Answers
The value of the equation of the ellipse is (x + 1)² + (y + 1)² = 9, the center of the ellipse is at (-1, -1), thus graph B is correct.
What makes this ellipse eccentric?E = c/a, where c is the distance from the ellipse's centre to either focus and an is the distance from the ellipse's centre to either end of the main axis, is the formula for an ellipse's eccentricity.
The distance between the foci is 2a = 6, where an is the separation between any focus and the elliptic centre.
The middle of the ellipse is at the midway of the foci since they are both on the same horizontal line, which is (-1, -1).
The main axis measures 18 inches, or 2b, where b is the distance between the ellipse's center and either end of the major axis.
Inputting the values we are familiar with yields:
b² + (c = 3)² = a²
b² + 9 = 9
b^2 = 0
So b = 0, which means the ellipse is a circle with radius a = 3 centered at (-1, -1). The equation for a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
Substituting the values we know, we get:
(x + 1)² + (y + 1)² = 9
Hence, the value of the equation of the ellipse is (x + 1)² + (y + 1)² = 9, the center of the ellipse is at (-1, -1), thus graph B is correct.
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Related Questions
3) What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
a. (x, y) --> (x-1, y-6)
b. (x, y) --> (x+1, y-3)
c. (x, y) --> (x+9, y+6)
d. (x, y) --> (x+1, y+6)
Answers
The (x, y) is translated tο (x-1, y-6).
What is dilatiοn?Resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.
The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.
the cοmpοsitiοn οf
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)
(x, y) --> (x-5, y-5)
(x+4-5, y-1-5) = (x-1, y-6)
Therefοre, the cοmpοsitiοn οf (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5) is (x, y) --> (x-1, y-6).
In οther wοrds, the translatiοn rule fοr the cοmpοsitiοn is:
Hence, The (x, y) is translated tο (x-1, y-6).
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Answer:
(x, y) --> (x-1, y-6)
Step-by-step explanation:
This question: 1 point(s) possible
The access code for a car's security system consists of four digits. The first digit cannot be 4 and the last digit must be odd. How many different codes are available?
The number of different codes available is
Answers
Answer: 4500
Step-by-step explanation:
1st 0, 1, 2, 3 ,5 ,6 ,7 ,8 ,9
2nd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9
3rd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9
4th 1, 3, 5, 7, 9
9 x 10x 10 x 5= 4500
Mark bike 4⁄10 mile in 1⁄5 of an hour find mark's average speed in mph
Answers
The average speed in mph is 2 mph
What is Average Speed?Average Speed is the total distance that something has traveled by the total amount of time it took it to travel that distance. It is also the total distance traveled by the moving object and the amount of total time the object spent moving.
Average speed = Distance traveled/Time taken
Where Distance traveled = 4/10 mile
Time taken = 1/5 of an hour
To get the average speed in mph,
Average speed = (4/10)/(1`/5)
Average speed = 4/10 * 5/1
Average speed = 20/10
Average speed = 2 mph
Therefore, the average speed is 2mph
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Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
b + 12r
Answers
Answer:
Parts of the expression:
b: a variable representing a quantity that can vary or change.
12: a constant representing a fixed value.
r: a variable representing a quantity that can vary or change.
Word expression:
"Add twelve times the quantity of r to b."
Step-by-step explanation:
Write a word phrase that represents the expression
Answers
Answer:
Where is the expression bro
A photo is being resized to sell at a gallery. The original photos 4 inches by 6 inches. Using the dimensions of 2.5 in. by 3.75 in., find the
scale factor.
Answers
Answer:basically if 23x45 is 35 then u times that to 15 and theres ur asnwer
23x45=35
Use the variable c to represent Chau's height.
Answers
[tex]\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right][/tex]
Step-by-step explanation & Answer
In order to find chau’s height we would only need to subtract:
40 - 24 = ?
? = 16
But it determines what you are putting it in as well.
You can put it in, feet, meters, or inches.
So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )
Thus the answer to your problem is, 16
Let 0°
Given: tan a =2.4
Find: sin a and cos a
Answers
Answer:
sin α = 12/13;cos α = 5/13.-------------------------
Since angle α is between 0° and 90°, it is in the first quadrant and therefore all sin α, cos α and tan α are positive numbers.
