The term 9b represents the cost to rent a bike.
We have,
Rentals
Bike $9/h
Electric scooter $10/h
Kayak $18/h
Canoe $20/h
Paddleboard $22/h
Helmet Add $6
Here, the term 9b represents the cost to rent a bike.
In the provided rental options, the cost of renting a bike is $9 per hour.
The term "9b" indicates that the cost is calculated by multiplying the hourly rate of $9 with the number of hours (b) the bike is rented for.
Learn more about Expression here:
https://brainly.com/question/28170201
#SPJ1
What is the value of the expression
226 28
●
(25)6
-? Show your work.
The value of the expression 226²⁸ ● (25)⁶ is approximately [tex]4.1406562 \times 10^{119.[/tex]
To evaluate the expression 226²⁸ ● (25)⁶, we can follow the order of operations (also known as PEMDAS/BODMAS) which states that we should perform any calculations inside parentheses, then evaluate any exponents, and finally perform any multiplications or divisions from left to right.
Let's break down the expression :
Evaluate the exponent (25)⁶
[tex](25)^{6} = 25^{(6\times 1)} = 25^6 = 244,140,625[/tex]
Substitute the value into the expression:
226²⁸ ● 244,140,25.
Evaluate the exponent 226²⁸
[tex]226^{28} = 226^{(2\times28) = 226^{56 \\[/tex]
Now, calculating [tex]226^{56}[/tex] might not be feasible manually due to the large exponent.
However, we can use a calculator or a computer program to obtain the result.
[tex]226^{56} \approx 1.6951718 \times 10^{112[/tex]
Substitute the value back into the expression:
[tex]1.6951718 \times 10^{112[/tex] ● 244,140,625
Perform the multiplication:
[tex]1.6951718 \times 10^{112}\times 244,140,625 \approx 4.1406562 \times 10^{119[/tex] .
For similar question on expression.
https://brainly.com/question/25968875
#SPJ8
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 5 inches and had a height of 12 inches prior to being cut. What is the volume of the resulting part illustrated in the figure? A. 60 cubic inches B. 65 cubic inches C. 85 cubic inches D. 90 cubic inches
Given statement solution is :- The volume of the resulting part is approximately 267 cubic inches.
To find the volume of the resulting part, we need to calculate the volume of the larger cone and subtract the volume of the smaller cone.
The formula for the volume of a cone is given by:
V = (1/3) * π * [tex]r^2[/tex] * h
where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
For the larger cone:
Radius (r) = 5 inches
Height (h) = 12 inches
V_large_cone = (1/3) * π * [tex](5^2)[/tex] * 12
V_large_cone = (1/3) * π * 25 * 12
V_large_cone = (1/3) * π * 300
V_large_cone = 100π
For the smaller cone:
Radius (r) = 3 inches
Height (h) = 5 inches
V_small_cone = (1/3) * π * [tex](3^2)[/tex] * 5
V_small_cone = (1/3) * π * 9 * 5
V_small_cone = (1/3) * π * 45
V_small_cone = 15π
Therefore, the volume of the resulting part is:
V_resulting_part = V_large_cone - V_small_cone
V_resulting_part = 100π - 15π
V_resulting_part = 85π
Now, we can approximate the value of π as 3.14159:
V_resulting_part ≈ 85 * 3.14159
V_resulting_part ≈ 267.10715
Rounded to the nearest whole number, the volume of the resulting part is approximately 267 cubic inches.
For such more questions on volume of part
https://brainly.com/question/31211180
#SPJ8
Collect like terms
5z - 7 - 13z + 35
Collecting the like terms in the expression 5z - 7 - 13z + 35 gives -8z + 28
How to collect like terms on the expressionFrom the question, we have the following parameters that can be used in our computation:
5z - 7 - 13z + 35
Consider an expression given as
Ax + Bx
Where A and B are constants and x is a variable
The terms Ax and Bx are like terms
using the above as a guide, we have the following:
5z - 7 - 13z + 35 = 5z - 13z - 7 + 35
Evaluate the like terms
5z - 7 - 13z + 35 = -8z + 28
Hence, collecting the like terms gives -8z + 28
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
More can be learned about transformations in a figure at https://brainly.com/question/28687396
#SPJ1
(iv) MP= Rs. 26600, Discount-10%
The discounted price of the item would be Rs. 23,940.
