Find the perimeter of an ellipse if the major axis is 30mm and the minor axis is 12mm. round off your answer to the nearest whole number
Answers
The perimeter of an ellipse can be approximated by the formula:
\(p=2\pi\sqrt[]{\frac{a^2+b^2}{2}}\)If the major axis is 30 mm and the minor axis is 12 mm, we have a = 15 and b = 6, so the perimeter is:
\(\begin{gathered} p=2\pi\sqrt[]{\frac{15^2+6^2}{2}} \\ p=2\pi\sqrt[]{\frac{225+36}{2}} \\ p=2\pi\sqrt[]{130.5} \\ p=6.28\cdot11.42 \\ p=71.72 \end{gathered}\)Rounding to the nearest whole number, we have p = 72 mm.
Related Questions
What is the length of C D
Answers
Answer:
We need more info to solve this problem.
Step-by-step explanation:
Melissa lives on a street with 1 yellow house, 3 blue
houses, 8 white houses and 9 brown houses. What is the
probability that Melissa's house is blue?
Answers
Answer:
3/21 14%
Step-by-step explanation:
there are 21 houses and 3 are blue
can someone help me with this pls?
Answers
Scale factor = 1/2.
So, each co ordinate should be divided by 2
( -2/2 , -5/2) = (-1,-2.5)
Then this is reflected over y-axis.
When reflected by y axis, there will be no change in y coordinate but sign of x will change. After reflection (-x, y)
A’(1,-2.5)
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Answers
419 + x = 580
x = 161
She must get at least 161 to have an average of 161
Suppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 14 ounces and standard deviation equal to 0.56 ounces.
Answers
Answer:
2
Step-by-step explanation:
Need help ASAP, will give brainliest if answer is correct!
What is the area of this polygon?
Answers
Answer:
area of polygon is 39 square units
Step-by-step explanation:
you can separate this polygon into two separate figures:
rectangle RVED
triangle RMV
area of RVED = 5 x 6 or 30 units
area of RMV = 1/2(6) x 3 or 9 units
combined area of whole polygon is 39 square units
Answer:
39 square units
Step-by-step explanation:
Section the polygon into a triangle RMV and a rectangle EDRV.
Area of a rectangle EDRV = width x height
⇒ area = 5 x 6 = 30 square units
Area of a triangle RMV = 1/2 x base x height
⇒ area = 1/2 x 6 x 3 = 9 square units
Total area = 30 + 9 = 39 square units
jeff volunteers his time by working at an animal shelter. each year he works for total of 240 hours. so far this year, he has worked 97 hours . which equation will solve for how many more hours (h) jeff will volunteer for?
Answers
Answer:
h=240-97
Step-by-step explanation:
A $9860 investment earns interest at
2.7% per year
compounded monthly
over 6 years. Use the compound
interest formula to calculate the value
of this investment to the nearest cent.
Answers
Answer: Final Balance is $11,591.87 and the total compound interest is $1,731.87.
Step-by-step explanation:
Total Compound Interest: $1,731.87
c) Evaluate: 3√11x√2
Answers
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
if the x is inside the square root
Use the expressions to find the area and perimeter of a rectangle with a length of 30 and a width of 75
Answers
Answer:
Area: 2250
Perimeter: 210
Step-by-step explanation:
Plz mark as brainliest!!!
Area of a rectangle = l x b
= 30 x 75
= 2250
Permeter of a rectangle = 2 (l + b)
= 2 x (30 + 75)
= 2 x 105
= 210
Hope this helped :)
PLS I REALLY NEED HELP! what is the range of graph!
Answers
how many fifths are there in 8 3/5?
Answers
Answer:
43 becuase 8 3/5 times 5
Step-by-step explanation:
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answers
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold
If I give my sister 5 dollars, then we will have the same amount of money. If instead she gives me 8 dollars, then I'll have twice as much money as she has. How much money does she
have?
I understand this with two variables but how would you solve this with one variable?
Answers
Answer:
h32hbhfbbhhbf
Step-by-step explanation:
dqbdn jjf that thy
can someone help plsss ??
Answers
Using congruent angles theorem, we can find that the angles that are adjacent to ∠LSP are ∠4 and ∠6.
What are congruent angles?Angles with an equal measure are considered congruent angles. They appear everywhere, including in isosceles and equilateral triangles, as well as when a transversal connects two parallel lines.
The term "adjacent angles" refers to angles that do not overlap but share a common arm (side). When two rays intersect at a shared endpoint, an angle is created. Angles that are always located next to one another are called neighbouring angles. Two neighbouring angles are referred to as a linear pair of angles when their sum is 180 degrees.
Now, according to the question,
The angles that are adjacent to ∠LSP must share a common vertex and a common arm.
Now, the common arm between ∠4 and ∠LSP is line LM.
The common arm between ∠6 and ∠LSP is line NP.
And all have a common vertex.
Hence, the angles that are adjacent to ∠LSP are ∠4 and ∠6.
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What is the first step to solve 2 (x - 2)< (1 + 2) + 5
Answers
Answer:
The first step would be to distribute the 2 outside of the parenthesis
Then the left side of the equation would look like: 2x-4
Step-by-step explanation:
9514 1404 393
Answer:
add 1+2
Step-by-step explanation:
According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...
(1 +2) = 3
Then the inequality becomes ...
