The area of this regular polygon is 46.8 square units
How to determine the area of this regular polygon?The given parameters are:
Perimeter, p = 54 m
Apothem, a = √3
The area of this regular polygon is then calculated as:
Area = 0.5 * Apothem * Perimeter
Substitute the known values in the above equation
Area = 0.5 * √3 * 54
Evaluate the product
Area = 46.8
Hence, the area of this regular polygon is 46.8 square units
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A drink bottle is 3/8 full. It contains 240 millilitres of water. How much water does the bottle contain when it is half-full?
Answer: 320 mL
Step-by-step explanation:
Given information
The bottle is currently 3/8 full
Current Volume = 240 mL
Concept:
Imagine the water in the bottle being separated into 8 parts
Currently, 3 parts are being occupied
Determine the volume for 1 part
3 parts = 240 mL
1 part = 240 / 3 = 80 mL
Determine the volume for half-full (4 parts)
1 part = 80 mL
4 parts = 80 × 4 = [tex]\Large\boxed{320~mL}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Solve by graphing. tan(30x - 90°) = -x³
The solution to the equation is 0.07, 0.17, 0.27, 0.38........
How to determine the solution to the trigonometry equation?The trigonometry equation is given as:
tan(30x - 90°) = -x³
We start by splitting the trigonometry equation as follows, by creating two different equations
y = tan(30x - 90°)
y = -x³
Next, we plot the graph of the trigonometry equations y = tan(30x - 90°) and y = -x³
From the graph of the trigonometry equations y = tan(30x - 90°) and y = -x³, we have the x coordinate of the point of intersection to be:
x = 0.07, 0.17, 0.27, 0.38........
Hence, the solution to the trigonometry equation is 0.07, 0.17, 0.27, 0.38........ .
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Write an absolute value equation to satisfy the given solution set shown on a number line
(infinity -1/2]u [-1/2 -1/2] u [1/2 infinity)
if a and b are consecutive even integers, where aa) 2a+1
b)2a^2+2b
c)3a^2+3b^2
d)2a+3b^2
e)2a+3b
The formula that can be used to illustrate consecutive even numbers is a + 2.
How to illustrate the information?It should be noted that the information is incomplete. Therefore, an overview will be given.
It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.
Examples of such numbers include 2, 4, 6,8, 10, etc.
In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.
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For a standard normal distribution, find:
P(-1.64 < z < 0.2)
For a standard normal distribution, the probability of the 2 - scores P(-1.64 < z < 0.2) is 0.52876
How to find the p-value from 2 z-scores?
We want to find the p-value between 2 z-scores expressed as;
P(-1.64 < z < 0.2)
To solve this, we will solve it as;
P(-1.64 < z < 0.2) = 1 - [P(z < -1.64) + P(z > 0.2)]
From normal distribution table, we have that;
P(x < -1.64) = 0.050503
P(x > 0.2) = 0.42074
Thus;
P(-1.64 < z < 0.2) = 1 - (0.050503 + 0.42074)
P(-1.64 < z < 0.2) = 0.52876
Thus, For a standard normal distribution, the probability of the 2 - scores P(-1.64 < z < 0.2) is 0.52876
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need this answered asap Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5
The function that has a minimum and is transformed to the right and down from the parent function is; g(x) = 8(x² - 3²) - 5
How to Interpret Functions?By inspection, only Functions B) and D) have a minimum.
For the first function in option B, we have:
g(x) = 4(x²- 6x + 9) + 1
This can be simplified to;
g(x) = 4( x - 3 )² + 1
Thus, we can say that this first function is transformed to the right and up from the parent function.
For the second function in option D, we have;
g(x) = 8(x² - 6x + 9 ) - 5
The function can be simplified to get;
g(x) = 8( x - 3 )² - 5
Thus, we can say that it is transformed to the right and down.
The function that has a minimum and is transformed to the right and down from the parent function is D
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Answer: option D
Step-by-step explanation:
prove 1-cot23 = 2/ ( 1- cot22)
From all the steps below, we have been able to prove that; 1 - cot23° = 2/(1 - cot22°).
How to prove trigonometric functions?We want to prove that 1 - cot23° = 2/(1 - cot22°).