To calculate the discounted price of an item, you can use the following formula:
Discounted Price = Original Price - (Original Price * Discount Percentage)
Given that the original price (MP) is Rs. 26,600 and the discount is 10%, we can calculate the discounted price as follows:
Discounted Price = Rs. 26,600 - (Rs. 26,600 x 0.10)
Discounted Price = Rs. 26,600 - Rs. 2,660
Discounted Price = Rs. 23,940
Therefore, with a 10% discount, the discounted price of the item would be Rs. 23,940.
Learn more about Discount Percent here:
https://brainly.com/question/31601724
#SPJ1
ACTIVITY 1 1.1 Resources required: ruler, protractor, compass and coloured pencils Step 1: Draw a horizontal line segment, OM, of any length, the longer the better. Step 1 Solution
The solution to the problem at hand i.e. to draw a horizontal line segment, OM, of any length, the longer the better using ruler, protractor, compass and coloured pencils
are as follows:
Step 1: Take a ruler and align it with a sheet of paper and draw a line. This line can be of any length, although longer lines are preferred.
Step 2: The line is now OM; we must now label its endpoints. Label the leftmost point O, and the rightmost point M.
Step 3: The coloured pencils are used to add decorations to the line. To add decorations, use coloured pencils to make patterns and stripes along the length of the line. This is entirely optional and based on personal preference.
Step 4: To ensure that the line is perfectly horizontal, the protractor should be used. Place the protractor on the line and make sure the zero-degree angle is at O. The line will be horizontal if it is parallel to the baseline of the paper.
Step 5: Using a compass, measure the length of OM to ensure that it is of the desired length.
To learn more about : solution
https://brainly.com/question/24644930
#SPJ8
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
Peggy designed a pond for her backyard. She'll surround
a square patio area with a round pond. Her design and
the scale she'll use to build the design are both shown
below.
It will cost $6 per square foot to dig out the pond portion
of the yard and $1.75 per square foot to build the patio
area.
Approximately how much will she spend constructing the
pond and patio in her backyard?
Scale
1 cm = 5 ft.
A $551.80
B $1,459
C
$2.575
2 cm
2 cm
Patio
4 cm
Pond
***||| theres another answer which is D. 7,111” but it got cutt off lol|||***
Answer:Peggy will spend approximately $363.52 constructing the pond and patio in her backyard. The correct answer is not provided among the options given (A, B, C).
Step-by-step explanation:
To calculate the cost of constructing the pond and patio in Peggy's backyard, we need to determine the areas of the pond and patio and then multiply them by their respective costs per square foot.
From the given scale, we can convert the dimensions of the pond and patio from centimeters to feet. According to the scale, 1 cm represents 5 ft.
Patio dimensions:
Width: 2 cm (2 cm * 5 ft/cm = 10 ft)
Length: 2 cm (2 cm * 5 ft/cm = 10 ft)
Area of patio = Width * Length = 10 ft * 10 ft = 100 ft²
Pond dimensions:
Width: 4 cm (4 cm * 5 ft/cm = 20 ft)
Length: 4 cm (4 cm * 5 ft/cm = 20 ft)
Area of pond = π * (Width/2)² = π * (20 ft/2)² = π * 10 ft² ≈ 31.42 ft²
Cost calculation:
Cost of pond = Area of pond * Cost per square foot = 31.42 ft² * $6/ft² = $188.52
Cost of patio = Area of patio * Cost per square foot = 100 ft² * $1.75/ft² = $175.00
Total cost = Cost of pond + Cost of patio = $188.52 + $175.00 = $363.52
The figure below is a square. Find the length of side x in simplest radical form with
rational denominator.
Answer: [tex]x=2\sqrt{5}[/tex]
Step-by-step explanation:
Detailed explanation is attached below.
One of the advantages to an employer of paying employees piece rate or commission is that the employee is paid based solely on their performance. What is one disadvantage of this type of pay?
One main disadvantage of piece rate or commission pay is low quality.
Piece rate payPiece rate or commision pay involves paying workers based on coverage or performance. This way the company is able to cut short excess salary especially for low performing workers.
However, a notable disadvantage of piece-rate pay is that it can lead to employees sacrificing quality for quantity. When employees are paid based on the number of units they produce, they may be tempted to produce low-quality products in order to meet their quotas. This can damage the company's reputation and lead to customer dissatisfaction.
Therefore, piece rate pay will often lead to quality reduction.
Learn more on commision ; https://brainly.com/question/1024047
#SPJ1
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Convert the angle pi/3 radians to degrees.
Answer:
60 degrees
Step-by-step explanation:
To convert radians to degrees, multiply by 180/pi
pi/3 * 180/pi = 180/3 = 60 degrees
Step-by-step explanation:
3 radians =
171.887 degrees
AreaData Transfer RateDigital StorageEnergyFrequencyFuel EconomyLengthMassPlane AnglePressureSpeedTemperatureTimeVolume
ArcsecondDegreeGradianMilliradianMinute of arcRadian
ArcsecondDegreeGradianMilliradianMinute of arcRadian
Formula
3rad × 180/π = 171.887°
Andrea has a jug that holds 1.5 liters of chocolate milk. She fills one container with 250 milliliters and another container with 0.6 liters. How much chocolate milk is left in the jug in milliliters?
0.65 mL
249.1 mL
450 mL
650 mL
Answer:
correct answer is 650ml
Square root square for cube rootMcmfelssmmxemkwkwvgg. Guggenheim
The square root of the number 32 and the values of the perfect squares before and after 32 indicates;
5 < √(32) < 6
What are the methods for calculating the square root of a number?The square root of a number can be calculated by using the following methods; 1. Estimation, 2. Longhand method, 3. Calculator, and 4. Newton method.
The square root of 32 is; √(32) ≈ 5.66
Therefore, the value of the square root of 32 is between 5 and 6, and we get;
The square root of 32 is between the square root of 25 = 5², and the square root of 36 = 6², and the completed inequality can be expressed in the form;
5 < √(32) < 6
Learn more on the square root of a number here: https://brainly.com/question/17949931
#SPJ1
Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
Please help! I need to get this done by midnight
The number of students taking all three languages would be 1 student. The number of students taking none of the languages are 32.
How to find the number of students ?The total number of students taking each language is given so the number of people taking these languages are:
15 + 14 - X + X = 30
X = 1
So, there is 1 student taking all three languages.
For the students taking none of these languages:
Total students - students taking at least one language = students taking none of these languages.
= 100 (total students) - (53 ( taking only one language ) + 14 ( taking Arabic and Bulgarian ) + X (taking all three languages))
= 100 - 53 - 14 - 1
= 32 students
Find out more on students at https://brainly.com/question/14212677
#SPJ1
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
What is the sign of -xy? A:Positive B:Negative or C:Zero
The sign of -xy cannot be determined without knowing the signs of x and y. It can be positive, negative, or zero.
The signs of x and y influence the sign of -xy. A positive result is produced when multiplying two numbers with the same sign (both positive or both negative), while a negative result is produced when multiplying two numbers with opposite signs (one positive and the other negative). Their product is 0 when either one or both of the values are zero.
Therefore, depending on the signs of x and y, the sign of -xy can be positive, negative, or zero.
-xy is negative if x and y are both positive.
-xy is positive if x and y are both negative.
Regardless of the sign of the other number, if either x or y is zero, then -xy is also zero.
For such more questions on positive
https://brainly.com/question/29544326
#SPJ8
What is the area of sector GPH?
The area of sector GPH is square yards.
(Type an exact answer in terms of .)
P
G
15 yds
80°
H
Q
O
www
Answer:
i want to say it is 50[tex]\pi[/tex] square yards but i'm not entirely positive let me double check and i'll submit another answer
Step-by-step explanation:
although i can't promise this is correct, i can try my best to explain how i got to the answer i did in case that might help you determine if you want to use it.
formula for finding the area of a circle sector is (theta/360) x [tex]\pi[/tex][tex]r^{2}[/tex]
if you insert these things, it's just simplifying the problem after that.
we know what theta is (80 degrees) since the subtended angle is the same as the measure of the arc because it is a central angle, and those always correspond with each other. and we also know our radius because it connects the center of the circle to the outer edge. it is 15 yards.
so then we have (80/360) x [tex]\pi\\[/tex] x (15)^2
essentially, what you're going to do is break down the problem from there. simplify 80/360 to 2/9 and multiply it by pi and then by 15 squared (which is 225).
you will get 450[tex]\pi[/tex]/9 which, when simplified, is 50[tex]\pi[/tex]
i really hope this helps you at some sort of capacity.
a) What fraction of an hour is 40 minutes, in its simplest b) I sleep 8 hours a night. What fraction of a day is this? c) How many hours is of a day? How many hours is 1 5 pond of her n
a) The value of fraction is,
⇒ 2 / 3
b) The value of fraction is,
⇒ 1 / 3
c) There are 24 hours in a day.
Now, We can simplify all the fraction as,
a) To find fraction of an hour is 40 minutes,
Since, 1 hour = 60 minutes
Hence,
⇒ 40 / 60
⇒ 4 / 6
⇒ 2 / 3
b) Since, 1 day = 24 hours
Hence, we get;
⇒ 8 / 24
⇒ 1 / 3
c) We know that,
⇒ 1 day = 24 hours
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ1
The sum of 18 and a number, x, equals negative 40. Part A Which equation represents this situation? x-18=-40. x-18-40 18+x=-40. 18 + x = 40
Answer:
18+x = -40
Step-by-step explanation:
The sum of 18 and a number x is translated to "18+x"
Equals means "="
Negative forty is "-40"
Put them all in order and you get 18+x = -40
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
Learn more about weight:https://brainly.com/question/31659519
#SPJ1
-4 over 5 + 1 over 10
Answer: -0.7
Step-by-step explanation:
Solve for x: 2(4-x)-3(x+3)=-11
Answer:
x=2
Step-by-step explanation:
I don’t really have an explanation, it was all mental math
Answer:
[tex]\sf x=2[/tex]Step-by-step explanation:
[tex]\sf 2(4-x)-3(x+3)=-11[/tex]
Expand:-
[tex]\sf 2\left(4-x\right)-3\left(x+3\right)[/tex][tex]\sf 8-2x-3\left(x+3\right)[/tex][tex]\sf 8-2x-3x-9[/tex][tex]\sf -5x-1[/tex][tex]\sf -5x-1=-11[/tex]Now, add 1 to both sides:-
[tex]\sf -5x-1+1=-11+1[/tex][tex]\sf -5x=-10[/tex]Divide both sides by -5:-
[tex]\sf \cfrac{-5x}{-5}=\cfrac{-10}{-5}[/tex][tex]\sf x=2[/tex]Therefore, the value of x is 2!
- - - - - - - - - - - - - - - - - - - - - -
Hope this helps!
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
Learn more about the surface area of revolutions here:
https://brainly.com/question/32268747
#SPJ1
Suppose you went to the doctor and the co-pay each visit is 25$, and the price for each round of the shots is $135.
If you went to the doctors 3 times a week for 2 months straight, Can you tell me how much you spent in total for them visit? Also, you only receive the shot 2 times out of the visit.
(visit)1=25 3x25=75 '' 8weeks within 2 months'' =co-pay
8x75=600$
2x8=16
16x135=2,160$ = shots
Trivia Question ?:) on a average how much did she spend each visit ?
Given statement solution is :- On average, she spent approximately $115 per visit.
To calculate the total amount spent on the visits, we need to add up the co-payments and the cost of the shots.
Co-payments:
The co-pay for each visit is $25, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total co-payment is:
3 visits/week * $25/visit * 8 weeks = $600.
Shots:
You received the shot 2 times out of each visit, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total cost of the shots is:
2 shots/visit * $135/shot * 8 weeks = $2,160.
Total amount spent:
Co-payments + Shots = $600 + $2,160 = $2,760.
Therefore, the total amount spent for the visits and shots over 2 months is $2,760.
Trivia Answer:
To find out the average amount spent per visit, we can divide the total amount spent by the total number of visits. In this case, the total amount spent is $2,760, and the total number of visits is 3 visits/week * 8 weeks = 24 visits.
Average spent per visit = Total amount spent / Total number of visits
Average spent per visit = $2,760 / 24 visits
Average spent per visit ≈ $115.
Therefore, on average, you spent approximately $115 per visit.
For such more questions on Total spent on doctor's visits
https://brainly.com/question/21946298
#SPJ8
George and Manuel had a roofing business George as owner of the materials received $3 for every $2 manual received on a job that paid $750 what amount did each receive
Manuel received $187.50, and George received $562.50 for the job.
Let's break down the information provided:
The job paid a total of $750.
George received $3 for every $2 that Manuel received.
To determine the amounts George and Manuel received, we can set up a ratio based on their earnings.
Let's assume Manuel's earnings as the base amount:
George's earnings : Manuel's earnings = $3 : $2
We can set up the following equation to solve for Manuel's earnings:
(Manuel's earnings / Manuel's earnings) = ($2 / $2)
Since the ratio is equivalent, we can say:
George's earnings / Manuel's earnings = $3 / $2
To find the amount each person received, we'll assign a variable to Manuel's earnings. Let's call it "x."
Therefore, George's earnings can be represented as "3x."
According to the given information, their total earnings should sum up to $750:
x + 3x = $750
Combining like terms, we have:
4x = $750
To solve for x, we divide both sides by 4:
x = $750 / 4
x = $187.50
Now, we can determine the amounts each person received:
Manuel's earnings = x = $187.50
George's earnings = 3x = 3 * $187.50 = $562.50
Therefore, Manuel received $187.50, and George received $562.50 for the job.
Learn more about equations click;
https://brainly.com/question/29538993
#SPJ1
What is the remainder when the following polynomial division is performed? Place the answer in the proper location of the gird. Do not include parentheses in your answer.
The remainder of the polynomial division [tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}[/tex] is 2y²
How to determine the remainder of the polynomial divisionFrom the question, we have the following parameters that can be used in our computation:
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}[/tex]
When the numerator is expanded, we have
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}[/tex]
Split the expanded expression
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}[/tex]
Evaluate
[tex]\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}[/tex]
From the above, we have
Quotient = y - 1
Remainder = 2y²
Hence, the remainder of the polynomial division is 2y²
Read more about polynomial division at
https://brainly.com/question/7693326
#SPJ1
Mathematicias pls help me ples
This problem is relatively simple. Before we begin, it might be beneficial to imagine the graph as a vertical number line. Imagining it this way makes it easy to count the units between them and gives you the answer: [tex]$\boxed{4}$[/tex].
Here's a slightly more advanced way to think about it:
The example question tells us to subtract the distance between the two points. The formula for this is [tex]\sqrt{\big{(}(x_{2}-x_{1})+(y_{2}-y_{1})\big{)}^2[/tex], but for this question, let's say that it is [tex]\sqrt{(y_{2}-y_{1})^2[/tex], or, to simplify it even more, [tex]$|y_{2}-y_{1}|$[/tex]. Now that we know the formula, we can substitute our y-values into the last formula and solve. Let's say that Point C is our first point and Point D is our second.
[tex]\big{|}(-8)-(-4)\big{|} = \big{|}-8+4\big{|} = \big{|}-4\big{|} = \boxed{4}[/tex] , so [tex]$4\text{ units}$[/tex] is our answer.
Disclaimer: Neither of the last two formulas I provided is the actual formula, just a version of the Distance Formula that might be easier to understand. The first formula is the actual thing, but you will encounter this in math later in life, probably around 8th or 9th grade.
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ1