The value of the given series is 5/16. To find the value of 365 in the given series, we can observe that each term in the series can be written in the form: S = (n)/(2^(n-2) × (n+1) × (n+2)).
To simplify the expression, let's rewrite the series as follows: S = (6/24) + (7/120) + (8/600) + ... Now, we can see that the series is in the form of a geometric series with the common ratio r = 1/5. Using the formula for the sum of an infinite geometric series, we can calculate the value of S: S = (6/24) / (1 - 1/5) = (6/24) / (4/5) = (6/24) × (5/4) = 30/96 = 5/16.
Therefore, the value of the given series is 5/16. Since we are looking for the value of 365, it does not appear in the series.
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The graph of the set of ordered pairs below represents a linear function. Find the rate of change.
{(1,3), (2,5), (3,7), (4,9)}
The rate of change of the ordered pairs of the graph is 2.
What is the rate of change of ordered pairs?An indicator of how one quantity changes in relation to another is called a rate of change. The rate at which one quantity changes in relation to another quantity is known as the rate of change function.
Given that the ordered pairs of the graph are {(1,3), (2,5), (3,7), (4,9)}. The rate of change will be calculated as,
R = Δ y = Δx
R = ( 5 - 3 ) / ( 2 - 1 )
R = 2 / 1
R = 2
Therefore, the rate of change of the ordered pairs of the graph is 2.
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Order the numbers from least to greatest. 0.334, 1/3, 33.3%, 0.33
The order of the numbers is basically fourth then third then second number and then first number.
Given that numbers are 0.334, 1/3, 33.3%, 0.33.
We are told to write the order the numbers in ascending order.
First number=0.334
Second number=0.3333
Third number=0.333
(We have to calculate the percentage of the numbers and to calculate that we have to divide by 100)
Fourth number=0.33
We have to write the numbers in ascending order.
Ascending order is basically numbers from least to greatest numbers.
Ordering is basically fourth then third then second number and then first number.
Hence the order of the numbers is Fourth then third then second number and then first number.
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The set of ordered pairs below represents a linear function.
{(-2,-3), (0,-2), (2,-1), (x,y)}
What is one other pair of coordinates that could be the missing ordered pair, (x,y), in this set?
One other pair of coordinates that could be the missing ordered pair is (4, 0).
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-2, 0).Points on y-axis = (-3, -2).At point (-2, -3), a linear equation of this line can be calculated in slope-intercept form as follows:
y + 3 = (-2 + 3)/(0 + 2)(x + 2)
y = 1/2(x + 2) - 3
y = 1/2x - 2
In this exercise, we would use an online graphing calculator to plot the linear function in order to determine the missing ordered pair (4, 0).
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what the meaning of the second singular ideal(definition and examples) and what is different between singular ideal Z(R) and singular second ideal??
In ring theory, an ideal is a subring that has been multiplied on the left or right by the entire ring, or, equivalently, a subset of the ring that is closed under addition and multiplication by arbitrary elements of the ring. A second ideal of a ring R is a nonempty subset of R that is closed under addition and multiplication by all non-units in R.
The definition of a second ideal is therefore similar to that of an ideal, except that it is required that the ideal not contain any units of R, unlike the ideal, which can include units.
Singular ideals are a family of ideals of a commutative ring R that can be used to give information about the intersection of polynomial ideals with the set of singular points of an algebraic set defined by the ideals. The Z(R) singular ideal of a commutative ring R is the second ideal generated by the set of non-regular elements of R.
The difference between the singular ideal and the Z(R) singular ideal is that the singular ideal is the intersection of all ideals of R that vanish on the singular set of a variety defined by the ideal, while the Z(R) singular ideal is the second ideal generated by the set of non-regular elements of R.
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the hour hand of a clock is 6 inches long and the minute hand is 8 inches long. what is the ratio of the distance in inches traveled by the tip of the hour hand to the distance in inches traveled by the tip of the minute hand from noon to 3 p.m.? express your answer as a common fraction.
The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.
To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.
The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.
From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.
During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.
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The graph represents the cost y (in dollars) to open an online gaming account and buy x games. Find the slope and the y-intercept of the line.
