Answer correctly for brainliest and also get a thanks ! Don't answer if you don't know it please !
Answers
First, you have to find the area of the rectangle. I guess, just now,
that means the one who has to do that is me.
We know that it's a rectangle, because they told us so.
The corners are located at
(1, 4)
(4, 7)
(8, 3)
and
(5, 0).
Do you remember how to find the distance between 2 points ?
Distance = √ (difference-in-'x' ² + difference-in-'y' ²)
The distance between the first 2 points is √(3² + 3²) = √18
The distance between point-2 and point-3 is √(4² + 4²) = √32
The distance between point-3 and point-4 is √(3² + 3²) = √18
The distance between point-4 and point-1 is √(4² + 4²) = √32 .
Notice that it wasn't really necessary to find all four distances.
As soon as I found the first two distances, I knew that one is the length
of the rectangle and the other one is the width of the rectangle, so I didn't
have to bother finding the other two, because I knew that they would be
the same as the first two. I just did it anyway, to make SURE that they
were the same. That helped me be sure that I didn't make any mistakes.
So here we are, outstanding in our field. (Actually, in Ms. Stone's field.)
We have a rectangle with a length of √32 units and a width of √18 units.
The area of any rectangle is (length) · (width)
= (√32 units) · (√18 units)
= √(32 · 18) units²
= √ (576) units²
= 24 units² .
We also know that each square unit on the map indicates 16 acres.
So the actual area of the field is
(24 units²) · (16 acres/unit²) = 384 acres .
Ms. Stone sold the field for $858,240 .
The unit sale price was
($858,240) / (384 acres) = $2,235 / acre .
Ms. Stone can now move into the city and live the life of a rich lady.
Related Questions
Find the correct prime factorization of 28/98, and then reduce the fraction to lowest terms. ...?
Answers
To reduce the fraction 28/98 to lowest terms, we prime factorize each number, cancel out the common factors, and simplify. The fraction 28/98 simplifies to 1/7.
The correct prime factorization of 28 is 2×2×7 (or 2²×7), and for 98 it's 2×7×7 (or 2×7²). To reduce the fraction 28/98 to lowest terms, we can remove the common factors in the numerator and the denominator.
Since both numerator and denominator have a 2 and a 7, we can replace them with '1'. After simplifying, the remaining factors in the numerator are 1 and the remaining factors in the denominator are 7. Therefore, 28/98 reduced to lowest terms is 1/7.
What is the probability of getting 3 tails when tossing a coin 4 times?
Answers
The probability of getting 3 tails, when tossing a coin 4 times is 25%
To find the probability of getting 3 tails when tossing a coin 4 times, we can use the binomial probability formula:
[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1 - p)^{n - k} \][/tex]
Where:
- P(X = k) is the probability of getting exactly k successes (in this case, 3 tails).
- n is the number of trials (coin tosses).
- k is the number of successes we are interested in (in this case, 3 tails).
- p is the probability of success on each trial (in this case, the probability of getting tails).
- [tex]\( (1 - p) \)[/tex] is the probability of failure on each trial (in this case, the probability of getting heads).
Since the coin is fair, the probability of getting tails p is [tex]\( \frac{1}{2} \)[/tex], and the probability of getting heads [tex](\( 1 - p \))[/tex] is also [tex]\( \frac{1}{2} \)[/tex].
Substituting these values into the formula:
[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(1 - \frac{1}{2}\right)^{4 - 3} \][/tex]
[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(\frac{1}{2}\right)^1 \][/tex]
[tex]\[ P(X = 3) = 4 \times \left(\frac{1}{8}\right) \times \left(\frac{1}{2}\right) \][/tex]
[tex]\[ P(X = 3) = \frac{4}{16} \][/tex]
[tex]\[ P(X = 3) = \frac{1}{4} \][/tex]
To express the probability as a percentage, we multiply by 100:
[tex]\[ P(X = 3) = \frac{1}{4} \times 100\% = 25\% \][/tex]
Therefore, the probability of getting 3 tails when tossing a coin 4 times is 25%.