We will prove it using the trigonometric expression
cot(22° + 23°) = cot45°
Using trigonometric identities, we can rewrite as;
(cot22° cot23° - 1)/(cot22° + cot23°) = 1
Cross multiply to get;
cot22° cot23° - 1 = cot22° + cot23°
Rearrange to get;
cot22° cot23° - 1 - cot22° - cot23° =0
⇒ cot22° cot23° - 1 - cot22° - cot23° + 2 =2
⇒ cot22° cot23° + 1 - cot22° - cot23° =2
⇒ cot22° cot23° - cot22° - cot23° + 1 = 2
⇒ cot22° (cot23° - 1) - 1 (cot23° - 1) = 2
⇒ (cot22° - 1) (cot23° - 1) = 2
Divide both sides by (cot23° - 1) to get;
cot23° - 1 = 2/(cot22° - 1)
⇒ 1 - cot23° = 2/(1 - cot22°).
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find the square roots by division method of
210,681
Answer: square of 459 is 210681
will give brainliest
The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
How to simplify the addition between two rational equations
In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:
(n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given(n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse[3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator(3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / ResultTo learn more on rational equations: https://brainly.com/question/20850120
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Please Help!!!
Type the correct answer in the box. Use numerals instead of words.
The surface area of a cone is square units. The height of the cone is times greater than the radius.
What is the length of the radius of the cone to the nearest foot?
The radius is about
feet.
Answer:
Step-by-step explanation:
9.05737
The length of the radius of the cone to the nearest foot is 5 feet.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
Given, The surface area of a cone is 216π sq units and the height of the cone is (5/3) times of the radius.
∴ h = (5/3)r and we know l = √(h² + r²) ⇒ l = √{(25/9)r² + r²} ⇒ l = √{(34/9)r²}.
∴ πrl = 216π.
√{(34/9)r³ = 216.
1.9r³ = 216.
r³ = 113.7.
r = 4.8 feet Or 5 feet.
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Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The equation y=60x+30
y=60x+30 represents what Health Club B charges. Health Club A charges a $50 sign-up fee and $27 per month.
Answer:
y = (constant variable x time) + independent variable
y = 60x + 30 ← Health Club B
y = 27x + 50 ← Health Club A
Step-by-step explanation:
I can't see the question at the bottom due to the covering but if you comment I can edit this and give a proper answer. Otherwise this is all I can give you.
Evaluate 3x² - 4xy + 2y² - 1 for x = - 3 and y = 5
Answer:
[tex]3x^{2} - 4xy + 2y { }^{2} - 1 \\ 3 \times ( - 3) { }^{2} - 4 \times ( - 3) \times 5 + 2 \times 5 {}^{2} - 1 \\ (3 \times 9) - ( - 60) + 50 - 1 \\ 27 + 60 + 50 - 1 \\ 165 [/tex]
Answer: 136
Substitute -3 for x and 5 for y.
[tex]3x^2 - 4xy + 2y^2 - 1[/tex]
[tex]3(-3)^2-4(-3)(5)+2(5)^2-1[/tex]
[tex]3(9)-4(-15)+2(25)-1[/tex]
[tex]27+60+50-1[/tex]
[tex]87+50-1[/tex]
[tex]137-1[/tex]
[tex]136[/tex]
hope this helped!
Which statement is true?
1-31 = 3 and -1-4| = -4
1-31 = 3 and 1-4| = -4
-131 = 3 and 14| = 4
1-31 = 3 and -14| = 4
Answer:
|-3| = 3 and -|-4| = -4
Step-by-step explanation:
The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.
|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true
|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false
-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false
|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false
__
Additional comment
A compound "and" statement is only true if all of the parts of it are true.
PLEASE I NEED THIS FAST there are 3 denominations of bills in a wallet: $1, $5, and $10. there are 5 fewer $5-bills than $1-bills there are half as many $10-bills if there is $115 altogether, find the number of each type of bill in the wallet
The count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
In the question, we are given that there are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills.
We are asked to find the count of each denomination, given there was altogether $115 in the bag.
We assume the number of $1-bills in the bag to be x.
Total amount in x bills of $1 = x * $1 = $x.
Given that there are 5 fewer $5-bills than $1-bills in the bag, number of $5-bills in the bag = x - 5.
Total amount in (x - 5) bills of $5 = (x - 5) * $5 = $5(x - 5).
Given that there are half as many $10-bills as $5-bills in the bag, number of $10-bills in the bag = (x - 5)/2.
Total amount in (x - 5)/2 bills of $10 = (x - 5)/2 * $10 = $5(x - 5).
Thus, the total amount in the bag = $x + $5(x - 5) + $5(x - 5).
But, the total amount in the bag = $115.
Thus, we get an equation:
$x + $5(x - 5) + $5(x - 5) = $115,
or, x + 5x - 25 + 5x - 25 = 115,
or, 11x = 115 + 50,
or, 11x = 165,
or, x = 165/11,
or, x = 15.
