20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.
Given:
Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90
In the right-angled triangle ABC,
By Pythagoras' theorem,
AB² = AC² + BC²
AB² = 30² + 40²
AB² = 900 + 1600
AB² = 2500
AB² = [tex]\sqrt{2500}[/tex]
AB = 50m
The distance from A to B along the diagonal of the park = 50m
The distance from A through to C = 30m.
The distance from A through C to B = 30 + 40 = 70m.
Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.
To learn more about the diagonal visit: https://brainly.com/question/12274248
#SPJ1
consider the following graph. the x y coordinate plane is given. the curve begins at the origin, goes up and right becoming less steep, the curve changes direction at (1, 3), goes down and right becoming more steep, passes through (2, 2), goes down and right becoming less steep, changes directions at (3, 1), goes up and right becoming more steep, passes through the point (4, 3), goes up and right becoming less steep, passes through (5, 4) almost horizontally, goes up and right becoming more steep, passes through the approximate point (6, 4.2) and ends at (7, 6). (a) find the interval(s) on which f is increasing. (enter your answer using interval notation.) incorrect: your answer is incorrect. (b) find the interval(s) on which f is decreasing. (enter your answer using interval notation.) correct: your answer is correct. (c) find the interval(s) on which f is concave upward. (enter your answer using interval notation.) incorrect: your answer is incorrect.
A) The interval(s) on which f is increasing is; (1,3) ∪ (4,6).
B) The interval(s) on which f is decreasing is; (0,1) ∪ (3,4).
(C) The interval(s) on which f is concave upward is; (0,2) ∪ (3,5).
How to find the increasing or decreasing interval?
A) A function is said to be increasing on an interval if for every point on that interval we see that the first derivative is positive. Thus, from the attached graph, we see that the function is increasing on the intervals (1,3) and (4,6).
B) If the value of the derivative f' (x) ≤ 0 of the function, then we can say that the interval is a decreasing interval. From the graph, we can say that the function is decreasing on intervals (0,1) and (3,4).
C) The graph is concave upward on the intervals (0,2) and (3,5).
D) The graph is concave downward which means convex on the interval (3,4).
e) The points of inflection are defined as the points located on a smooth plane curve that the curvature changes sign. In this graph, the points of inflection are x=3 and x=5.
Read more about decreasing or Increasing Interval at; https://brainly.com/question/1503051
#SPJ1
-3√7r³-6√7r²
How do I solve this step by step?
The solution of the expression -3√7r³-6√7r² is -3√7r²(r+3)
Expression:
An expression also known as the algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given,
Here we have the expression -3√7r³-6√7r²
Now, we have to solve this expression step by step.
In order to solve this expression, we have to write the given expression as,
=> - 3√7r³- 6√7r²
Here the value √7 is common, so we have to take it as the common term and then rewrite the given expression as,
=> √7(-3r³-6r²)
Now, we have to take the number -3, as the common term then we get he expression like the following,
=> -3√7(r³+3r²)
Now we have to take the variable r² as the common term, then we get,
=> -3√7r²(r+3)
To know more about Expression here.
https://brainly.com/question/14083225
#SPJ1
Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
Answer:
1323.3
Step-by-step explanation:
A rental car company charge $63. 25 per day to rent a car and $0. 07 for every mile driven. Ella want to rent a car, knowing that: She plan to drive 50 mile. She ha at mot $130 to pend
Answer:
it would be 66.75 for one day if ella plans to drive for 1 day with 50 miles, and if you need how much money she has left it is 63.25
Step-by-step explanation:
hope it helped:)
The school needs to purchase a new refrigerator for student rewards. Lowes is
having a 15% off. If the original price is $700, what is the discount amount?
Answer:
1) The new price would be $595
2 )The discount is $105 off
Step-by-step explanation:
1) 700 x 0.85 = 595
2) 700 x 0.15 = 105
Brianna is very good at keeping her school binder organized. Every time her teacher returns an assignment, Brianna puts it in the right section. Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.
Using equation, the number of math assignment is 69 .