Rock musician Donny West is paid 15% on his CD sales and tour video sales. Last year, he sold one million CDs and $550000 videos. The CDs were sold to the music store for $5 each. The videos were sold to the music store for $6 each.
a.) What was the total amount of CD sales?
b.) What was the total amount of video sales?
c.) What was the combined total of CD and video sales?
d.) How much did he receive in royalties last year?
Answers
B. 91,667
C.$5,550,000
D. $832,500
three apples and two bananas cost 2.00. four apples and four bananas cost 3.00. what is the cost of one apple?
HELP PLS
a)1
b)0.75
c)0.50
d)0.25
Answers
The cost of one apple is 0.5, option C is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let A represents cost of one apple and B represents cost of one banana
Three apples and two bananas cost 2.00
3A+2B=2...(1)
Four apples and four bananas cost 3.00.
4A+4B=3..(2)
Let us multiply equation 1 with 2
6A+4B=4...(3)
Subtract equation 3 from 2
4A+4B-6A-4B=3-4
-2A=-1
A=1/2
A=0.5
Hence, the cost of one apple is 0.5, option C is correct.
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a, 2a, 4a, 8a
If a < 0, which of the four numbers above is the greatest?
A. a
B. 2a
C. 4a
D. 8a
E. It cannot be determined from the information given.
Answers
Celeste is making fruit baskets for her service club to take to a local hospital. the directions say to fill the boxes using 5 apples for every 6 oranges. celeste is filling her baskets with 2 apples every 3 oranges.
Answers
equivalent fractions to 2/3 is 4/6 6/9 and 8/12
Celeste is not using the correct number of apples to oranges
Celeste is making fruit baskets for her service club, and she is not following the specific ratio but using a similar ratio of apples to oranges in her baskets.
Explanation:Celeste is making fruit baskets for her service club, and the directions say to fill the boxes using 5 apples for every 6 oranges. However, Celeste is filling her baskets with 2 apples for every 3 oranges. To determine if Celeste is following the directions, we can compare the ratio of apples to oranges in her baskets with the ratio specified in the directions.
In the directions, the ratio of apples to oranges is 5 apples: 6 oranges, which can be simplified to 5/6. In Celeste's baskets, the ratio of apples to oranges is 2 apples : 3 oranges, or 2/3.
To compare these ratios, we can find the least common multiple (LCM) of the denominators (6 and 3), which is 6. Then, we can convert both ratios to have the same denominator using equivalent fractions:
5/6 * 1/1 = 5/6 and 2/3 * 2/2 = 4/6.
Since 4/6 is less than 5/6, Celeste is not following the directions exactly. However, she is still using a similar ratio of apples to oranges in her baskets.
Factor of 3x^2 - 6x 3
Answers
3(x^2-2x+1)
what 2 numbers multiply to 1 and add to get -2?
-1 and -1
(3)(x-1)(x-1) is factored form
Find the equation of the tangent line to the curve y = 2sinx at the point (pi/6,1). The equation of this tangent line can be written in the form y = mx+b. Compute m and b
Answers
1) m = slope of the tangent line = derivative at the point (pi/6, 1)
Function: y = 2sinx
Derivative: y ' = 2cosx
evaluate at x = pi/6=> y ' = 2cos(pi/6) = √3
2) equation using the slope and the point (pi/6, 1)
y - 1 = √3 ( x - pi/6 )
y = √3 x - √3(pi/6) +1 =√3 x + 0.093
y = √3 x + 0.093
m = √3, b = 0.093
The equation of the tangent line to the curve y = 2sinx at the point (pi/6,1) is y = sqrt(3)x + (1 - sqrt(3)(pi/6)).
Explanation:To find the equation of the tangent line to the curve y = 2sinx at the point (pi/6, 1), we need to find the slope of the curve at that point. The slope of a curve at a point is equal to the derivative of the function at that point.
Taking the derivative of y = 2sinx, we have dy/dx = 2cosx. Evaluating this derivative at x = pi/6, we get dy/dx = 2cos(pi/6) = sqrt(3). Therefore, the slope of the tangent line is sqrt(3).
