Answer:
I hope that helps!
x = -4
Find the perimeter and the area of the figure. Round answers to the nearest tenth.
Composite shape formed by a rectangle and two semicircles. Each semicircle has a diameter of 15 feet and is aligned with the length of the rectangle. The rectangle has a width of 4 feet.
perimeter: about
ft
area: about
ft²
The answer of the given question based on the circle and rectangle is , the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
What is Perimeter?Perimeter is a measurement of the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is often measured in units of length, such as centimeters, meters, or feet.
To find the perimeter and area of the composite shape formed by a rectangle and two semicircles, we can break it down into its individual components and then add them up.
First, let's find the perimeter. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The perimeter can be calculated as:
Perimeter = 2 × (semicircle circumference) + rectangle perimeter
The circumference of circle is by the formula 2πr, where r is the radius. Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the circumference of each semicircle is:
C = 2πr = 2π(7.5) = 15π feet
The perimeter of the rectangle is simply the sum of its four sides, which is:
P = 2(length + width) = 2(15 + 4) = 38 feet
Putting it all together, we have:
Perimeter = 2 × 15π + 38 ≈ 83.8 feet
Now let's find the area. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The area can be calculated as:
Area = (semicircle area) + rectangle area
The area of a circle is given by the formula πr². Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the area of each semicircle is:
A = (1/2)πr² = (1/2)π(7.5)² = 44.18 feet²
The area of the rectangle is simply its length multiplied by its width, which is:
A = length × width = 15 × 4 = 60 feet²
Putting it all together, we have:
Area = 2 × 44.18 + 60 = 148.4feet²
Therefore, the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
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how would I find the equation of this graph
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
Will Give Brainliest if Answered Correctly look at picture
The additional jump in inches that John must make to beat the record is
5 1/4 inches
How to find the height in inches required to break the recordThe problem is solved by converting the given dimensions in ft to inches
conversion to inches is solved using
12 inches = 1 ft
The record jump is
= 23 feet 1 3/4 in
= 23 * 12 + 1 3/4 in
= 276 + 1 3/4
= 277.75 in
John's best long jump
= 22 ft 8 1/2 in
= 22 * 12 + 8 1/2 in
= 264 + 8 1/2
= 272.5 in
John's additional jump
= record jump - John's best long jump
= 277.75 - 272.5
= 5.25 in
= 5 1/4 in
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Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Look at this table, X W 11 1 10 3 13 -17 17 Is this relation a function? yes or no
Write the following as an algebraic expression. Simplify if possible.
Subtract 5x−2 from x−1.
Answer:
The algebraic expression for "Subtract 5x−2 from x−1" is:
(x - 1) - (5x - 2)
Simplifying this expression:
x - 1 - 5x + 2
= -4x + 1
Therefore, the simplified algebraic expression is -4x + 1.
(5+x)² = ?
Help please.
Answer:i belive it is 25+10x+x to the second power
Step-by-step explanation:
I simplified
\(\qquad \qquad\huge \underline{\boxed{\sf Remarkable\ products}}\)
➯ According to me, what I was taught algebra would be like this: ↓\({\boxed {\bold {(5+x)^{2} =}}}}}\)
\({\boxed {\bold {5^{2}+2*5x+x^{2}=}}}}}\)
\({\boxed {\bold {25+10x+x^{2}}}}}}\) ✔ ➥ I hope I have helped you, greetings!\(\red{\large{ \pmb{ \underline{ \underline{\bf{Atte:\ TheGirlSad}}}}}}\)
a coat is on sale for $65. if the sale price is two-fifths off the regular price, what is the regular price of the coat?
Listed are 30 ages for Academy Award-winning best actors in order from smallest to largest.
12 14
22 23
35 37
15 20 21
26 28
38 39
47 52
53 55
58 60
61 66 70
72 73 75 78 79
784854
34
40
Find the percentile for age 40.
Answer:
Step-by-step explanation:
12 14 33 35========1,234,000,124,581.
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Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
Answer:
Second one
Step-by-step explanation:
The first line has a negative slope, that is means that it decreases (we have to watch the graph from left to right)
6 is the point where it Intercepts the y axis
For now we can say that only the second and the fourth graph can be correct
The second line has a positive slope, so it increases (we have to watch the graph from left to right)
-3 is the point where it intercepts the y axis
the second graph shows what we want
A rectangular paperboard measuring 21 in long and 16 in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the paperboard remaining after a semicircle is cut out of it is 235.52 in².