2(x -2) < 3 +5
Match the graph with the related table
Answers
Which points sre vertices of the pre-image, rectangle ABCD?Makes no sense
Answers
Given rectangle A'B'C'D', you know that it was obtained after translating rectangle ABCD using this rule:
\(T_{-4,3}(x,y)\)That indicates that each point of rectangle ABCD was translating 4 units to the left and 3 units up, in order to obtain rectangle A'B'C'D'.
Notice that the coordinates of the vertices of rectangle A'B'C'D' are:
\(\begin{gathered} A^{\prime}(-5,4) \\ B^{\prime}(3,4) \\ C^{\prime}(3,1) \\ D^{\prime}(-5,1) \end{gathered}\)Therefore, in order to find the coordinates of ABCD, you can add 4 units to the x-coordinate of each point and subtract 3 units to each y-coordinate of each point. You get:
\(\begin{gathered} A=(-5+4,4-3)=(-1,1) \\ B=^(3+4,4-3)=(7,1) \\ C=(3+4,1-3)=(7,-2) \\ D=(-5+4,1-3)=(-1,-2) \end{gathered}\)Hence, the answers are:
- First option.
- Second option.
- Fourth option.
- Fifth option.
Need help placing in correct spot
Answers
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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11. Which of the following are not meaningful?
(b) XXXI
(a) VXXIX
(C) XLIV
12. Write 'Divide the difference of 91 and 7 by 6' using brackets and solve.
(d) CXCLXV
Answers
The answer to question 12 is [(91 - 7) ÷ 6] = 14.
Write an inequality that represents the statement “x is at most –5 or at least 7.”
Answers
Answer:
x ≤ - 5 or x ≥ 7
or, in interval notation
[ - ∞, -5] ∪ [7, ∞]
Step-by-step explanation:
From the question we get the following two inequalities
x is at most -5 ==> x ≤ -5
x is at least 7 ==> x ≥ 7 which can be rewritten as 7 ≤ x
This can be written as
x ≤ - 5 or x ≥ 7
In interval notation this would be
[ - ∞, -5] ∪ [7, ∞]
On the number line this would be represented as shown in the figure
Need Help Asap Please
Answers
Answer:
corporation C owns the most land
Step-by-step explanation:
hope it helps
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park.
What is the best way to randomly choose these 500 people?
Answers
The method that can be used to randomly choose these 500 people is the use of systematic random sampling.
What is random sampling?Random sampling is defined as the method of sampling in which the whole sampling frame is being considered.
In order the survey a community of people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park, both the male and female should be considered.
The systematic random sampling will give the both male and female equal opportunity to the chosen.
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SOMEBODY PLEASE JUST HELP ME I DON'T KNOW
Answers
Answer:
Step-by-step explanation:
B is at (-3,-2) Multiply by 3: (-9,-6)
O is at (2,-1) Multiply by 3: (6,-3)
T is at (-3,3) Multiply by 3: (-9,9)
Hope this helps!!
what is 5.3 x 5.3 x 5.3 x5.3 as a power?
Answers
The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.which means
To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.
So, the expression can be rewritten as 5.3 raised to the power of 4, or \({(5.3)}^4\).
The formula for expressing a number multiplied by itself n times as a power is: \(a^n\)
In this case, a is 5.3 and n is 4.
To evaluate the expression, we can simply multiply 5.3 by itself four times:
5.3 x 5.3 x 5.3 x 5.3 = 6241.03
Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as \({(5.3)}^4\), which is equal to 6241.03.
In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.
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what is the answer pls Question 29 of 45
In the triangle below, what is the length of MN?
OA. 50
OB. 100
OC. 20
OD. 40
50
20
M
50
Answers
The calculated length of the segment MN in the triangle is 20
How to find the length of the segment MN in the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The third angle in the triangle is calculated as
Third angle = 180 - 50 - 50
Evaluate
Third angle = 80
The length of the segment MN is then calculated as
MN/sin(50) = 20/sin(50)
This gives
MN = sin(50) * 20/sin(50)
Evaluate
MN = 20
Hence, the length of the segment MN in the triangle is 20
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The equation a = 640 s gives the relationship between s square miles and a acres. Pam owns 4.5 square miles of farmland. How many acres does she own? a. 2,880 acres b. 288 acres c. 0.7 acres d. 7.03 acres
Answers
Answer:
A. 2880 acres
Step-by-step explanation:
Formula: a = 640 s
Given information: s = 4.5
--> a = 640 x 4.5 = 2880 (acres)
Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
a. Number of students in a class of 35 who turn in a term paper before the due date.
b. Gender of the next baby born at a particular hospital.
c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop.
d. Thickness of the gelatin coating of a vitamin E capsule
e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major
Answers
Answer:
a. Numerical (discrete).
b. Categorical.
c. Numerical (continuous).
d. Numerical (continuous).
e. Categorical.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
a. Number of students in a class of 35 who turn in a term paper before the due date: this is a numerical data and it is discrete in nature because the number of possible values are finite or countable.
b. Gender of the next baby born at a particular hospital: this is a categorical data because it contains a nominal variable (gender).
c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.
d. Thickness of the gelatin coating of a vitamin E capsule: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.
e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major: this is a categorical data because it is used to categorize an information (birth order).
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
Answers
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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Please answer this correctly
Without making mistakes I want genius or expert people to answer this question
Answers
Answer:
6
24/4=6
formula is length + length + width + width
6+6+6+6 = 24
\\Hope this helps
Step-by-step explanation:
Answer:
6cm and 6cm
Step-by-step explanation:24cm is perimeter and 4 sides so, 24/4 = 6