Now we have the slope and a point on the line, (pi/6, 1). We can use the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values, we have y - 1 = sqrt(3)(x - pi/6).
Simplifying this equation, we get y = sqrt(3)x - sqrt(3)(pi/6) + 1. Finally, we can rewrite the equation in the form y = mx + b by simplifying the y-intercept, giving us y = sqrt(3)x + (1 - sqrt(3)(pi/6)).
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A _______ is a group of people who agree to save their money together and to make loans to each other at a relatively low rate of interest. A. credit union B. mutual fund C. investment firm D. commercial bank
Answers
What is the standard form for y + 5 = 0?
Answers
Find the value of tan 39°. Round to the nearest ten-thousandth.
Answers
tangent of 39 degrees is .80978
rounding to the nearest ten thousandth would be .8098 because the 8 in the hundred thousandths is greater than 5.
The value of the given trigonometric ratio tan 39° is approximately 0.8098.
Use the concept of trigonometric ratio defined as:
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are several distinctive trigonometric identities that relate to a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
The given trigonometric ratio is: tan 39°
Since,
[tex]\text{tan }\theta = \dfrac{\text{sin }\theta}{\text{cos }\theta}[/tex]
The value of the sine of 39° is approximately 0.6293.
The value of the cosine of 39° is approximately 0.7771.
Therefore,
tan 39° = 0.6293 / 0.7771
tan 39°≈ 0.8098 (After rounding to four decimal places).
Hence,
The required value tan 39° is approximately 0.8098.
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Algebraic terms are separated by ______.
Choose all that apply.
1)=
2)+
3)x
4)÷
5)-
Answers
In algebra, terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. The equals (=) sign is used to show equality, not to separate terms.
Explanation:In the realm of mathematics, particularly in algebra, algebraic terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. These operations are the main components that allow us to manipulate and solve algebraic expressions and equations. For example, in the expression 3x - 2y + 5z, the terms (3x, 2y, 5z) are separated by subtraction (-) and addition (+) symbols. Please note that the equals (=) sign does not separate terms; rather, it is used to show the equality between two mathematical expressions.
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Final answer:
Algebraic terms are separated by plus (+) and minus (-) signs, which denote addition or subtraction between terms in an expression.
Explanation:
Algebraic terms are separated by plus (+) and minus (-) signs.
These signs denote addition or subtraction between terms in an algebraic expression.
While the multiplication sign (x) and division sign (÷) indicate operations between terms, they do not separate independent terms within an expression.
For instance, in the expression 2x + 3y - 5z, the plus and minus signs separate the terms 2x, 3y, and 5z.
The population of a city increases by 10,000 per year. The starting population is 800,000.
Let P be the ending population.
Which shows an equation for the total population after x years?
Answers
Find Dxy using the rules for finding derivatives.
=(5x^2−8)(9x^2−3x+5)
Answers
y= 45x^4 - 15x³ + 25x² - 72x² + 24x - 40
Simplify like terms,
y= 45x^4 - 15x³ - 47x² + 24x - 40
Now, find derivative,
dy/dx = 180x³ - 45x² - 94x + 24
factor the common factor out of 8x^3+12x
Answers
do what you love, love what you do
~GlitterWolfy~
The initial number of views for a reader board was 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number Enter your answer in the box.
Answers
This is an exponential growth problem. Let's write the equation for exponential growth.
[tex]P=P_{0} (1+r)^{n}[/tex]
Where,
P is the final amount[tex]P_{0}[/tex] is the initial amountr is the rate at which increasingn is the timeFrom the problem, we know initial number of views, [tex]P_{0}[/tex], is 25. Rate of increase, r, is 0.18. Time, n, is 4 weeks. Plugging in these values in the equation and solving for P will give us the number of views expected in four weeks time.
[tex]P=(25)(1+0.18)^{4}\\=(25)(1.18)^{4}\\=48.47[/tex]
Rounding to nearest whole number, it is 48.