Use the following identities:
tan α = sin α / cos α;sin² α + cos² α = 1.Given tan α = 2.4. Using identities, find cosine as follows:
sin α / cos α = 2.4sin α = 2.4 cos αcos² α = 1 - sin² αcos² α = 1 - (2.4 cos² α)²cos² α = 1 - 5.76 cos² αcos² α + 5.76 cos² α = 16.76 cos² α = 12.6 cos α = 1cos α = 1/2.6cos α = 10/26 cos α = 5/13Find sine:
sin² α = 1 - cos² αsin² α = 1 - (5/13)²sin² α = 1 - 25/169sin² α = 144/169sin α = 12/13If a 2i j 8k and b i 3 j 4k
, then the magnitude of a b
Answers
Answer:
Step-by-step explanation:
To find the magnitude of the cross product of vectors a and b, we can use the formula:
|a x b| = |a| |b| sin(θ)
where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
First, let's calculate the cross product of vectors a and b:
a x b = (2i + j + 8k) x (i + 3j + 4k)
= (j)(4k) - (8k)(3j) - (i)(4k) - (j)(2i) + (8k)(i) - (2i)(i + 3j)
= -10i - 20j - 20k
Next, let's find the magnitudes of vectors a and b:
|a| = √(2^2 + 1^2 + 8^2) = √(69)
|b| = √(1^2 + 3^2 + 4^2) = √(26)
Finally, we need to find the angle θ between vectors a and b. We can use the dot product to find cos(θ):
a · b = (2i)(i) + (1j)(3j) + (8k)(4k) = 2 + 3 + 32 = 37
|a| |b| cos(θ) = a · b
cos(θ) = a · b / (|a| |b|)
cos(θ) = 37 / (√(69) √(26))
cos(θ) ≈ 0.893
Using the fact that sin^2(θ) + cos^2(θ) = 1, we can solve for sin(θ):
sin(θ) = √(1 - cos^2(θ))
sin(θ) ≈ 0.449
Substituting the values we found into the formula for the magnitude of the cross product, we get:
|a x b| = |a| |b| sin(θ)
|a x b| = √(69) √(26) (0.449)
|a x b| ≈ 26.81
Therefore, the magnitude of the cross product of vectors a and b is approximately 26.81.
Describe the set of values that is greater than the quadratic function with zeros –5 and –13 and include the
point (–9, –32).
y>2(x+5)(x+13)
y>2(x−5)(x−13)
y≥- 8\77 (x+5)(x+13)
y≥- 8\77(x−5)(x−13)
Answers
The set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)
Define the term quadratic function?A quadratic function is a type of function in mathematics that can be represented by a quadratic equation, which is a polynomial equation of the second degree. It is an equation, for example, y = ax2 + bx + c, where a, b, and c are constants and x is the variable, that involves a variable raised to the power of two.
The factored form of the quadratic function with zeros -5 and -13 is as follows:
f(x) = a(x + 5)(x + 13)
where a is a constant.
Substituting the given point (-9, -32) into the quadratic function, we get:
-32 = a(-9 + 5)(-9 + 13)
-32 = -16a
a = 2
So, the quadratic function in factored form is:
f(x) = 2(x + 5)(x + 13)
we need to find the range of values that satisfy this inequality:
y > a(x + 5)(x + 13)
Therefore, the set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)
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what is the procedure, I need it for TODAY before 12pm
Answers
It is also important to communicate effectively with any individuals involved in the procedure to ensure that everyone is on the same page and working towards the same goal.
The procedure can refer to a variety of things depending on the context. If you are referring to a medical procedure, it is important to first consult with a healthcare professional to determine the specific procedure that is needed.
If you are referring to a legal or administrative procedure, it is important to review the guidelines and protocols set forth by the governing body or organization.
In general, the procedure typically involves a set of steps or instructions that must be followed in order to achieve a specific outcome. These steps may include gathering information, completing forms, submitting documents, or performing specific tasks.
It is important to carefully follow each step of the procedure to ensure that the desired outcome is achieved.
If you need a procedure completed by 12pm today, it is important to prioritize your tasks and ensure that you have all necessary resources and information available. Depending on the specific procedure, you may need to work quickly and efficiently in order to meet the deadline.
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A dolphin is 30 feet below the surface of the water. She rises 23 feet and then rises another 7 feet. If there are no changes, where is the dolphin now?
Answers
Answer:
1. Start with the dolphin’s initial position, which is -30 feet below the surface of the water. We can use a negative sign to indicate that the dolphin is below the surface.
2. Add 23 feet to the dolphin’s position to represent her first rise. This gives us -30 + 23 = -7 feet. The dolphin is now 7 feet below the surface of the water.
