Answer:
Alecia lives farther from school
Step-by-step explanation:
Georgia
we know that
The distance from the school to her home is 67/100 of a mile
[tex]\frac{67}{100}=0.67\ miles[/tex]
Alecia
we know that
The distance from the school to her home is
3/10 of a mile plus 4/10 of a mile
so
[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]
Compare the distances
[tex]0.7\ miles>0.67\ miles[/tex]
therefore
Alecia lives farther from school
Final answer:
The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.
Explanation:
Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.
Georgia: Walked 67/100 mile total distance.
Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.
A carpenter has a board 18 1/2 feet long. He needs to cut as many 1 3/4 feet long pieces as possible. How many pieces can the carpenter cut? Explain how you found your answer.
So you know that the carpenter has a board that is 18.5ft long and he wants to cut 1.75ft pieces.
Assume that x is the amount of boards he cuts,
1.75x = 18.5
Isolate x by dividing each side by 1.75.
x = 18.5/1.75 = 10.57 pieces.
Searches related to A polygon with congruent angles and congruent sides is called a ______ polygon.
Answer:
Regular
Step-by-step explanation:
A polygon with congruent sides and angles is a regular polygon, with an equilateral triangle or a square as an example. A 3D shape example is an icosahedron with 20 regular triangular faces.
Explanation:A polygon with congruent angles and congruent sides is called a regular polygon. This means that all its sides and angles are equal in measure. An example of a regular polygon is an equilateral triangle which has all three sides of equal length and all three angles 60 degrees each, or a square that has four sides of equal length and four angles each 90 degrees.
An example provided is an icosahedron which is a regular polyhedron (a 3D shape) with 20 identical equilateral triangular faces. Every face is a regular polygon, showing that all its 20 faces have congruent angles and sides.
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A dress costs $63. If the store is having a 20% off sale how much does the dress cost now
The dress will cost $50.40 after a 20% discount from the original price of $63. You calculate this by finding 20% of $63, which is $12.60, and subtracting it from $63.
Explanation:When a store is having a 20% off sale, it means that the original price of the item is reduced by 20%. In this case, you need to calculate 20% of $63, which is the original price of the dress.
To find 20% of $63, you multiply 63 by 20/100 (because percent means per hundred). That is: 63 * 0.20 = $12.60.
So the amount of the discount is $12.60. Therefore, you subtract this discount from the original price of the dress to find out the new price: 63 - 12.60 = $50.40.
So, after a 20% off sale, the dress will cost $50.40.
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Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.
Housing $612
Food $238
Transportation $370
What is the problem with this budget?
A.
She is budgeting more than the highest recommended for transportation.
B.
She has used the highest recommended percentages for the three categories.
C.
She has allotted more than 36% of her income for housing.
D.
She is budgeting too little for transport
Answer:
B
Step-by-step explanation:
Answer with explanation:
We will use [tex]\frac{28}{36}[/tex], rule here,which states that , 28% of your gross income should be used for housing finances and 36% of your income , should be used for debt purposes.
Total monthly income of Brenda = $ 1700
→28% of 1700
[tex]=\frac{28}{100}\times 1700\\\\=28 \times 17\\\\=476[/tex]
⇒Total Housing finances, which includes , housing, food and transportation = $ 476
→Option C:
She has allotted more than 36% of her income for housing.
What is the domain of the function f(x)= e^x/e^x+c if c is a constant greater than 0
Answer: Option d.
Step-by-step explanation:
To find the domain of the function we should look for the values for which the denominator is equal to zero, because the division by zero is not allowed.
We know by definition that the function [tex]e^x[/tex] is always greater than zero for all x.
We know that the constant c is greater than zero (c>0).
Then, the expression [tex]e^x+c[/tex] is never equal to zero.
Therefore, it does not exist a value for x that makes the denominator 0. Then, the domain of the function is all real numbers.
The answer is the option d.
One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers
Answer:
9 and 14
Step-by-step explanation:
One number is 5 less than a second number.
a = b - 5
:
Twice the second number is 8 less than 4 times the first.
2b = 4a - 8
replace a with (b-5)
2b = 4(b-5) - 8
2b = 4b - 20 - 8
2b - 4b = -28
-2b = -28
b = 14
then
a = 9
The equation is solved and the two numbers are x = 7 and y = 12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let's call the first number "x" and the second number "y"
x = y - 5 (the first number is 5 less than the second number)
2y = 4x - 4 (twice the second number is 4 less than 4 times the first)
We can use substitution to solve for one of the variables.