What is area?The area is the amount of space within the perimeter of a 2D shape.
To calculate the area of the rectangular board that remain, we use the formula below.
Formula:
A' = lw-[πr²/2]............. Equation 1Where:
A' = Area of the paperboard leftl = Length of the paperboardw = width of the paperboardr = Radius of the semi circleFrom the question,
Given:
l = 21 inw = 16 inr = 16/2 in = 8 inπ = 3.14Substitute these values into equation 1
A' = (21×16)-(3.14×8²/2)A' = 336-100.48A' = 235.52 in²Hence, the area of the paperbaord left is 235.52 in².
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Simplify: Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot
The solution of the given expression is 9*\(x^{4}\)/100.
GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).
We have to simplify the expression in which variable comes only once.
Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.
The given fraction is 27\(x^{12}\)/300\(x^{8}\).
When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.
=27\(x^{4}\)/300
Now divide numerator an denominator by 3.
=9\(x^{4}\)/300
Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.
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Answer:
\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)
\(O \frac{9}{100}x^{4}\)
✔ \(\frac{3}{10} x^{2}\)
\(O \frac{27}{300} x^{4}\)
\(O\frac{9}{10} x^{2}\)
find the difference of 2-(-2)
Answer:
2-(-2)= 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Step 1: Write out your equation
2-(-2)
Step 2: Simplify
Two positives make a negative so this makes our equation
2+2
Step 3: Solve
2+2=4
Hence, the correct answer is 4.
Si 10 obreros construyen un consultorio médico en 12 dias.¿Con cuántos obreros se hará la misma obra en 15 dias?
A total of 8 workers are required for a building time of 15 days.
How many workers are needed to complete a building?
In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:
n ∝ 1 / t
n = k / t
Where k is the proportionality ratio, which can be eliminated by building the following formula:
n₁ · t₁ = n₂ · t₂
If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:
n₂ = n₁ · (t₁ / t₂)
n₂ = 10 · (12 / 15)
n₂ = 10 · (4 / 5)
n₂ = 8
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Carlos and his mom went out on a bike ride. They rode 5/8 of a mile to the park and then rode 5/8 of a mile back home. How far did they ride in all?
Using the distance, 5/4 far distance that they ride in all.
In the given question,
Carlos and his mom went out on a bike ride.
They rode 5/8 of a mile to the park and then rode 5/8 of a mile back home.
We have to check how far did they ride in all.
We have to find the total distance that he ride to park and from the park.
We can find the total distance by adding the whole distance that he ride.
Total distance = Distance to the park + Distance back home
Total distance = 5/8+5/8
Since the denominator is same. So
Total distance = (5+5)/8
Total distance = 10/8
Now simplifying.
Total distance = 5/4
Hence, 5/4 far distance that they ride in all.
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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.
The solution to the given equation is ( 8 , 1 )
Given data ,
To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:
x - 3y = 5: 8 - 3(1) = 5, which is true
y = x - 7: 1 = 8 - 7, which is true
Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:
Hence , (8, 1) is a solution to both equations, so it is a solution to the system
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PLEASE HELP ME I WAS SICK AND I DONT UNDERSTAND.DUE IN 1 HOUR!!!!
Answer:
x=11
Step-by-step explanation:
The inside(interior) angles of a triangle must add up to 180 degrees. A line is 180 degrees, so the angle GFH (the measure of the acute angle at point F) would be 180-(11x+1)
Now we have information on all 3 angles of the triangle; they must sum up to 180, so add all of these equations together
180-(11x+1) = 179-11x
Add this to 3x+19 and 70 gives 268-8x=180
Solving this equation for x we get -8x=180-268
-8x=-88
x=11
Hoped this helped and I hope you feel better!
Answer:
11°
Step-by-step explanation:
Here,
∠FGH=3x+19
∠GHF=70°
∠QFG=11x+1
Now,
11x+1+∠GFH=180[Sum of a straight line is 180°]
∴∠GFH=179-11x
Again,
∠GFH+∠GHF+∠FGH=180[Sum of all angles of a triangle is 180]
179-11x+70+3x+19=180
-11x+3x=180-179-70-19
-8x=-88
∴x=11°
SKIPPYTHEWALRUS U CAN'T ANSWER THIS QUESTIONI NEED CORRECT ANSWER 100 POINTS ONLY ANSWER CORRECTLY
A line passes through the points (7,9) and (10,1). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
y - 1 = -8/3(x - 10)
also valid:
y - 9 = -8/3(x - 7)
Step-by-step explanation:
Point-slope equation is a fill-in-the-blank formula that is sort of a shortcut for writing the equation of a line. Point-slope is named that bc you fill in a point and the slope.