3. Add another 7 feet to the dolphin’s position to represent her second rise. This gives us -7 + 7 = 0 feet. The dolphin is now at the surface of the water.
Therefore, the answer is that the dolphin is now at the surface of the water.
At which points on the graph of the inverse of f(x)=1/(x^2+1) + (1-2x)^(1/3), x>=0 the tangents to f(x) and its inverse are perpendicular?
Answers
The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
[tex]y = f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\y - 1/(x^2+1) = (1-2x)^(1/3)\\(y - 1/(x^2+1))\\y^3 = 1-2x\\x = (1 - (y - 1/(x^2+1))^3)/2\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\[/tex]
[tex]f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\f'(x) = -2x/(x^2+1)^2 - (1-2x)^(-2/3)/3\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\g'(y) = -3(y - 1/(x^2+1))^2/(2(x^2+1)^2)\\-2x/(x^2+1)^2 - (1-2x)^(-2/3)/3 * -3(y - 1/(x^2+1))\\x^2/(2(x^2+1)^2) = -1\\2x/(x^2+1)^2 = 1/((1-2x)^(2/3)(y - 1/(x^2+1))^2)\\4x^2 = (x^2+1)\\x^2 / ((1-2x)^(4/3)(y - 1/(x^2+1))^2)\\(x^2-2x+1)(x^2+2x+1)\\(y - 1/(x^2+1))^2 = 16x^2(1-2x)^(4/3)\\x = 0.3807 or x = 0.6677\\y = 1.9337 or y = 0.6129\\[/tex]
The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).
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Help with math problems
Answers
Answer:
70
Step-by-step explanation:
Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image?
(7, -3)
(11, -3)
(7, 3)
(-7, 7)
Answers
The image after the reflection over the line x = 2 is (11, -3)
What will be the coordinates after the reflection?Here we have the point T which has coordinates (-7, -3), and we apply a refletion across the line x = 2.
This reflection will only chane the value of x in our point, such that the initial value x = -7
Is at the same distance of the line x = 2 than the final x-value
The distance between these values is:
d = |-7 - 2| = 9
Then the new x-value will be:
x = 2 + 9 = 11
Thus, the image after the reflection is (11, -3)
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5x[tex]11ab^{2}(2a^5b^4)[/tex]
Answers
Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .
what is expression ?A mathematical expression seems to be a combination of digits, symbols, and operators (like +, -,, and ) that denotes a relation or quantity. A single figure or variable can constitute an expression, as can a collection of several numbers, constants, and operators. It is possible to depict mathematical connections, functions, and processes using expressions. There are various categories into which expressions can be divided, including numerical, algebraic, polynomial, rational, and exponential expressions. These can be assessed by carrying out the relevant operations in the mathematical operation order, i.e., parentheses operations first, multiplication or division second, addition or subtraction third.
given
[tex]5x11ab^2(2a^5b^4)[/tex]
We may multiply 5x11 using the distributive property, and then multiply the variables using exponentiation rules to simplify the formula
[tex]5x11ab^2(2a^5b^4):[/tex]
[tex]55ab^2(2a^5b^4)[/tex] is equal to [tex]5x11ab^2(2a^5b^4)[/tex]
= [tex]110a^(1+5)b^(2+4)[/tex] (using the product rule of exponents)
= [tex]110a^6b^6[/tex]
Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .
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K
Use the information shown on the auger shell. What is the value of x?
8.8 mm
11 mm
20 mm
Answers
Using the information shown on the auger shell. The value of x is found as 16.
Explain about the proportion of the numbers?Fractions and ratios can both be stated as reciprocals of one another. Similar rules apply to proportions, which are just the equivalence of two ratios.
Fractions and ratios both convey the relationship between two different quantities.A percentage is an algebraic assessment of two numbers.According to proportion, two sets of provided numbers are referred to as directly proportional to one another if they increase or decrease in the same ratio. A proportion is actually an equation that equalizes two ratios. One boy and 3 girls, for example, might just be defined by a ratio of 1: 3.For the given values in question:
8.8 mm
11 mm
20 mm
Value of x.
Using proportion of the numbers:
8.8 / 11 = x / 20
x = 8.8*20 / 11
x = 16
Thus, using the information shown on the auger shell. The value of x is found as 16.
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i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddd help
Answers
Answer:
divide the numbers and you'll get 1×10^5
Julie printed out a picture of each of the six members of her favorite band to decorate her bedroom door. Each picture measures 5 inches by 7 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answers
On Julie's door, the images will span 210 square inches.