Substituting the first equation into the second equation, we get:
2y = 4 (y - 5) - 4
Simplifying this equation , we get
2y = 4y - 24
2y - 4y = -24
-2y = -24
y = 12
Now that we know that the second number is 12, we can use the first equation to find the first number:
x = y - 5
x = 12 - 5
x = 7
Hence , the two numbers are 7 and 12
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A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long when the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?
Answer: 48°
Step-by-step explanation:
The shadow is the adjacent side and the length of the flag is the hypotenuse
[tex]cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}[/tex]
Answer: a
Step-by-step explanation: edge 2021
(a) What is the difference between a sequence and a series? A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is an unordered list of numbers. A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) What is a convergent series? What is a divergent series? A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent. A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Answer:
See below.
Step-by-step explanation:
(a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
(b) A series is convergent if the sequence of partial sums is a convergent sequence (that is tends to a limit). A series is divergent if it is not convergent.
Answer:
(a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.Step-by-step explanation:
A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.
(a) What is the difference between a sequence and a series?
A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is an unordered list of numbers. A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.
(b) What is a convergent series? What is a divergent series?
A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.What is the value of f(?3) +f(7) f(-3) +f(7) when f(x)=?3x+9 f(x)=-3x+9 ? 18 6 -6 -12
Answer:
The correct answer is 6.
Step-by-step explanation:
To find this, first find f(-3)
f(x) = -3x + 9
f(-3) = -3(-3) + 9
f(-3) = 9 + 9
f(-3) = 18
Now we do the same for f(7)
f(x) = -3x + 9
f(7) = -3(7) + 9
f(7) = -21 + 9
f(7) = -12
Now we add them together
18 + -12 = 6
The value of f(?3) + f(7) - f(-3) + f(7) is -24.
Explanation:To find the Value of f(?3) + f(7) - f(-3) + f(7), we need to substitute the given values into the function f(x) = -3x + 9.
Substituting -3 for x, we get f(?3) = -3(-3) + 9 = 18.
Substituting 7 for x, we get f(7) = -3(7) + 9 = -12.
Substituting -3 for x and adding the results, we get f(-3) = -3(-3) + 9 = 18.
Substituting 7 for x, we get f(7) = -3(7) + 9 = -12.
Now, let's calculate the Value of the expression:
f(?3) + f(7) - f(-3) + f(7) = 18 + (-12) - 18 + (-12) = -24
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Please help!! 55 points!! Which answer is the equation of the given line? Picture included of graph
Answer:
y = -4
Step-by-step explanation:
Once you recognize the line as being horizontal, you know its equation will be ...
y = (some constant)
The value of the constant will correspond to the y-coordinate of the points the line goes through. It will also be the value of the y-intercept. Here, that value is -4, so the equation is ...
y = -4
Answer:
y= -4 since it is on the x-axis but does not have any x coordinates
When Jeremy filled his car's gas tank last week, his car had an odometer reading of 25,500. One week later, he refilled the tank, which now has an odometer reading of 26,100. It took 25 gallons of gas to fill the tank. How many miles does Jeremy's car get per gallon?
24 miles is the answer.
Step-by-step explanation:
The previous reading of Jeremy's car = 25500
The current reading is = 26100
Difference between readings = [tex]26100-25500=600[/tex]
Number of gallons used to fill the tank = 25
So, miles traveled by Jeremy in 25 gallons is = 600
In 1 gallon, he travels = [tex]\frac{600}{25}= 24[/tex] miles.
Therefore, Jeremy's car gets 24 miles per gallon.
A package shipment company recorded the number of packages received at each of two businesses, Aquarium World and Rare Vinyl. The line plots show the number of packages received at each business every day over 2 weeks.
What statement about the two plots’ distributions is true?
(A) The degree of overlap between the two distributions is moderate.
(B) There is no overlap between the two distributions.
(C) The degree of overlap between the two distributions is low.
(D) The degree of overlap between the two distributions is high.
Answer:B:There is no overlap between the two distributions hope this helps
Answer: There is no overlap between the two distributions
PLZ HELP
a quarter circle has radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi. Round your final answer to the nearest hundredth.
Answer:
[tex]A=38.47\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of a quarter circle is equal to
[tex]A=(1/4)\pi r^{2}[/tex]
we have
[tex]r=7\ cm[/tex]
substitute the values
[tex]A=(1/4)(3.14)(7)^{2}=38.47\ cm^{2}[/tex]
Describe the translation (Picture provided)
Answer:
D
Step-by-step explanation:
We would need to understand 2 rules of translation in order to figure this out.