Point-slope Eq:
y - Y = m(x - X)
fill in the slope for the m and fill in any point on the line for the X,Y.
First slope:
Slope is y-y over x-x
9-1 / 7-10
= 8/ -3
= -8/3
So slope is -8/3 fill that in for the m.
y -Y = -8/3(x-X)
Pick one of the points (either one it totally doesn't matter)
Let's use (10,1)
fill in 10 for X and 1 in place of Y.
the y in the very front stays a y and the first x in the parentheses stays an x, so there will be two variables in your completed answer.
y - 1 = -8/3(x - 10)
make sure the parentheses on the right is beside the -8/3 fraction and is NOT written on the bottom, beside the 3 only.
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Mike is saving up for a bike. He is saving up $785. He has 635 and needs to spend 356 for food for his graduation party. How much will he have once he buys food and how much more will need for his bike.
A 278 Left & 567 More
B 423 Left & 821 More
C 279 Left & 506 More
D 144 Left & 296 More
Answer: C
Step-by-step explanation:
635 - 356 = 279
279 + 506 = 785
$785
What’s the slope of these points (-8,3) and (-8,2)
Answer:
donkeey kongy
Step-by-step explanation:
Anybody know dis answer
Answer:
the third one? A is perpendicular..
Step-by-step explanation:
Which number is IRRATIONAL?
Answer:
A
Step-by-step explanation:
because no square root in in 12
Answer:
\(\sqrt{12}\)
If a square root is not a perfect square, then it is an irrational number
\(ANSWER =\\\sqrt{12} \\\\=2\sqrt{3}\)
Step-by-step explanation:
PLEASE HELP ME Step 1: Preparing for the Future
In this Activity, you’ll complete a simulation designed to introduce you to some of the things you’ll need to keep in mind when hunting for an apartment. Then, based on your future plans, housing preferences, and experiences in the sim, you’ll conduct a mock housing search for yourself.
Step 2: Knowledge Matters: Simulation
Compete the Knowledge Matters simulation: “Finding an Apartment.”
Once you’ve completed the simulation, think for a bit about how you envision your life when you will be first living on your own and renting a place. This could be immediately after high school, sometime after living in college dorms, or even more distantly in the future. Where do you see yourself working and/or studying? Use those specific addresses to center your own apartment search later in this Activity. For example, if you think you will live in a dorm while studying computer engineering, then going on to work for a big tech company, you’d probably consider living in Seattle, Redmond, or San Francisco.
Step 3: What Are YOUR Priorities?
In the sim, you took on the role of a student with a prescribed budget, access to bus and car transport, and a specific schedule. However, it’s quite likely that you have different needs and goals! Before you pick an apartment in the real world, it’s important to think about what is most important to you when choosing an apartment. In a word processing document, make a list of housing priorities, considering things like:
Overall costs/budget sensitivity.
Transportation preferences—walking, public transportation, ride shares, biking, a personal automobile, etc. Keep in mind that some of the options require extra consideration, such as a place to park a car or securely store a bike.
Living alone versus living with roommates.
Feeling secure in your housing.
Pet-friendliness.
Hobby considerations (for example, competitive gamers probably want to live in an area with high-speed internet, while a nature lover might want to live near a park).
Weather and related considerations (not all apartments have air conditioning).
Other location concerns (needing to live near a relative, e.g.).
Then, write a prospective schedule for yourself when you do move into an apartment. Will you need to balance school and work? How much sleep do you need to feel well-rested? Do you need to schedule time for cooking, or do you plan to live off of pre-prepared meals? Create a schedule for a typical weekday like you saw in the sim.
Step 4: Finding an Apartment
Now that you’ve got your priorities in order and know your schedule, it’s time to find a place to live! Based on the area you plan to live and work/study in, search for living arrangements that will meet your needs. While in the sim you were restricted to apartments, feel free to look at other rental options. You can use sites like Craigslist, rent.com, apartments.com, or websites that cater to specific locations in your search.