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
What is an inch?Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.
The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.
From the question:
Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.
One image's area is as follows:
5 inches x 7 inches = 35 square inches
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
Consequently, 210 square inches of Julie's door will be covered by the images.
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The 12 students in the Environmental Club represent 2% of the students in the seventh grade. How many students are in the seventh grade?
Answers
Hence, in response to the provided question, we can say that Therefore equation there are 600 pupils in the seventh grade.
What is equation?An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.
Let's call the total number of pupils in the seventh grade "x".
We know that the 12 students in the Environmental Club account for 2% of the seventh-grade students, which means:
12 = 0.02x
To find x, we must isolate it on one side of the equation. This can be accomplished by dividing both sides by 0.02:
12 ÷ 0.02 = x
This boils down to:
600 = x
Therefore there are 600 pupils in the seventh grade.
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A baker makes 8 apple pies. Each apple pie weighs 6 ounces.
How many total pounds of apple pies does the baker make?
Responses?
Answers
Answer:
6
Step-by-step explanation:
16 Ounces in a pound
6x8=48
48/8=6
Answer:
3 pounds
Step-by-step explanation:
total pie = 8
weight of 1 pie = 6 ounces
weight of 8 pie = 6 ounces × 8
= 48 ounces
ounce into pound
1 ounce =0.0625 (divide ounces by 16)
48 ounces ÷ 16
=3 pounds
the baker made 3 pounds od apple pie
Choose the best answer. ________Functions have a constant rate of change and when graphed form a straight line. _______functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape"
Answers
Best answer for the statement are Linear, Nonlinear.
Define Linear functionsA linear function is a type of mathematical function that has the following form:
f(x) = mx + b
where "m" and "b" are constants. "m" represents the slope of the line, or the rate at which the function changes .
Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".
Therefore, the best answer to complete the sentence is:
Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".
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PLEASE HELP FAST!
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a a number less than 4
Event B: The marble selected has an even number
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Answers
Answer:
Look explain
Step-by-step explanation:
Give the following outcomes for each of the events with a set of 1,2,3,4,5,6,7,8:
Event A: The number can be 1,2,3 because it has to be less than 4
Event B: The number can be 2,4,6,8 because those are the only even numbers
Both Event A&B: The marble must be even and between 1,2,3 so only 2 is correct and must be marble #2
I hope this helps :)
if 24 x 18 and (x-1)are in proportion find the value of x
Answers
Answer:
Step-by-step explanation:
If 24, x and 18 are in proportion, then we have:
24 : x = x : 18
This can be rewritten as:
x^2 = 24 x 18
x^2 = 432
Taking the square root of both sides, we get:
x = ± 20.7846
However, we also know that (x - 1) is in proportion with 24 and 18. Therefore:
24 : (x - 1) = (x - 1) : 18
This can be rewritten as:
(x - 1)^2 = 24 x 18
(x - 1)^2 = 432
Taking the square root of both sides, we get:
x - 1 = ± 20.7846
Solving for x in each case, we get:
x = 21.7846 or x = -19.7846
However, we can see that the value x = -19.7846 does not make sense in the context of the problem (since we cannot have a negative value for the number of something). Therefore, we can reject it as an extraneous solution.
Hence, the value of x is:
x = 21.7846
Answer: 21.7846
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST
Answers
Answer: It looks like it could be III I'm not sure thought I hope it was right
Step-by-step explanation:
Find an equation of the ellipse that has center (-1,-5) , a minor axis of length 2, and a vertex at (5,-5).
Answers
According to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]
What is equations ?An equation is a mathematical statement that shows the equality between two expressions. In other words, it is a way to describe a relationship between two or more variables or quantities.
According to given information :The center of the ellipse is (-1,-5), which means that the center of the ellipse is shifted from the origin. We can find the equation of the ellipse using the standard form equation:
[tex]$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$[/tex]
where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.
Since the minor axis has length 2, we know that b=1. We also know that the vertex on the minor axis is (5,-5), which means that the semi-major axis has length 5. Therefore, a=5.
Substituting these values into the standard form equation, we get:
Simplifying, we get:
[tex]$\frac{(x+1)^2}{25}+(y+5)^2=1$[/tex]
Therefore, according to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]
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←
A group of winning ticket holders share equally in a $90,000,000 lottery. Before
the money is divided, three more winning ticket holders are declared. As a
result, each person's share is reduced by $1,000,000. How many people were
in the original group of winners?