Answer:
Slope = 0.1 or 1/10
Y-int. = 15
Step-by-step explanation:
We have points (0,15), (3,45), (6,75), and (9,105).
slope is rise over run, or rise/run.
So, 9-3/105-45=6/60
now, simplify 6/60.
6/60=1/10 or 0.1
We already have the y-intercept, (0,15), because that's what intercepts the y-axis.
The slope of the line is 10.
The y-intercept of the line is 15.
Locate two points on the graph, choosing points whose coordinates are integers. We will use (3, 45) and (9, 105).
Starting with the point on the left, (3, 45) going from the first point to the second point, (9, 105).
The rise on the vertical leg of the triangle = (105 - 45) = 60
The run on the horizontal leg of the triangle = (9-3) = 6
Use the slope formula.
\(m = \frac{rise}{run}\)
\(m=\frac{60}{6} =10\)
The slope of the line is 10.
The y-intercept of a graph is the point where the graph crosses the y-axis. (Because a function must pass the vertical line test, a function can have at most one y-intercept.
the y-intercept of the line is 15.
Therefore, The slope of the line is 10 and the y-intercept is 15.
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Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males ​(1000 ​cells/mu​L) Frequency 0​-99 3 100​-199 54 200​-299 76 300​-399 21 400​-499 0 500​-599 0 600​-699 1 Identify the lower class limits​ (in 1000 ​cells/mu​L).
1) The lower class limits: 100, 200, 300, 400, 500, 600 .
2) The upper class limits: 199, 299, 399, 499, 599, 699.
3) The class width: 100.
4) Class midpoints: 149.5, 249.5, 349.5, 449.5, 549.5, 649.5.
5) Class boundaries : 99.5, 199.5, 299.5, 399.5, 499.5, 599.5, 699.5.
6) The number of individuals included in the summary : 155
The lower class limit in each class: 0,100, 200, 300, 400, 500, 600.
The upper-class limit is the biggest value in each class.
so the upper-class limit is: 99, 199, 299, 399, 499, 599, 699.
As we know the class width is the difference between the lower limit of one class and the lower limit of the previous class.
For example, 300 is the lower limit of one class and the lower limit of the previous class is 200 , so 300 - 200 = 100.
We know that, the class midpoints are the average of the limits of a class.
So, using midpoint formula the class midpoints are:
\(\frac{100+199}{2} = 149.5\\\\\frac{200+299}{2} = 249.5\\\\\frac{300+3199}{2} = 349.5\\\\\frac{400+499}{2} = 449.5\\\\\frac{500+599}{2} = 549.5\\\\\frac{600+699}{2} = 649.5\\\)
We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.
So, the class boundaries for the first class = (99.5, 199.5)
the class boundaries for the second class = (199.5, 299.5)
the class boundaries for the third class = (299.5, 399.5)
the class boundaries for the fourth class = (399.5, 499.5)
the class boundaries for the fifth class = (499.5, 599.5)
The total of individuals is equal to the sum of all the frequencies of each class: 3 + 54 + 76 + 21 + 0 + 0 + 1 = 155
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The complete question is:
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males (1000 cells/muL) Frequency 0-99 3 100-199 54 200-299 76 300-399 21 400-499 0 500-599 0 600-699 1 Identify the lower class limits (in 1000 cells/muL).
Patrick won a sweepstakes and will receive money each week for 52 weeks. The first week he will receive $10. Every week after that he will receive 10% more than he got the previous week. How much money did he receive over the 52 weeks?
Patrick received a total of approximately $6,785.97 over the course of 52 weeks.
To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.
To find the sum of a geometric sequence, we can use the formula:
Sn = a * (r^n - 1) / (r - 1),
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).
Plugging these values into the formula, we can calculate the sum of the sequence:
S52 = 10 * (1.1^52 - 1) / (1.1 - 1)
After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.
As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.
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What's the inverse of f x )= 1 4x 7?
The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.
The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.
example;
If f(x)=1/4x+7 and x=3, then
f(3) = (1/4)3 + 7
7.75
The inverse of f is f^-1(x) = (x + 7) / 4.
If f^-1(7.75) = (7.75 + 7) / 4, then
f^-1(7.75) = 14.75 / 4
3.6875
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What is the X intercept of the equation y-1= -(x+5)?
Answer:
X-intercept is -4
Step-by-step explanation:
if an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? round your answer to the nearest thousandth.
The probability that the chosen adult have high school or some college degree but no college degree is 0.683.
From the definition of probability we know that,
Probability of Event = (Outcomes favorable to that event)/(Total number of outcomes under that event)
Total number of adults in the town is given by = 4286 + 6313 + 3033 + 1886 = 15518.
The number of adults have high school degree only = 4286
The number of adults have some college degree only = 6313
The number of adults have high school or some college degree but no college degree = 4286 + 6313 = 10599.
The probability that the chosen adult have high school or some college degree but no college degree is given by
= 10599/15518 [According to definition of probability]
= 0.683 [Rounding off to nearest thousandth]
Hence, probability that the chosen adult have high school or some college degree but no college degree is 0.683.
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The question is incomplete. The complete question will be -
1. Suppose manicures are produced according to \( m=\min \{s, l\} \) where \( s \) is manicure supplies and \( l \) is a labor hour from a manicurist. (a.) Is this production function homothetic? Plot"
The production function m=min{s,l}, where s represents manicure supplies and l represents labor hours, is not homothetic.
To determine if a production function is homothetic, we need to examine whether scaling the inputs by a common factor affects the output in a consistent way. In this case, the production function m=min{s,l} implies that the quantity of manicures produced is determined by the minimum of the supplies and labor hours.
Suppose we scale the inputs by a common factor k>0. If s and l are multiplied by k, the new inputs become ks and kl respectively. Now, let's consider the case where s>l initially. The production function will be m=min{ks,kl}=kl, as ks is larger than kl. However, if we scale both inputs by k, the new production function will be
\(m = min\{k^2s,k^2l\}=k^2l\). Since \(k^2l\) is not equal to kl, the production function is not homogeneous of degree one and therefore not homothetic.
In conclusion, the production function m=min{s,l} is not homothetic because scaling the inputs by a common factor does not result in a consistent scaling of the output.
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Write the expression in complete factored form.
5a(b + 1) + 3(b + 1) help
Answer:
(b+1)(5a+3)
Step-by-step explanation:
Notice how (b+1) appears on both sides. That means we can "factor it out" by moving it to the very left -
(b+1)
Now we know the form of the answer we can continue doing it.
For the next step, I take the terms 5a and 3 (what's left) and move them to the right as shown:
(b+1)(5a+3)
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Best regards
Peter just received a written warning from the HOA concerning the parking of his car overnight on a community street. Which of the following statements is true? a. Parking in the street overnight tonight may get Peter fined. B. Parking in the street overnight tonight may get Peter's car towed. C. Parking in the street overnight tonight may get Peter fined and his car towed. D. Parking in the street overnight tonight will probably just get Peter another warning.
The correct statement is Parking in the street overnight tonight may get Peter fined.
Given
Peter just received a written warning from the HOA concerning the parking of his car overnight on a community street.
What is HOA?The consequences for his action are, he will receive a monetary fine and his car will be towed for the reason that he didn't comply with the by-laws of the HOA.
Also, he was already given a warning for his actions but he still didn't follow.
In the given statement from the contract, Peter signed with his Homeowners' Association, we can see the explanation of the prohibition of parking on community streets and the consequences that a person has to face if he/she doesn't obey this rule.
According to the information presented in the text, if Peter parked again overnight in the community street, he might get fined.
Hence, the correct statement is Parking in the street overnight tonight may get Peter fined.
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Find the derivative of the function. f(x)=14x^3/2 −10x^1/2 f′'(x)=
The first derivative of the function f(x) = 14x^(3/2) - 10x^(1/2) can be found by applying the power rule for derivatives. According to the power rule, the derivative of x^n with respect to x is given by nx^(n-1). Applying this rule, we differentiate each term of the function:
f'(x) = d/dx [14x^(3/2)] - d/dx [10x^(1/2)]
= 14 * (3/2)x^(3/2 - 1) - 10 * (1/2)x^(1/2 - 1)
= 21x^(1/2) - 5x^(-1/2)
= 21√x - 5/√x
= 21√x - 5/√x.
Therefore, the first derivative of f(x) is f'(x) = 21√x - 5/√x.