1. The graph of f(-x) is the graph of f(x) reflect about the y-axis
2. The graph of f(x+a) is the graph of f(x) shifted horizontally a units LEFT and the graph of f(x-a) is the graph of f(x) shifted horizontally a units RIGHT
We are comparing [tex]ln(5-x)[/tex] with the parent graph of [tex]lnx[/tex]. Firstly, there is -x in place of x, this means the graph is reflected about y-axis. Next, there is +5 added with -x, so it means the graph is shifted horizontally 5 units to the LEFT
Looking at the answer choices, D is the correct answer.
Answer:
Option d
Step-by-step explanation:
Let f(x) be a logarithmic function of the form [tex]f(x) = log(x)[/tex]. So:
[tex]y = f(-x)[/tex] represents a reflection of f(x) on the y axis.
[tex]y = f(-x) = log(-x)[/tex]
Then:
[tex]y = f(x + 5)[/tex] represents a displacement of [tex]f(x)[/tex] 5 units to the left.
[tex]y = f(x + 5) = log(x + 5)[/tex]
Therefore, the operation:
[tex]y = f(-x + 5) = log(5-x)[/tex]
Represents a reflection on the y axis and a translation of 5 units to the left
The base of a lampshade is in the shape of a circle and has a diameter of 13 inches. What is the circumference, to the nearest tenth of an inch, of the lampshade? (Use 3.14 for π.)
Question 3 options:
13.3 inches
20.4 inches
26.0 inches
40.8 inches
The circumference is found by multiplying the diameter by PI.
Circumference = 13 inches x 3.14 = 40.82
Rounded to the nearest tenth = 40.8 inches.
Answer:13.3
Step-by-step explanation:
Tom and some friends went to a movie the show started at 2:30 PM and ended at 4:15 PM how long is the movie last
Answer:
1 hour and 45 mins
Step-by-step explanation:
As mentioned,
Starting time = 2:30 PM
Ending time = 4:15 PM
The given time is in hours and minutes, to calculate the duration of movie, time should be converted into a same unite minutes.
1 hour = 60 minutes
Therefore,
2:30 = 2 hours and 30 mins = 2*60 + 30 mins = 150 mins
4:15 = 4 hours and 15 mins = 4*60 + 15 mins = 255 mins
The duration = Ending time - Starting time
=> 255 - 150
=> 105 mins
or
60 + 45
1 hour and 45 mins
Please show all work !
Find all polar coordinates of point P = (9, 75°).
Answer:
1) (9, 75+360n)
2) (−9, 255+360n)
Step-by-step explanation:
(9, 75) is same as (9, 75 + 360)
so it would be (9, 435)
It can also be expressed as (-9, 75 + 180 degrees)
so (-9,255) degrees
In general, (9,75+360 n) for n≥0 represents half of the possible ways of representing the point : (9,75)
Answer with explanation:
The Position of Point in two dimensional plane , P=(9,75°)
→The general rule of writing the point (r,Ф) in terms of polar coordinates is,
x=r cos Ф , y=r sin Ф
The angle between Intial side and terminal side is Acute.
Here, r=9 units
And , Ф=75°
→→Period of Cosine and Sine is 2π.
⇒⇒So,the coordinates of Point will be
x=9 *cos (2nπ+75°), And ,y=9 *sin (2nπ+75°), where n is any integer.
Given six memory partitions of 300 kb(m1), 600 kb(m2), 350 kb (m3), 200 kb (m4), 750 kb(m5), and 125 kb(m6) (in order), how would the first-fit, best-fit, and worst-fit algorithms place processes of size p1-115 kb, p2- 500 kb, p3- 358 kb, p4 -200 kb, and p5 - 375 kb (in order)? rank the algorithms in terms of how efficiently they use memory.
I need this question too, PLEASE HELP
Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits.
y=0.8^x
Answer:
The answer is (d)
Exponential decay function
[tex]\lim_{x \to -\infty} f_x=0[/tex]
[tex]\lim_{x \to \infty} f_x= \infty[/tex]
Step-by-step explanation:
∵ y = 0.8^x
∵ 0.8 < 1
∴ 0.8^x is decreasing ⇒ exponential decay function
Ex: 0.8^-4 = 2.441 ⇒ 0.8^4 = 0.4096
when x increase the value of 0.8^x decrease
[tex]\lim_{n \to -\infty} f_x=0.8^{-\infty} = \frac{1}{0.8^{\infty}}=0[/tex]
[tex]\lim_{x \to \infty} f_x=0.8^{\infty}=\infty[/tex]
∴ The answer is (d)
A fence in feet is 7 feet 6 inches high 1 foot = 12 inches what is the height of the fence in centimeters?