Answers
We take the positive root:
n = (-3 + 27) / 2 = 12. Therefore, there were 12 people in the original group of winners.
How to solve the equation?Let's assume that there were n people in the original group of winners, and each person's share was x dollars. Then we know that:
n * x = $90,000,000
After three more winners are declared, the total number of winners becomes n + 3. Each person's share is then reduced by $1,000,000, so the new share per person is (x - $1,000,000). We can then write:
(n + 3) * (x - $1,000,000) = $90,000,000
Expanding the equation, we get:
nx - $1,000,000n + 3x - $3,000,000 = $90,000,000
Simplifying, we get:
nx + 3x = $1,000,000n + $93,000,000
Factoring out x and n, we get:
x(n + 3) = $1,000,000(n + 3) + $90,000,000
Dividing both sides by (n + 3), we get:
x = $1,000,000 + ($90,000,000 / (n + 3))
We can substitute this expression for x in the first equation:
n * ($1,000,000 + ($90,000,000 / (n + 3))) = $90,000,000
Expanding and simplifying, we get:
[tex]$n^2$[/tex]+ 3n - 270 = 0
Using the quadratic formula, we get:
n = [tex](-3\± \sqrt{(729)) / 2[/tex]
n = (-3 ± 27) / 2
Since n has to be positive, we take the positive root:
n = (-3 + 27) / 2 = 12
Therefore, there were 12 people in the original group of winners.
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imhotep the architect wants to paint the great pyramid of giza
Answers
Imhotep can pain the pyramid in 256 different ways, and his assistant can make 64 different models of the pyramid, as explained below.
How to pain the pyramid:There are 4 sides to paint, and each side can be painted with one of 4 colors. So the total number of different ways Imhotep can paint the Great Pyramid is:
4 x 4 x 4 x 4 = 256
Therefore, Imhotep can paint the Great Pyramid in 256 different ways. However, as pointed out, many of these ways are just rotations of each other. Specifically, there are 4 different rotations for each way of painting the pyramid. Therefore, the number of distinct models can be seen below:
256 / 4 = 64
Therefore, Imhotep's assistant only needs to make 64 different models.
The complete question is the following:
Imhotep the architect wants to paint the Great Pyramid. He wants one red side, one blue side, one green side and one yellow side. How many different ways can he paint it?His assistant is tasked with making models to show the possibilities. He realises he can make far fewer models as they can be turned around. How many different models does he need to make?Learn more about pyramids here:
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13 The diagram shows a wall. 2.8 m The area of the wall is 39.2 m² Work out the length of the wall. N length 2.1 m Not drawn accurately [3 marks]
Answers
After answering the presented question, we can conclude that As a rectangle result, the wall's length is approximately 18.67 metres.
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It can also be described as a fundamental rule hexagon or one in which all of the angles are equal. Another option for the parallelogram is a straight angle. Four of the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
To begin, we can use the formula for the area of a rectangle, which is:
length x width Equals area
We know the wall's area is 39.2 m2, and we want to know how long it is. We are also given the wall's breadth, which is 2.1 m.
As a result, we can rearrange the formula to find the length:
width = Area length
length = 39.2 2.1 cm
a length of 18.67
As a result, the wall's length is approximately 18.67 metres.
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A sum of money is shared such that Mark gets twice as much as Sofia and Tina gets ½ of Sofia's share. Express these amounts in the form of a proportion. If Tina receives $1 200, how much do Mark and Sofia each receive?
Answers
Answer:
Step-by-step explanation:
Answer:
Mark gets $4800
Sofia gets $2400
Step-by-step explanation:
Let M, S and T represent the amounts that Mark, Sofia and Tina get respectively
We have the following
M = 2S
S = M/2
T = S/2 = M/2 ÷ 2 = M/4
Therefore the ratio of M : S; T can be expressed in terms of M as
M : M/2 : M/4
Multiplying throughout by 4 gives
4M : 2M : M
Removing the common M the proportion is
4 : 2 : 1
If T = 1200 then from T = S/2, s = 2T = 2 x 1200 = 2400
Since M = 2S, M = 2 x 2400 = 4800
So
Mark gets $4800
Sofia gets $2400
The ratio of the amounts obtained
4800: 2400: 1200
Dividing by 1200 gives us
4800/1200: 2400/1200: 1200/1200
= 4 : 2 : 1