How to use equation to find the number of math assignment?Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.
Using equation, the number of assignments in the math section of Brianna's binder can be calculated as follows:
She has 113 assignments in the history, science, and art sections combined.
Let x be the number of assignments that are in math section.
There are 182 assignments in total.
Therefore,
x + 113 = 182
subtract 113 from both sides of the equation
x + 113 = 182
x + 113 - 113 = 182 - 113
x = 69
Therefore, the number of math assignment is 69.
learn more on equation here: https://brainly.com/question/28366024
#SPJ1
[tex]3x-1=1/3(9x-5)[/tex]
Would you also help me find the answer for this one pls
a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Now,
Since, The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Let the average distance of Venus from the sun = x
So, We can formulate;
⇒ 57.9 = 3.8 + x/2
Solve for x as;
⇒ 57.9 = 3.8 + x/2
⇒ 57.9 - 3.8 = x/2
⇒ x/2 = 54.1
⇒ x = 54.1 × 2
⇒ x = 108.2
Thus, The average distance of Venus from the sun = 108.2 million kilometers.
Therefore, a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Write an algebraic expression for the following scenario in terms of total money saved:
“you start with $400 and save $100 a week”
Answer:
y = 100x + 400
Step-by-step explanation:
What we know:
- You started with 400
- You get 100 a week
What we need to find out:
- The equation or rate to know how much money acquired in specific time
Step 1 ( of 1 ): Equation
- if you let y represent the total of money you acquire then the equations starts as
y=
- Then we know that we get 100 a week so let x represent the amount of weeks so
y = 100x
- Lastly we know that we started with 400 so then we just add that to the equation to make it
y = 100x + 400
A state imposes a sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175.
Use the receipt shown to find the tax rate (as a percent).
The tax rate is _%.
Answer:
2.543%
Step-by-step explanation:
295x1.02543=$302.50
295+2.543%=302.50
Ok, I found out how to find complementary angles. But now I learned out how find supplementary angles. I have homework that is due tomorrow and I forgot my notes from today, someone please help me find this angle asap!
Answer:
∴ x = 5
Step-by-step explanation:
(18x)° = 180° - 90° (adjacent angles on a straight line)
18x = 90
∴ x = 5
Given the coordinates below, determine if ΔFGH and ΔJKL are congruent. If they are, give the reason, if they aren't choose "not congruent".
F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)
*enter your lengths to the NEAREST TENTH
FG =
GH =
FH =
JK =
KL =
JL =
Answer:
FG≅LJ
GH≅JK
HF≅KL
Step-by-step explanation:
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed by the debtor is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
Read more about compound interest at:
brainly.com/question/2455673
#SPJ1
a fifth grade teacher assumes that 30% of her students are late for class. if the teacher is correct, what is the probability that the proportion of late students in a sample of 449 students would differ from the population proportion by less than 5%? round your answer to four decimal places.\
Answer:
9
How I got the Answer:
We have,
p = 0.30
q = 1 - p = 0.70
n = 449
Here,
npq = 4449*0.3*0.7 = 9
MARK ME BRAINLIEST! I HELPED YOU PLEASE HELP ME!
logan is constructing a scaled model of his town. the city's water tower stands 40 meters high, and the top portion is a sphere that holds 100 , 000 liters of water. logan's miniature water tower holds 0.1 liters. how tall, in meters, should logan make his tower?
Answer:
0.4 m = 40 cm
Step-by-step explanation:
You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.
Scale factorThe scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.
This lets us write a proportion for the height of the model tower:
[tex]\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}[/tex]
Logan should make his tower 0.4 meters, or 40 cm high.
If I have a book that is 298 pages, and I read 20 pages a day, how long will it take me to read the entire book?
Also what is the formula to solve this problem problem!!
Answer:
Step-by-step explanation:
Given:
N₀ = 298 pages
N = 20 pages
You can apply the formula:
Number of days
D = [N₀ / N] + 1 = [298 / 20 ] + 1 =
= [14.9] + 1 = 14 + 1 = 15 day,
where the square brackets are the integer part of the number
If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.
Total pages in the book= 298
Total pages that I daily read= 20
Then it will take 15 days to read the entire book.
The formula for this problem:
The solution to this type of problem can be figured out with the help of unitary method.
20 pages of a book can be read in = 1 day
1 page of a book can be read in = 1/20 days
298 pages of a book can be read in = 1/20×298 days = 14.9 days
But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.
15 days it will take to read the entire book.
To know more about Unitary method:
https://brainly.com/question/22056199
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Answer:The answer would be the A
Step-by-step explanation:
Answer:
40x + 20y < 480
Step-by-step explanation:
the inequality: 40x + 20y <(with a line under the < sign)480
if two cards are drawn from a standard 52 deck of cards without replacement, what is the probability of getting a king on the second card, if the first card was a 10?
0.6% is the probability of getting a king .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability.A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Probability of K from full 52 card pack = 4/52 = 1/13
Probability of A from the remaining 51 cards = 4/51
“And" in probability means you Multiply.
1/13 x 4/51 = 4/663 = 0.6%
Learn more about probability
brainly.com/question/11234923
#SPJ4
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year. Which equation can be used to find the number of years, y, it will take for the population to reach 1,458 elk?
According to the equation it takes 6 years for the population to reach 1,458 elk.
Equation:
An equation is made up of two expressions connected by an equal sign. For example, 2x – 5 = 16 is an equation.
Given,
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year.
Here we need to find the equation that will shows the number of years, y, it will take for the population to reach 1,458 elk.
Let us consider n be the number of years take for the population to reach 1,458 elk.
So, according to the given question, we have written as,
f(n) = 2 x 3ⁿ
Here we know that the value of f(n) = 1458, then the equation is written as,
1458 = 2 x 3ⁿ
When we simplify this, then we get,
3ⁿ = 729
We know that, 729 = 3⁶,
Therefore, it can be written as,
3ⁿ = 3⁶
Therefore, it take 6 years for the population to reach 1,458 elk.
To know more about equation here.
https://brainly.com/question/10413253
#SPJ9
Kira and Hector each performed as soloists for a concert. Each person performed for the same amount of time. Kira sang three solos and played a piano piece. Hector sang 2 solos and played a piano piece that lasted twice as long as Kira's. Each of the solos Kira and Hector sang was 3.5 minutes long.
a. Define a variable and write an equation to represent the situation. Solve the equation and interpret the solution of your equation in the context of the situation.
b. How long did each student perform?
A variable can be any number or alphabet that may constantly vary and the equation to represent the given situation for Kira is (3x+y) and for Hector is (3x+z) where x is the time for solos and y and z are times for piano. The value of x and y is 3.5 minutes and that of z is 7 minutes.
According to the question,
We have the following information:
Each person performed for the same amount of time. Kira sang three solos and played a piano piece. Hector sang 2 solos and played a piano piece that lasted twice as long as Kira's. Each of the solos Kira and Hector sang was 3.5 minutes long.
Now, let's take time for solos to be x min and time for Kira's piano to be y min and that for Hector is z min.
So, we have the following equations:
Kira:
3x+y
Hector:
2x+z
Now, z = 2y
x = 3.5 minutes
Time is equal:
3x+y = 2x+z
3x+y = 2x+2y
3x-2x = 2y-y
x = y
y = 3.5 min
z = 2*3.5
z = 7 min
Hence, a variable can be any number or alphabet that may constantly vary and the equation to represent the given situation for Kira is (3x+y) and for Hector is (3x+z) where x is the time for solos and y and z are times for piano. The value of x and y is 3.5 minutes and that of z is 7 minutes.
To know more about time here
https://brainly.com/question/17752969
#SPJ9
In the accompanying diagram, parallel lines HE and AD are
cut by transversal BF at points G and C, respectively. If
mLHGF = 5n and m/BCD = 2n +66, find n.
The value of n is 22.
In this question, we have been given the parallel lines HE and AD are
cut by transversal BF at points G and C, respectively.
Consider the following diagram.
If m∠HGF = 5n and m∠BCD = 2n +66, we need to find n.
∠HGF and ∠BCD are alternate exterior angles.
We know that alternate exterior angles are congruent.
So, m∠HGF = m∠BCD
5n = 2n +66
5n - 2n = 66
3n = 66
n = 66/3
n = 22
Therefore, the value of n is 22.
Learn more about alternate exterior angles here:
https://brainly.com/question/2279752
#SPJ1
Brad and john met up for lunch when they were done brad traveled 6 blocks east and john traveled 4 blocks west how many blocks .away from brad was john
Answer:10 blocks
Step-by-step explanation: East And West are in a straight line
PLEASE NEED HELP ASAP
Answer:
-1
Step-by-step explanation:
The number never changes when you divide by 1. So -1/1=-1.
-Hope this helped
pls helpp!! ixl is so frustrating and i can't get this question wrong itll drop me like 20 points i don't understand this question
Answer:
oof try adding dem
Step-by-step explanation:
hope you git 20 points
6, what is the standard deviation of the residual values in the regression output. note that the residual values measure the difference between the observed values of the travel time in hours and the predicted values of the travel time in hours from the regression model.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
In the given question we have to explain the standard deviation of the residual values in the regression output.
Regression analysis is a statistical technique used to demonstrate the relationship between two different variables and to assess how well one variable can be predicted based on the behaviour of another.
The standard deviation of points surrounding a fitted line or the standard error of estimate are other names for residual standard deviation.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
To learn more about Regression analysis link is here
brainly.com/question/28298210
#SPJ4
what is the slope of the line passing through points (3,-1) and (-2,-5)
Answer:
the slope is 1
Step-by-step explanation:
x1,y1=(3,-1)
x2,y2=(-3,-5)
[tex]m = y2 - y1 \div x2 - x1[/tex]
-5--1/-3-3
-6/-6
m=-6/-6
simplify the fraction -1/-1
since 2 negatives = positive
m=1/1
simplify
m=1
These are the answer choices though
Answer:
[tex]m= -2\frac{1}{13}[/tex]
Step-by-step explanation:
2m-27/3=5m
x3. x3
2m-27=15m
-2m. -2m
-27=13m
/13. /13
-27/13=m
-2 1/13=m
Hopes this helps please mark brainliest
1/6x^2=1/2x+7/6x^2
Rational Equation
Answer: x = -2
Step-by-step explanation:
[tex]\frac{1}{6x^2} =\frac{1}{2x} +\frac{7}{6x^2}[/tex]
[tex]\frac{1}{6x^2} = \frac{3x}{6x^2} + \frac{7}{6x^2}[/tex] (work with common denominators)
[tex]\frac{1}{6x^2} = \frac{3x+7}{6x^2}[/tex]
[tex]1 = 3x + 7[/tex] (remove the 6x^2 because they'll cancel out when you cross multiply)
[tex]-6 = 3x[/tex]
[tex]-2 = x[/tex]
2. Question 3
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7Y?
A. -7
B. -3
C. 0
D. 4
Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 3 and crosses the y- axis at (0, - 7 ) ⇒ c = - 7
that is the y- intercept c = - 7
Mari cella has a bag containing 35 nickels and quarters. The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions
From the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.
As given in the question,
Let x represents the number of nickels
And y represents the number of quarters
Total number of nickels and quarters are 35
Total value of given coins = $2.50
Required equation for the given condition is:
x + y = 35 ___(1)
1 nickel = 0.05 dollars
1 quarter = 0.25 dollars
0.05x + 0.25y <2.50 ___(2)
Substitute x = 35 - y in (2) we get,
0.05 ( 35 - y ) + 0.25y < 2.50
⇒1.75 - 0.05y + 0.25y < 2.50
⇒ 0.2y < 2.50 - 1.75
⇒ 0.2y < 0.75
⇒ y < 3.75
Maximum number of quarters for the given condition is equal to 3.
Therefore, for the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.
Learn more about maximum number here
brainly.com/question/17991028
#SPJ9