To find the second derivative, we differentiate the first derivative with respect to x. Applying the power rule again, we get:
f''(x) = d/dx [21√x - 5/√x]
= d/dx [21x^(1/2)] - d/dx [5x^(-1/2)]
= 21 * (1/2)x^(1/2 - 1) - 5 * (-1/2)x^(-1/2 - 1)
= 21 * (1/2)x^(-1/2) + 5 * (1/2)x^(-3/2)
= 21/2√x + 5/2x^(3/2).
Therefore, the second derivative of f(x) is f''(x) = 21/2√x + 5/2x^(3/2).
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suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. how many steps would he have to take to make the cut for the top 5% for his distribution?
The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.
The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.
Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. So, the population parameters are:
Mean=μ=10,000
Standard Deviation=σ=1,500
We need to find the number of steps he would have to take to make the cut for the top 5% for his distribution.
Step 1: We need to find out the z-score for the top 5% of the distribution.
We can find out the z-score for the top 5% of the distribution using the standard normal distribution table. The table value of z for 0.05=1.645. Check the attachment.
Step 2: We can use the z-score formula to find out the value of X for the top 5% of the distribution.
z=(X-μ)/σ
Rearranging the above equation, we get:
X=μ+z.σ
X=10,000+1.645×1,500
X=12,031.5
Therefore, It would take him 12,031.5 steps to make the top 5% for his distribution.
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what is the value of the following expression tan (-5pi/6)
The value of the expression tan(-5π/6) can be determined using trigonometric properties and identities.
First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.
The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.
In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.
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I NEED THIS ASAP
4000KG EQUALS TO BLANK EQUALS TO BLANK TONES
4000 kg is equal to 4 metric tonnes or 4.4 short tons.
We need to convert 4000 kg to tonnes.
Identify the units you need to convert:
In this case, you want to convert 4000 kilograms (kg) to tonnes (t).
Determine the conversion factor:
To convert from kilograms to tonnes, you need to know the relationship between the two units.
1 tonne is equal to 1000 kilograms (1 t = 1000 kg).
Apply the conversion factor:
To convert 4000 kg to tonnes, divide the number of kilograms (4000 kg) by the conversion factor (1000 kg/t):
4000 kg ÷ 1000 kg/t = 4 t
Write the final result:
4000 kg is equal to 4 tonnes.
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Yukio has a checking account. On Monday, he writes 3 checks for $65 each. His balance at the end of the day is $330.25. Use an equation with a variable to find Yukio's balance at the start of the day. Show your work.
Answer:
starting balance = $525.25
Explanation:
let the starting balance be b
start balance = 3 checks + final balance
start balance - 3 checks = final balance
Equation:
b -3(65) = $330.25
Solve this:
b -3($65) = $330.25
b - $195 = $330.25
b = $330.25 + $195
b = $525.25
So the starting balance is $525.25
10. Find the measurement of angle A
(look at the picture)
Answer:
m angle = 116
Step-by-step explanation:
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for
the computer?
Answers choices are
A.$40.50
B.$715.50
C. $6.00
D.634.50
Answer:
uhhhh D?
Step-by-step explanation:
In a class of 22 students, 7 are female and 17 have an A in the class. There are 3 students who are male and do not have an A in the class. What is the probability that a student who has an Ais a male?
Answer:
Step-by-step explanation:
total number of students=22
number of female students=7
number of male students=22-7=15
number of male students not having A=3
Number of male students having A=15-3=12
P(male student having A)=12/22=6/11
The probability that a student who has an A is male is approximately 0.632
What is probability?We can use the formula for conditional probability:
P(Male | A) = P(Male and A) / P(A)
We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:
19 - 7 = 12
Therefore, the probability that a student who has an A is male is:
P(Male | A) = 12 / 19
We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):
P(Male | A) = 12 / 19
So the probability that a student who has an A is male is approximately 0.632.
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Towers A and B are located 2.6 miles apart. A cell phone user is 4.8 miles from tower A. A triangle's vertices are labeled tower A, tower B and cell phone user. If x = 80.4, what is the distance between tower B and the cell phone user? Round your answer to the nearest tenth of a mile.
The distance between Tower A and the fire is approximately 4.7592 miles.
To find the distance between Tower A and the fire, we can use the concept of trigonometry and the given information about the angles and distances.
From the information given, we can visualize a triangle formed by Tower A, Tower B, and the fire location. Let's denote the distance between Tower A and the fire as x (the unknown we want to find).
We have two angles given:
Angle AOB = 180° - 42° = 138° (where O is the location of the fire)
Angle BOC = 90° - 64° = 26°
Now, using the law of sines, we can establish the following relationship:
sin(138°) / 10 = sin(26°) / x
To find x, we can rearrange the equation as:
x = (10 * sin(26°)) / sin(138°)
Using a calculator, we can evaluate the trigonometric functions and calculate x:
x ≈ (10 * 0.438371) / 0.921061
x ≈ 4.7592 miles
Therefore, the distance between Tower A and the fire is approximately 4.7592 miles.
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Question
Observation towers A and B are located 10 miles apart. Tower A spots a fire at a location 42° north of cast of its position, while Tower B spots the same fire 64° north of west of its position (see diagram below). Find the distance between Tower A and the fire. 10 miles 64 Tower A Tower B Determine the area of the triangle given by the following measurements: a = 41°, b = 12, C = 17.
Classify the triangle with angles with measures 33°, 90°, and 57° as acute, right, or obtuse.
A. acute
B. right
C. obtuse
Answer:
The answer would be B. Right
Step-by-step explanation:
This is because if one of the angles measures 90 degrees, would be a right triangle I believe. (hope this helps)
A scientist removed a sample of 37.8 grams of a chemical from a containerThe sample was 4(1)/(4) grams less than (1)/(5) of the total mass of the chemical in the container. What was the measure of the total chemical in the container? Show your work.
A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
A. 150
B. 50
C. 175
D. 100
Answer:
A. 150
Step-by-step explanation:
Calculate the probability of landing on an odd number: 1/2.
Multiply the probability by the number of trials: (1/2) * 300.
Simplify the expression: 150.
Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.
What is the value of -9 1/5 - 10 + 2/5 + 2 (14 1/5 - 7)
Answer:
the value of the expression is 9 3/5
the length of a rectangle is 15 cm more than the width. a second rectangle whose perimeter is 72 cm is 5cm wideer but 2cm shorter than the first rectangle. what are the dimensios of each rectangle?
the dimensions of each rectangle is 72.
What is perimeter?In geometry, a shape's perimeter is referred to as its total length. The perimeter of a form is determined by adding up the lengths of all of its sides and edges. Linear measurements like centimeters, meters, inches, and feet are used to indicate its dimensions.
EXPLANATION :
The length of a rectangle is 15 cm more than its width.
L - W = 15
Compared to the first rectangle, which has a circumference of 72 cm, the second is 2 cm smaller and 5 cm wider.
2(L-2) + 2(W+5) = 72
Simplify to get 36 L + W + 3 and 36 L + W, which equals 33 by multiplying L - 2 + W + 5 by 2.
Here, combine the two equations and apply elimination.
L - W = 15 \sL + W = 33
Using the initial length, L 2L = 48 L = 24 cm, we may find W = 24 - 15 W = 9 cm, so removing W. Second rectangle width: initial width 24 - 2 = 22 cm; second rectangle length: 9 + 5 = 14 cm.
Calculate the second rectangle's perimeter using the following equation: 2(22) + 2(14) = 44 + 28 = 72
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PLEASE HELPPP
AKA JASMINE IS THE BEST PUR
will give brainliest
Answer:
45/2
Step-by-step explanation:
ashjasdhkjasdha hello there
There are two people and there are 45 minutes to shoot the ball. As both people shoot for the exact same time, you have to divide 45 by 2 to split the time into two equal halves. Thus, the answer is 45 divided by 2, or just 45/2.
I need this solved! FAST! thank you
Answer:
188.24 (rounded)--- 188.2
Step-by-step explanation:
You want to first find the area of all the the different shapes you have...
you have 2 semicircles A= πr²/2 (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)
you have a rectangle A= b*h
you have a triangle A = b*h/2
Semicircles: A= πr² = (3.14) 4² = (3.14*16) = 50.24
rectangle: A = b*h = 12*8 = 96
Triangle: A = b*h/2 = 12 * 7/2 = 84/2 = 42
then you add them up
50.24 + 96 + 42
= 188.24