Thus, number of $1-bills = x = 15.
The number of $5-bills = x - 5 = 15 - 5 = 10.
The number of $10-bills = (x - 5)/2 = (15 - 5)/2 = 10/2 = 5.
Thus, the count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
The provided question is incomplete. The complete question is:
There are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills. If there is $115 altogether, find the number of each type of bill in the wallet."
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Name a pair of opposite rays on plane L.
Answer:
GC and GD
Step-by-step explanation:
The only points on plane L are: J, C, G, D
GC and GD
Cual es el valor de x+6=15
Answer: 9
Step-by-step explanation: it is what it is
15-6=9 omg i never knew
What index of m will equal to 1/m^2 ?
Answer:
index of m is -2
Step-by-step explanation:
any number or letter to the negatIve power(index) is the same as 1 divided by that number or letter to the positive index.
for example, 10^-2 = 1/10^2 and X^-4 is the same as 1/X^4.
Find the exact value of x.
X =
11
X
00
8
if g(x)=-2f(x), whats the right graphing
Answer:
IT HAS A SLOPE OF -2
Y INTERCEPT IS 0,0
Step-by-step explanation:
Complete the statement below with the appropriate term. According to John Locke, is how we acquire basic knowledge. Choose the best answer.
Which of the following explains why, in many of the problems, historical data is used?
Information changes rapidly.
It is an opportunity to study history at the same time.
Better math problems can be made from historical data.
Up-to-date information is difficult to find.
According to John Locke, Experience is how we acquire basic knowledge.
What explains why, in many of the problems, historical data is used is; Information changes rapidly.
What is the theory of John Locke?1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.
Thus, the missing word in the question is "Experience".
2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.
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If 2 angles have the same angle measure they are said to be what
2 angles that have the same angle measure are congruent.
Given that the two angles have the same angle measure.
Congruence is a term reserved for geometry. Two metrics are congruent when you can perfectly map to each other by mirroring, rotating, and translating without distortion.
We know that two shapes or objects are congruent if they have the same shape and the same size. For two angles to be congruent, they must coincide when they are overlapped. This is only possible if the two angles are equal.
Therefore, if two angles have the same measure, then they are said to be congruent.
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a tree 20 feet tall with a circumference of 3 ft has a vine wound around 7 times how long is the vine?
The length of the vine wounded to the tree is 21 feet.
How to solve circumference?Circumference is the perimeter of a circular object. Therefore,
circumference = 2πr
where
r = radiusThe circumference of the tree is 3 feet. A vine was wound around 7 times .
The length of the vine can be calculated as follows:
Therefore,
circumference = 3 ft
length of the vine = 7 × 3
length of the vine = 21 feet
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Mike and Tim are looking to earn a little extra money. The beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle. Mike realizes as they pick up it will get harder and harder to find more bottles. So as an incentive to keep looking he suggests a different form of payment. He suggests $0.10 for the first bottle and increase the pay by 2% for each bottle after that. Tim thinks Mike is crazy to propose an increase of just 2% per piece. He plans to ask for a one cent increase for every piece, starting at 15 cents for the first bottle
The first five terms of the sequence representing each bottle scheme for Mike is illustrated below.
How to calculate the sequence?From the information given, Mike and Tim are looking to earn a little extra money and the beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle.
For Mike, the price for the first bottle is $0.10.
The price for the second bottle will be:
= 0.10 × 1.02 = 0.102
The price for the third bottle will be:
= 0.10 × 1.02² = 0.10404
The price for the forth bottle will be:
= 0.10 × 1.02³ = 0.10612
The price for the fifth bottle will be:
= 0.10 × 1.02⁴ = 0.10824
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Complete question:
Mike and Tim are looking to earn a little extra money. The beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle. Mike realizes as they pick up it will get harder and harder to find more bottles. So as an incentive to keep looking he suggests a different form of payment. He suggests $0.10 for the first bottle and increase the pay by 2% for each bottle after that. Tim thinks Mike is crazy to propose an increase of just 2% per piece. He plans to ask for a one cent increase for every piece, starting at 15 cents for the first bottle. Write the first five terms of the. sequence representing each bottle scheme for Mike.
Find the magnitude of −1−5i
The magnitude of -1-5i is √26.
What is the magnitude of -1-5i ?
Given the complex expression; -1 - 5i
To find the magnitude, we use the formula;
| a+bi | = √[ a² + b² ]
a = -1b = -5| a+bi | = √[ a² + b² ]
| -1-5i | = √[ (-1)² + (-5)² ]
| -1-5i | = √[ 1 + 25 ]
| -1-5i | = √26
Therefore, the magnitude of -1-5i is √26.