ANSWER: 48
Determine the sum -46.38 (-24.6)
Answers
so the answer would be -70.98.
I hope this helps, and have a fantastic day!
Clark wants to figure out how many pens to order for the office there 48 workers and he needs to order one pen for each worker he knows that for every six people who prefer red door 6 prefer blue how many blue pens should he order
Answers
Given that the preference for red and blue pens is equal and that there are 48 workers, Clark should order 24 blue pens for the office.
Explanation:The student is interested in figuring out how many blue pens to order for 48 workers in an office knowing that the preferences for red and blue pens are equal. This means that for every 6 people who prefer red, the same number of people will prefer blue.
To determine the number of blue pens needed, we can use a simple proportion. Since 6 people prefer red and the same number prefer blue, we have a 1:1 ratio of red to blue preferences.
Therefore, the total number of blue pens needed would be half of the total number of workers:
Total workers = 48Number of blue pens = Total workers / 2 = 48 / 2Number of blue pens = 24how do i determine if the equation is always, never, or sometimes true
Answers
sometimes true; holds true under some circumstances like anything times 3 is even
Never truer theorem disproves it or there are many counterexamples: negative times negative is negative
if there is 1/3 of a pizza left, and Becky only wants to eat 1/2 of it, how much pizza does she want
Answers
The amount of pizza she wants is:
[tex]\dfrac{1}{6}[/tex] of the pizza.
Step-by-step explanation:If there is 1/3 of a pizza left, and Becky only wants to eat 1/2 of it.
Then the amount of pizza she wants is:
1/2 of the amount of the pizza left.
i.e. she wants:
[tex]\dfrac{1}{2}\times \dfrac{1}{3}=\dfrac{1}{6}[/tex]
This means that Becky wants 1/6 parts of the whole pizza.
Match the given equation with the verbal description of the surface:
A. Cone
B. Elliptic or Circular Paraboloid
C. Plane
D. Half plane
E. Circular Cylinder
F. Sphere
1. r = 4
2. θ = [(π)/3]
3. ρ = 2cos(φ)
4. r = 2cos(θ)
5. ρ = 4
6. r2 + z2 = 16
7. ρcos(φ) = 4
8. φ = [(π)/3]
9. z = r2
Answers
Each equation matches with a surface as follows: A. Cone - ρ = 2cos(φ); B. Elliptic or Circular Paraboloid - z = r²; C. Plane - ρcos(φ) = 4; D. Half plane - θ = [(π)/3]; E. Circular Cylinder - r = 2cos(θ); and F. Sphere - r² + z² = 16 or r = 4.
Explanation:In order to match each equation with the verbal description of the surface, it's important to recognize their respective characteristics.
A. Cone matches with 3. ρ = 2cos(φ). This is because this polar equation describes a cone in spherical coordinates, where ρ represents the radius, φ is the angular altitude, and cos(φ) describes the height-to-radius ratio of the cone.B. Elliptic or Circular Paraboloid is linked to 9. z = r². This equation represents a paraboloid in cylindrical coordinates. Here, z elevation varies quadratically with the distance from the z-axis, r.The C. Plane can be matched with 7. ρcos(φ) = 4. In spherical coordinates, if ρcos(φ) equals a constant, a plane is obtained where it cuts the z-axis at that constant.D. Half plane corresponds to 2. θ = [(π)/3]. This polar equation with θ as a constant represents a half plane.The E. Circular Cylinder links to 4. r = 2cos(θ). This equation represents a circular cylinder in cylindrical coordinates.F. Sphere is matched with 6. r² + z² = 16 and 1. r = 4 which represent a sphere in cylindrical and polar coordinates, respectively.Learn more about Surface Equations here:https://brainly.com/question/28482933
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Kamal bought 7 packs of paper clips for a project. then he bought 8 more packs. there are 25 paper clips in each pack. how many paper clips did he buy?
Answers
15x25=375
375 paper clips
Answer:
He bought 375 paper clips.