Answer:
228.6 cm
Step-by-step explanation:
Compute the value of the following expressions: 323 mod 5 323 div 5 −323 mod 5 −323 div 5 327 mod 3 (64 · (−67) + 201) mod 7 (〖38〗^12) mod 6 (〖38〗^12) mod 3
Answer:
323 mod 5 = 3
−323 mod 5 = -3
327 mod 3 = 0
(64 * (-67) + 201) mod 7 = 6
(38^12) mod 6 = 4
(38^12) mod 3 = 1
Step-by-step explanation:
The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number.
323 mod 5
323/5 = 64.6
.6 * 5 = 3
−323 mod 5
323/5 = -64.6
-.6 * 5 = -3
327 mod 3
327/5 = 109
0 * 3 = 0
(64 * (-67) + 201) mod 7
64 * -67 = -4288 + 201 = 4087
4087/7 = 583.85714
.85714 * 7 = 6
(38^12) mod 6
38^12 = 9.07x10^18
9.07x10^18/6 = 1510956318082499242.6666667
.666667 * 6 = 4
(38^12) mod 3
38^12 = 9.07x10^18
9.07x10^18/3 = 3021912636164998485.333333
.3333333 * 3 = 1
323 mod 5 = 3
−323 mod 5 = -3
327 mod 3 = 0
(64 * (-67) + 201) mod 7 = 6
(38^12) mod 6 = 4
(38^12) mod 3 = 1
Step-by-step explanation:
The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number.
323 mod 5
323/5 = 64.6
.6 * 5 = 3
−323 mod 5
323/5 = -64.6
-.6 * 5 = -3
327 mod 3
327/5 = 109
0 * 3 = 0
(64 * (-67) + 201) mod 7
64 * -67 = -4288 + 201 = 4087
4087/7 = 583.85714
.85714 * 7 = 6
(38^12) mod 6
38^12 = 9.07x10^18
9.07x10^18/6 = 1510956318082499242.6666667
.666667 * 6 = 4
(38^12) mod 3
38^12 = 9.07x10^18
9.07x10^18/3 = 3021912636164998485.333333
.3333333 * 3 = 1
Please help me out. :)
Answer:
x = 13.
Step-by-step explanation:
Because it is an isosceles trapezoid the 2 marked angles are equal, so
5x + 15 = 7x - 11
15 + 11 = 7x - 5x
2x = 26
x = 13.
Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate the AREA of the blanket if x = 2.
Answer:
Polynomial expression that represents the area of blanket:
[tex]A(x)=(6x^2+5x-21)cm^2[/tex]
If [tex]x=2[/tex]: [tex]A(2)=13cm^2[/tex]
Step-by-step explanation:
The area of the rectangle can be calculated with the formula:
[tex]A=lw[/tex]
Being l the lenght of the rectangle and w the width of the rectangle.
In this case, the lenght and the width are represented with:
[tex]l=(3x+7)cm[/tex]
[tex]w=(2x-3)cm[/tex]
Substitute them into [tex]A=lw[/tex]:
[tex]A(x)=(3x+7)(2x-3)[/tex]
Then:
Use Distributive property (Remember the Product of powers property: [tex]b^a*b^c=b^{(a+c)}[/tex] ):
[tex]A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21[/tex]
Add like terms:
[tex]A(x)=(6x^2+5x-21)cm^2[/tex] (Simplied form)
Evaluate [tex]x=2[/tex]:
[tex]A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2[/tex]
Noah borrows $2000 from his father and agrees to repay the loan and any interest determined by his father as soon as he has the money. The relationship between the amount of money, A, in dollars that Noah owes his father (including interest), and the elapsed time, t, in years, is modeled by the following equation. A=2000e^{0.1t}. How long did it take Noah to pay off his loan if the amount he paid to his father was equal to $2450? Give an exact answer expressed as a natural logarithm.
Answer:
ln(1.225)/0.1
Step-by-step explanation:
The credit all goes to @lucic , but the answer is expressed as a natural log
In the year 2000, the United States had a population of about 281.4 million people; by 2010, the population had risen to about 308.7 million.
Part A
Find the 10-year continuous growth rate using P=[tex]P_{0}[/tex][tex]e^{rt}[/tex].
Part B
Write an equation to model the population growth of the United States, and use it to estimate the population in 2020.
Answer:
Part 1. 0.9259 % per year
Part 2. P = 281.4e^(0.009 259t); 338.6 million
Step-by-step explanation:
Data:
P₀ = 281.4 million
P = 308.7 million
Part 1. Growth rate
t = 2010 - 2000 = 10 yr
P = P₀e^(rt)
308.7 = 281.4e^(10r)
e^(10r) = 1.0970
10r = ln1.0970
r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259
r = 0.9259 % per year
The 10-year continuous growth rate is 0.9259 % per year.
Part 2. Population model
The population model is
P = 281.4e^(0.009 259t)
where P is in millions and t is the number of years since 2000.
By 2020,
P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203
P = 338.6 million
The estimated population in 2020 is 338.6 million.
Shelly has a ribbon that is 52 feet long.She wants to cut the ribbon into 8 pieces of equal length.How long should each piece of ribbon be?
Answer:
52/8 = 6.5 feet
What is the remainder R when the polynomial p(x) is divided by (x+2)
Answer:
see explanation
Step-by-step explanation:
If (x + 2) is a factor then x = - 2 is a root and p(- 2) = 0
p(- 2) = -4[tex](-2)^{4}[/tex] + 6(- 2)³ + 8(- 2)² + 2(- 2) - 1
= - 64 - 48 + 32 - 4 - 1 = - 85
Hence remainder R = - 85
Since p(- 2) ≠ 0 then (x + 2) is not a factor of p(x)
5 apples cost ?1.45. 3 apples and 2 bananas cost ?1.13. What is the cost of 1 banana
1.45÷5=0.29
0.29×3=0.87
1.13-0.87=0.26
0.26÷2=0.13
One banana costs 0.13
Final answer:
By setting up two equations based on the cost of apples and the combined cost of apples and bananas, we can calculate that the cost of one banana is \'0.13.
Explanation:
To solve the question about the cost of one banana, we need to set up two equations based on the given information. Let's denote the cost of one apple as 'A' and the cost of one banana as 'B'.
We are given that 5 apples cost \'1.45, which can be written as an equation: 5A = 1.45. We are also given that 3 apples and 2 bananas cost \'1.13, which can be expressed as the equation 3A + 2B = 1.13. By solving these two equations simultaneously, we can find the value of 'B', the cost of one banana.
First, we solve the first equation for A: A = 1.45/5. We get A = 0.29. Now, we substitute this value into the second equation: 3(0.29) + 2B = 1.13. This simplifies to: 0.87 + 2B = 1.13. Solving for B, we get: 2B = 1.13 - 0.87, hence B = (1.13 - 0.87)/2. After performing the subtraction and division, we find that B = 0.13.
Therefore, the cost of one banana is \'0.13.
A parking garage opens at 8 AM. The graph shows the total number of cars in the garage. How many cars were parked in the garage overnight? A.30 B.20 C.40 D.60
Answer:
D, 60.
Step-by-step explanation:
Well first of all, 30, 20, or 40 isn't even on the graph in the first place, and since the garage opens at 8, and it was 8 exactly and there were 60 cars parked, that means there was 60 parked over night. hope i helped!!
The number of cars parked overnight will be 180.
Option D is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
We have the following coordinates:
(10, 80), (20, 100), (30, 120), (40, 140), (50, 160), and (60, 180)
This means,
(10, 80)
After 10 minutes Past 8 am, the number of cars is 80.
Now,
The number of cars parked overnight will be 180.
From the graph, we have the highest coordinates as (60, 180).
Thus,
The number of cars parked overnight will be 180.
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The kite is made of two triangles. Are they isoscele, equilateral, or scalene triangles?
A kite's symmetrical structure typically forms isosceles triangles due to equal side lengths. Asymmetrical kites generate scalene triangles with varying side lengths, influencing triangle types and angles within based on side intersections.
A kite, with its distinct shape formed by two pairs of adjacent congruent sides, generates triangles within. These triangles can exhibit various properties based on the kite's symmetry. If the kite is symmetrical, the triangles formed tend to be isosceles due to the equal side lengths.
However, asymmetrical kites can yield scalene triangles with sides of varying lengths. The relationship between the kite's structure and the triangle types arises from the lengths and intersections of its sides.
Symmetry tends to create similar or congruent triangles, while asymmetry leads to triangles with differing side lengths. Consequently, the angles within these triangles vary based on the intersection of the kite's sides, resulting in a mix of acute, obtuse, or right angles.
complete the question
What are the possible types of triangles formed within a kite, and how do their properties relate to the structure of the kite? Discuss the potential combinations of isosceles, equilateral, and scalene triangles within a kite, considering the lengths of the sides and the angles formed by the kite's structure."