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NEED HELP QUICKLY! 75 POINTS!!!!
Only 2 questions
1. Given the functions f(x) = log2(5x) and g(x) = [tex]5^{x}[/tex] – 2, which of the following statements is true?
a. Both f(x) and g(x) decrease on the interval of (–∞, 1).
b. Both f(x) and g(x) have the same domain of (0, ∞).
c. Both f(x) and g(x) have a common range on the interval (–2, ∞).
d. Both f(x) and g(x) have the same x-intercept of (1, 0).
2. What is the solution to 3y2 + 5y > –2?
a. x < –1 or x is greater than negative two thirds
b. x is greater than or equal to negative two thirds or x < 1
c. negative two thirds is less than or equal to x is less than or equal to 1
d. negative two thirds is greater than x is greater than negative 1
1. Given the functions f(x) = log₂(5x) and g(x) = 5ˣ - 2 only statement c is true
2. The solution of 3y² + 5y > -2 is a. x < –1 or x is greater than negative two thirds
1. How to find which statements are true.Statement a
Since f(x) = log₂(5x) which is a logarithm function is undefined for (-∞, 0) and defined for (0, +∞) and g(x) = 5ˣ - 2 which is an exponential function is defined for (-∞, +∞).
Also, since f(x) is decreasing on the interval (0, 1/5) while g(x) decreases on the interval (-∞, 0). So, they have do not have a common interval on (0, 1).
So, statement a. Both f(x) and g(x) decrease on the interval of (–∞, 1).
is false
Statement b
Since f(x) = log₂(5x) which is a logarithm function is defined for (0, +∞) and g(x) = 5ˣ - 2 which is an exponential function is defined for (-∞, +∞).
So, the statement b Both f(x) and g(x) have the same domain of (0, ∞) is false
Statement c
Since f(x) = log₂(5x) which is a logarithm function has a range of (0, +∞). and g(x) = 5ˣ - 2 which is an exponential function is has a range of (-2, +∞).
So, they have a common interval of (0, +∞).
So, the statement c. Both f(x) and g(x) have a common range on the interval (–2, ∞) is true
Statement d
To find the x-intercept of f(x), we equate f(x) to zero.
So, f(x) = log₂(5x)
0 = log₂(5x)
2⁰ = 5x
1 = 5x
x = 1/5
To find the x-intercept of g(x), we equate g(x) to zero.
g(x) = 5ˣ - 2
0 = 5ˣ - 2
2 = 5ˣ
x = ㏒₅2
Since the x-intercept of f(x) = 1/5 and the x- intercept of g(x) = ㏒₅2. So, they do not have a common x - intercept.
So, the statement d. Both f(x) and g(x) have the same x-intercept of (1, 0) is false.
So, only statement c is true
2. How to find the solution of 3y² + 5y > -2?3y² + 5y > -2
3y² + 5y + 2 > 0
3y² + 3y + 2y + 2 > 0
3y(y + 1) + 2(y + 1) > 0
(3y + 2)(y + 1) > 0
So, the boundary values are at
(3y + 2)(y + 1) = 0
(3y + 2) = 0 or (y + 1) = 0
y = -2/3 or y = -1
So, we require (3y + 2)(y + 1) > 0
For y < -1 say -2, (3y + 2)(y + 1) = (3(-2) + 2)((-2) + 1)
= (-6 + 2)(-2 + 1)
= -4(-1)
= 4 > 0
For -1 < y < -2/3 say -1/3, (3y + 2)(y + 1) = (3(-1/3) + 2)((-1/3) + 1)
= (-1 + 2)(-1 +3)/2
= 1(-2/2)
= -1 < 0
For y > -2/3 say 0, (3y + 2)(y + 1) = (3(0) + 2)((0) + 1)
= (0 + 2)(0 + 1)
= 2(1)
= 2 > 0
So, for (3y + 2)(y + 1) > 0, y < -1 or y > -2/3
So, the solution of 3y² + 5y > -2 is a. x < –1 or x is greater than negative two thirds
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Answer:
1. D. Both f(x) and g(x) have the same x-intercept of (1, 0).
2. A. x < –1 or x is greater than negative two thirds
Step-by-step explanation:
I took the exam
what is 4,928 will rounded to the nearest hundred
Answer:
4.93
See the discussion below if the number is 4928.
Step-by-step explanation:
Comment
Do you really mean hundred? If you do, the nearest hundred is 0 when the actual value is 4.928
If you mean the nearest hundredth that means that 2 is the value of the hundredth now. Rounded, the answer is 4.93
If the given value is 4928, the hundred's place is the 9. Look at the 10s place (2). Since the 2 is less than 5, the 9 is not changed. 2 zeros are at the end of 49 since the hundreds place is rounded.
4900 is the answer
Hi there,
please see below for solution steps :
__________
Let us revise the rounding rules :
1) if the number you’re rounding to is followed by a number from 0 to 4, you drop that number
2) if the number you’re rounding to is followed by a number equal to 5 or more, you add 1 to that number
________
Now,
Nearest Hundredth => 3 digits after the decimal point
Thus,
4.928 => 4.93
Hope the Answer - and steps - made sense to you,
Happy Studying !!
Frozen Melody
40 points
The table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches
Answer:
Step-by-step explanation:
answer: 47
add the heights then divide by 5
Item3 4.28 points eBookReferencesCheck my workCheck My Work button is now enabledItem 3 Yarra Fabrication estimates that its manufacturing overhead will be $2,342,400 in year 1. It further estimates that direct material costs will amount to $1,464,000. During July, Yarra worked on four jobs with actual direct materials costs of $76,000 for Job 0701, $104,000 for Job 0702, $135,000 for Job 0703, and $67,000 for Job 0704. Actual manufacturing overhead costs for the year were $2,480,000. Actual direct materials costs were $1,630,000. Manufacturing overhead is applied to jobs based on direct materials cost using predetermined rates. Required: a. How much overhead was applied to each of the four jobs, 0701, 0702, 0703, and 0704? b. What was the over- or underapplied manufacturing overhead for year 1?
First of all, we would calculate the predetermined overhead rate by using this formula:
Predetermined overhead rate = Manufacturing overhead/Direct material costs
Predetermined overhead rate = $2,342,400/$1,464,000
Predetermined overhead rate = 1.6 per DM $.
Next, we would calculate the overhead applied by using this formula:
Overhead applied = Job × DM cost
For job 0701, we have:
Overhead applied = 76,000 × 1.6
Overhead applied = $121,600.
For job 0702, we have:
Overhead applied = 104,000 × 1.6
Overhead applied = $166,400.
For job 0703, we have:
Overhead applied = 135,000 × 1.6
Overhead applied = $216,000.
For job 0704, we have:
Overhead applied = 67,000 × 1.6
Overhead applied = $107,200.
Part B.For the overapplied manufacturing overhead for year 1:
Less applied overhead = $1,630,000 × 1.6
Less applied overhead = $2,608,000.
Overapplied manufacturing overhead = Actual overhead cost - Less applied overhead
Overapplied manufacturing overhead = $2,480,000 - $2,608,000
Overapplied manufacturing overhead = $128,000.
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George cuts a rectangular piece of glass down one of the diagonals as shown below. What is the length of the diagonal that he cut to the nearest whole inch? Enter only the number. An image shows a rectangle with length = 18 inches and width = 36 inches. A red dotted line crosses the rectangle from the upper left corner to the lower right corner.
The length of the diagonal that he cut to the nearest whole inch is 36 inches
TriangleA rectangle with length = 18 inchesWidth = 36 inchesA red dotted line crosses the rectangle from the upper left corner to the lower right corner to form a triangle.
Length of the diagonal of a rectangle;
Hypotenuse² = adjacent² + opposite²
= 18² + 36²
= 324 + 1296
hyp² = 1620
Take the square root of both sideshyp = √1620
hyp = 35.4964786985976
Approximately,
hypotenuse = 36 inches
Therefore, the length of the diagonal that he cut to the nearest whole inch is 36 inches.
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A company's sales equal $60,000 and cost of goods sold equals $20,000. Its beginning inventory was $1,600 and its ending inventory is $2,400. The company's inventory turnover ratio equals:
The company's inventory turnover ratio, based on the financial data, equals 10 times.
What is the inventory turnover ratio?The inventory turnover ratio measures the number of times the company sells and replaces its inventory over a given period.
The formula for calculating the Inventory Turnover Ratio is the Cost of Goods Sold divided by the Average Inventory.
The Average Inventory is the mean of the beginning and ending inventories.
Data and Calculations:Sales revenue = $60,000
Cost of goods sold = $20,000
Beginning inventory = $1,600
Ending inventory = $2,400
Average inventory = $2,000 ($1,600 + $2,400)/2
Inventory turnover ratio = 10x ($20,000/$2,000)
Thus, the company sells and replaces its inventory over a period of 10 times.
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