Step-by-step explanation:
Given,
The initial number of packs of paper clips = 7,
Also, the additional number of packs of paper clips = 8,
So, the total number of packs of paper clips = 7 + 8 = 15,
Now, the number of paper clips in each pack = 25,
Hence, the total number of paper clips = number of paper clips in each pack × total packs
= 25 × 15
= 375
"Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, y, as it relates to the number of miles driven, x, is shown in the graph below.
Fill in the blanks so that the functions below, written to represent this situation, are correct. If necessary, the answer in terms of a decimal, rounded to the nearest hundredth.
f(x)= ______x+________"
Answers
f(x) = 1/4 *x+ 25
f(x) = 0.25x + 25
Hope this is the answer that you area looking for.
Answer:
[tex]f(x)=\dfrac{1}{4}x+25[/tex]
Step-by-step explanation:
Clearly from the graph we could see that it passes through two points (0,25) and (20,30) and also as the graph is linear so with the help of these two points we can find the relation between f(x) and x.
We know that the equation of a line passing through two points (a,b) and (c,d) is given by:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
Here we have:
y=f(x) , (a,b)=(0,25) and (c,d)=(20,30).
Hence the equation of this graph is given as:
[tex]f(x)-25=\dfrac{30-25}{20-0}\times (x-0)\\\\f(x)-25=\dfrac{5}{20}\times x\\\\f(x)-25=\dfrac{1}{4}\times x\\\\f(x)=\dfrac{1}{4}x+25[/tex]
Hence,
[tex]f(x)=\dfrac{1}{4}x+25[/tex]
A(n) ______ is a letter or symbol that represents some unknown value.
A. term
B. equation
C. variable
D. expression
Answers
Answer:
It is a variable
Step-by-step explanation:
A variable is a characteristic, number, or quantity that increases or decreases over time or takes different values in different situations. Hope this helps.
What is 9/2 as a decimal?
Answers
So, your answer is 4.5
Hope it helped.
The sum of two consecutive integers is at least 46. What is the least possible pair of integers?
Answers
Answer
23 and 24.
Explanation
let the first integer be x.
The next integer would be x + 1
Now form the equation
x + (x+1) = 46
x + x + 1 = 46
2x + 1 = 46
2x = 46 - 1
x = 45
x = 22.5 This is not an integer.
Since the question is asking for the least possible integer, unless we use 23 ≅22.5
The first integer been 23, the other one would be (23 + 1) = 24.
The least possible pair would be 23 and 24.
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?
Answers
You can calculate this by taking the length of the similar prism and divide it with the first prism 14.7/4.2 = 3.5
Do this with the width and height to be sure
20.3/5.8 = 3.5
33.6/9.6 = 3.5
Answer:
its (c) 3 1/2
Step-by-step explanation:
Please complete z2+9z-90=(z-6)(z+?) ...?
Answers
z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)
Answer:
Answer would be 15.
Step-by-step explanation:
We have to complete the expression given as
[tex]z^{2}+9z-90=(z-6)(z+?))[/tex]
We will try to factorize the expression given in the left side.
[tex]z^{2}+9z-90=z^{2}+15z-6z-90[/tex]
= z(z+15)-6(z-15)
=[tex](z-6)(z-15)[/tex]
Now we will compare this factorized form with the right side of the expression.
(z-6) (z-15) (= (z-6) (z+?)
We find question mark is 15.
Therefore, the answer is 15.
On sunday,sheldon bought 4 and 1 half kg of plant food. he used 1 and 2 thirds kg on his strawberry plants and used 1 fourth kg for his tomato plants. how many kilograms of plant food did sheldon have left write one or more to show how u reached your answer.
Answers
Use parallelogram JKLM to find the length of JK.
Answers
Answer:
JK = 6
Step-by-step explanation:
Given: We are given a parallelogram JKLM and ML = 6 units. and m∠K = 109°
We need to find length of JK.
Here we use the properties of parallelogram to find the length of Jk.
In a parallelogram, the opposite sides are parallel and equal in measures.
Therefore, ML = JK
Given: ML = 6
So, 6 = JK
Therefore, the length of JK = 6