Just like for the sim, start with the cheapest apartment that allows you to meet your schedule and note the price and location. Then, find an apartment that meets your holistic needs (as determined by your personal list) and note its final price and location.
Finally, write a paragraph of reflection about the experience. Your reflection should include things like:
What you learned from the sim.
What it was like creating a priority list.
If you were surprised by the difference in price between the bare-minimum acceptable apartment and the living arrangements that you would prefer.
If this Activity changed how you will think about apartment hunting in the future.
Your feelings about the Activity overall—was it stressful? Exciting? Inspiring? Dispiriting?
Step 5: What to Submit
Your submission for this Activity is a word document containing:
Your list of priorities for apartment hunting.
Your weekday schedule.
Information on the cheapest and ideal apartments for your hypothetical future.
A paragraph of reflection on the experience of apartment hunting.
The things to keep in mind when hunting for an apartment include location, rents and fees, amenities, etc.
What are the things to keep in mind?Location: Consider the neighborhood and proximity to transportation, amenities, and schools.
Rent and Fees: Compare the rent and any additional fees such as utility costs, parking, and pet fees.
Amenities: Determine what amenities are important to you and if the apartment building or complex offers them.
Size and Layout: Consider the size of the apartment and the layout of the rooms to determine if it will meet your needs.
Safety and Security: Research the safety and security of the building and surrounding area.
Landlord and Maintenance: Look into the reputation of the landlord and the maintenance team to ensure they are responsive and reliable.
Lease Terms: Review the lease terms, including length of the lease, renewability and move-out policies.
Pets Policy: Check if the landlord allows pets if you have one or planning to adopt one.
It is also recommended to visit the apartment in person before signing a lease and to check for any potential issues such as leaks or pests.
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A student is training for the track team during the first three months of the year by
running for 30 minutes every day, while averaging 5 miles each day. Select the graph
that correctly shows the total miles the student ran during the time of his training
program.
1)
Hous
500
2)
200
Hours
10
23
8
50
3)
Answer:
uhhh
Step-by-step explanation:
Answer:
This question is to perfect to answer.
Find x if: 36 divided by (x-3)=4
Answer:
The value of x is 12.
Step-by-step explanation:
A linear equation is given to us and we need to find the value of x . Taking the given equation ,
⇒ 36/ (x - 3) = 4
⇒ 36 = 4( x - 3)
⇒ 36 = 4x - 12
⇒ 4x = 36 + 12
⇒ 4x = 48
⇒ x = 48/4
⇒ x = 12 .
Verification :-
LHS = 36/ ( x - 3 )
= 36 / ( 12 - 3)
= 36 / 9
= 4
RHS = 4
Since RHS = LHS .
Hence verified !
★ The value of x is 12 .The value of x is 12.
What is an equation?Statement of equality between two expressions consisting of variables and/or numbers.
Given an equation, 36 divided by (x-3)=4
36/ (x - 3) = 4
36 = 4(x - 3)
36 = 4x - 12
4x = 36 + 12
4x = 48
x = 48/4
x = 12
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Which value of k makes the equation k/2 = 10 true?
(A) 20
(B) 12
(C) 8
(D) 5
Answer:
Step-by-step explanation:
Melonie, k = 2*10, is another way to look at this
I think you can get the answer now
k = 20 , if you're not sure
Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3. Include
your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y= 2x -6
Step-by-step explanation:
The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.
To find the equation of a line, two information are needed:
Slope (given/ calculated)A pair of coordinatedGiven that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:
y= 2x +c
Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.
2x -3y= 6
When x= 3,
2(3) -3y= 6
6- 3y= 6
3y= 6 -6
3y= 0
Divide both sides by 3:
y= 0
Coordinate that lies on the graph is (3, 0).
Substitute the point into the equation and solve for c:
y= 2x +c
When x= 3, y= 0,
0= 2(3) +c
0= 6 +c
c= -6
Substitute the value of c back into the equation:
Thus, the equation of the line in slope-intercept form is y= 2x -6.
Additional:
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To find the distance between the points shown we subtract each point and the x-axis
What is the distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2– x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Since the two points are on the same coordinate on the x -axis
To find the distance between the two points we subtract the y coordinates of the two points and the x axis.
In conclusion the distance between the two points is found by subtracting the two points and the x -axis
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Select the table that represents a proportional relationship between x and y.
Answer:
bro theres nothing there
Step-by-step explanation: