore, one of the equal sides of the triangle is 12 inches long, and the length of the base is 12 - 4 = 8 inches.
So the three sides of the triangle are 12 inches, 12 inches, and 8 inches.
The correct equation to solve the problem is (C) 3x - 4 = 32.
express 7 min 30 sec. as a percentage of 1 hour
Answers
Answer:
12.5 is the answer
Step-by-step explanation:
7 × 60 ( 7 being the minutes, 60 being the hour )
= 420
+ 30
= 450
450 ÷ 3600 × 100
45000 ÷ 3600
450 ÷ 30
= 12.5
12.5 being the answer
Hope this helps! Good luck!
The table below gives data from a linear function. Find a formula for the function.
Price per shirt, p($) 15 20 25
Number of shirts sold, q = f(p) 1000 750 500
a. f( p) = 1750p − 50 b. f( p) = 1000 − 50p c. f( p) = 1000 + 50 p
d. f( p) = 1750 + 50 p e. f( p) = 1750 − 50p
Answers
The formula for the linear function is f(p) = -50p + 1750. So, correct option is E.
To find the formula for the linear function from the given table, we need to determine the equation of a straight line that passes through the three given points. We can use the point-slope form of the equation of a straight line to solve for the slope and y-intercept.
Let's choose two of the given points, say (15, 1000) and (25, 500), to calculate the slope:
slope = (change in y)/(change in x)
= (500 - 1000)/(25 - 15)
= -50
Now, we can use the slope and one of the given points, say (15, 1000), to solve for the y-intercept using the point-slope form:
y - y₁ = m(x - x₁)
y - 1000 = -50(x - 15)
y - 1000 = -50x + 750
y = -50x + 1750
Therefore, the formula for the linear function is f(p) = -50p + 1750, which means that for each additional dollar increase in price per shirt, the number of shirts sold decreases by 50. Option (e) is the correct answer.
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Select the correct answer. A parabola declines through (negative 2, 4), (negative 1 point 5, 2), (negative 1, 1), (0, 0) and rises through (1, 1), (1 point 5, 2) and (2, 4) on the x y coordinate plane. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2? A parabola declines through (negative 2, 5), (negative 1 point 5, 3), (negative 1, 2), (0, 1) and rises through (1, 2), (1 point 5, 3) and (2, 5) on the x y coordinate plane. W. A parabola declines through (negative 2, 3), (negative 1 point 5, 1), (1, 0), (0, negative 1) and rises through (1, 1), (1 point 5, 1) and (2, 2) on the x y coordinate plane. X. A parabola declines through (negative 3, 4), (negative 2 point 5, 2), (negative 2, 1), (negative 1, 0), (0, 1), (0 point 5, 2) and (1, 4) on the x y coordinate plane. Y. A parabola declines through (negative 1, 4), (negative 0 point 5, 2), (0, 1) and (1, 0) and rises through (2, 1), (2 point 5, 2) and (3, 4) on the x y coordinate plane. Z. A. W B. X C. Y D. Z Res
Answers
Thw correct option based on the information given about the parabola will be B. X.
How to explain the parabolaThe observed parabola has its vertex situated at (0, 0), declining until (0, 0) then again rising. Its equation falls in the form of f(x) = a(x - 0)² + 0, which simplifies to ax².
In order to detect the value of 'a' we can utilize any point on the parabola itself. Let's take (1, 1):
1 = a(1)²
1 = a
Therefore, the formula for the presented parabola is exsiting in the form of f(x) = x².
Now consider g(x) = (x + 1)² such that it's merely a horizontal movement of function f(x) = x². The vertex of g(x) stands at (-1, 0) and linearly declines until (-1, 1) prior to onching higher again. All this leaves us with option X as the only conceivable graph for g(x).
Therefore, the answer is B) X.
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PLS HELP ILL GIVE BRAINLIEST
A photographer charges $150 for a one-hour photoshoot , then $50 for each additional 30 minutes or any part thereof, for up to 3 hours. Write a piecewise function to represent the total cost C (in dollars) for a photoshoot that lasts h hours.
Answers
Answer:
y= 50x + 150
Step-by-step explanation:
Answer:
Here’s a piecewise function that represents the total cost C (in dollars) for a photoshoot that lasts h hours:
150 for 0<h≤1
C(h)= {150 +100⌈2(h−1) ⌉ for 1<h≤3
Step-by-step explanation:
The first part of the function represents the cost for a photoshoot that lasts up to 1 hour. The second part represents the cost for a photoshoot that lasts more than 1 hour but no more than 3 hours. The ceil function rounds up to the nearest integer.
I hope this helps you! Have a nice day. (゜▽゜)つ Bye -
Mr.John borrowed $5,340.00 from the bank at 9.5% per annum simple interest for 5 years. Calculate The value of each montly installments
Answers
Answer:
5,340x.095=507.3
507.3÷5=101.46
101.46÷12=$8.45 interest
5,340÷5=1068
1068÷12= $89
89+8.45=$97.45
answer $97.45 a month
14. Peter makes $15 per hour as a gardener. He gets a 10% raise. Which of the following
statements are true about Peter's new rate of pay? Select the three correct answers,
A Peter will make an additional 1/100 of his salary per hour.
(B) Peter will make an additional $1.50
per hour.
C Peter's new hourly rate is $16 per hour.
D After working 5 hours at the new rate, Peter will make $82.50.
E If Peter gets an additional 10% raise, his new pay rate will be $18.15.
Answers
Find each angle measure.
Answers
Answer:
The answer for <M is 28°
Step-by-step Explanation:
<P=180-48
<P=132°
base angles in an isosceles are equal
<M+<N+<P=180
3y+1+2y+2+132=180
3y+2y+3+132=180
5y+135=180
5y=180-135
5y=45
divide both sides by 5
5y/5=45/5
y=9
<M=3(9)+1=27+1=28°
Solve for x. Round to the nearest tenth, if necessary.
Answers
The value of x in the triangle to the nearest tenth is 2.6.
What is the value of x?The figure in the image is a right triangle.
angle H = 43 degreeAdjacent to angle H = 2.8Opposite to angle H = xTo solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( H ) = opposite / adjacent
Plug in the given values and solve for x.
tan( 43° ) = x / 2.8
Cross multiply
x = tan( 43° ) × 2.8
x = 2.6 units
Therefore, the value of x is 2.6.
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Using the graphing Method, find the value of x in the system of equations y=4x-1 and y=-x+4
Answers
Answer: To solve the system of equations graphically, we need to graph both equations on the same coordinate system and find the point where they intersect. This point will give us the values of x and y that satisfy both equations.
First, we can rewrite the two equations in slope-intercept form:
y = 4x - 1 (equation 1)
y = -x + 4 (equation 2)
Now we can graph both equations on the same coordinate system. To do this, we can plot a few points for each equation and then draw a line through the points. Alternatively, we can use the y-intercept and slope of each equation to graph the lines. For equation 1, the y-intercept is -1 and the slope is 4. For equation 2, the y-intercept is 4 and the slope is -1.
We can see that the two lines intersect at the point (1, 3). Therefore, the solution to the system of equations is x = 1.
If Duane's income tax bill was $1000, what was his taxable income?
Answers
To determine Duane's taxable income, we need to know his tax rate. Let's assume that his tax rate is a flat 20%.
We can use the formula:
taxable income = tax bill / tax rate
Plugging in the values given, we get:
taxable income = $1000 / 0.20
taxable income = $5000
Therefore, Duane's taxable income was $5000.
Answer:
Without more information, it is not possible to determine Duane's taxable income.
The cost of a pen is $15. Find the cost of 162 pens
Answers
Answer: 15 x 162 = 2430$
162 x $15 = $2,430
The cost of 162 pens is $2,430. (Without tax)