Answers
Answer:
If the area of the square office is 148 ft², then the length of one side can be found by taking the square root of the area: √148 ≈ 12.17
So the length of one side of Joseph's office is closest to B.) 12 feet
Answer:
12 ft
Step-by-step explanation:
Area of square = S²
We Know
He used a 148 ft² carpet.
Which length of one side of Joesph's office is in feet?
We take
√148 ≈ 12 ft
So, the answer is 12 ft
Related Questions
farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a mathematician, she suggests building fences described by and . farmer jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. what is the area of the enclosed region?
Answers
The area of enclosed region is 18 square units by equation of curve y= 5x² and y =x² +9 with application of integration.
Dr.Jones decides to build a fence as represented by the given two equations,
y =5x² ___(1)
and y= x² + 9 ___(2)
To find the point of intersection of the two equations we equate (1) and (2) as,
5x² = y = x² -9
⇒ 5x² = x² -9
⇒ 9 -4x² = 0 ___(3)
⇒ 4x² = 9
⇒ x² = 9/4
Taking square roots on both the sides we get,
⇒ x = ± 3/2
Thus the interval in which value of x ( as length of fence) lies is (-3/2 , 3/2).
Therefore, we can calculate the area enclosed region by equation (1) and (2) with the formula of integration,
Area= integration of equation (3) in interval (-3/2,3/2) = [tex]\int\limits^a_b {9-4x^2} \, dx[/tex]
where, a =3/2 and b =-3/2
=[ 9*(3/2) - (4/3)*(3/2)³] - [ 9*(-3/2) - (4/3)(-3/2)³ ] sqaure units
= 18 square units
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The given question is incomplete, the complete question is
"Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y=5x^2 and y=x^2+9. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?"
Three softball players discussed their batting averages after a game.
Probability
Player 1 four sevenths
Player 2 five eighths
Player 3 three sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answers
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1). Then the correct option is B.
Given that:
P(Player 1) = 4/7 = 0.57
P(Player 2) = 5/8 = 0.625
P(Player 3) = 3/6 = 0.50
The probabilities are arranged in ascending order as,
P(Player 3) < P(Player 1) < P(Player 2)
Player 2 is more likely to hit the ball than Player 1 and Player 1 is more likely to hit the ball than Player 3.
Thus, the correct option is B.
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A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
Answers
The area of the tile shown is 42.5 [tex]cm^2[/tex]. So, the correct option is (c) 42.5 [tex]cm^2[/tex].
What is area of triangle?
The area of a triangle can be calculated using the formula:
A = (1/2)bh
where A is the area of the triangle, b is the length of the base of the triangle, and h is the height of the triangle.
To find the area of the quadrilateral, we need to split it into two triangles and a rectangle.
First, we find the area of the rectangle: 5 cm × 6 cm = 30 [tex]cm^2[/tex].
Next, we find the area of the left triangle: (1/2) × 5 cm × 3 cm = 7.5 [tex]cm^2[/tex].
Finally, we find the area of the right triangle: (1/2) × 5 cm × 2 cm = 5 [tex]cm^2[/tex].
Adding up the areas of the two triangles and the rectangle, we get:
30 [tex]cm^2[/tex] + 7.5 [tex]cm^2[/tex] + 5 [tex]cm^2[/tex] = 42.5 [tex]cm^2[/tex]
Therefore, the area of the tile shown is 42.5 [tex]cm^2[/tex].
So, the correct option is (c) 42.5 [tex]cm^2[/tex].
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The park manager wants to make a timetable for buses and minibuses leaving the park at different times of the day from 8:00am to 5:00pm. Buses and minibuses leave the park at intervals of 40mins and 50mins respectively after loading. Both vehicles start loading at the same time. Task. Help the park manager to; draw a departure timetable for the 2 vehicles from 8:00 to 5:00pm. Identify any time of the day when the two vehicles will leave the park at the same time. How can traffic jam be controlled
Answers
The time of the day when two vehicles will leave park at same time is 11:20 a.m.
Traffic can be controlled by adjust the departure times, use a reservation system, limit the number of vehicles , and promote carpooling.
To create the departure timetable,
Start by listing the times at which the first bus and minibus will leave the park.
From there, add 40 and 50 minutes respectively to each departure time to find the next departure time for each vehicle.
Here is the timetable,
Departure time Bus interval Minibus interval
8.00 a.m. 40min 50min
8.40 a.m. 40min 50min
9.20 a.m. 40min 50min
10.00 a.m. 40min 50min
10.40 a.m. 40min 50min
11.20 a.m. 40min 50min
12.00 p.m. 40min 50min
12.40 p.m. 40min 50min
1.20 p.m. 40min 50min
2.00 p.m. 40min 50min
2.40 p.m. 40min 50min
3.20 p.m. 40min 50min
4.00 p.m. 40min 50min
4.40 p.m. 40min 50min
To identify any time of the day when the two vehicles will leave the park at the same time.
When the time of the intervals of the two vehicles overlap.
The least common multiple LCM of 40 and 50 is 200.
The two vehicles will leave the park at the same time every 200 minutes, or 3 hours and 20 minutes.
The first time this happens is at,
8:00am + 200 mins = 11:20am
So, at 11:20am both vehicles will leave the park at the same time.
To control traffic jam the park manager can consider the following strategies,
Adjust the departure times,
If the departure times are causing congestion,
The manager can adjust the intervals or the departure times to spread out the flow of vehicles.
Use a reservation system,
The manager can use a reservation system to stagger the departure times of the vehicles.
Ensuring that there are no backlogs at the loading area.
Limit the number of vehicles,
The manager can limit the number of vehicles that are allowed in the park at any given time.
To reduce the number of vehicles on the road and prevent congestion.
Promote carpooling,
The manager can encourage visitors to carpool to the park to reduce the number of vehicles on the road.
This can be done through promotional campaigns or by offering incentives for carpooling.
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Help pls fast!!!
The surface area of the threedimensional fugire is Square centimeters
Answers
Answer: 536.6 cm²
Step-by-step explanation:
Area for 3 rectangles = bh*3
=(10)(15)(3) = 450
Area for 2 triangles = 1/2 bh *2
= 1/2 10*8.66*2
=86.6
Total area = 86.6+450=536.6
A farmer has 1,440 feet of fencing available to enclose a rectangular
area bordering a river. No fencing is required along the river. Let x
represent the length of the side of the rectangular enclosure that is
perpendicular to the river. Complete parts a. through c.
The length of the side of the rectangle perpendicular to the river is
c. What is the maximum area?
X
The maximum area is
River
a. Create a function, A(x), that describes the total area of the rectangular enclosure as a function of x, where x is the lem
A(x)=
(Simplify your answer.)
b. Find the dimensions of the fence that will maximize the area.
...
and the length of the side of the rec
Answers
Step-by-step explanation:
Maximum area enclosed will be a square enclosure
since the river is one side , the other three sides of the square will be
1440 / 3 = 480 ft long
Square with sides 480 ft
area =480 x 480 = 230 400 ft^2
Incorrect
2 tries left. Please try again.
Find mZN.
54
Need help with this question?
Get a Hint
(5x +9)°
P
(6x)
(3y + 8)°
(6y-1)°
M
N
Answers
The measure of the angle N is 17 degrees
How to determine the angleFrom the information given in the parallelogram, we have the angles written as;
m<N = 3y + 8
m<M = 6y - 1
m< P = 6x
m< L = 5x + 9
Then, we can say that;
m< M = m<N
Substitute the values, we get;
6y - 1 = 3y + 8
collect the like terms
6y - 3y = 8 + 1
add the values
3y =9
Divide both sides by the coefficient of the variable, y , we have;
y = 9/3
Divide the values
y = 3
Then, m<N = 3y + 8 = 3(3) + 8 = 17 degrees
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100 POINTS
Select the correct point on the graph.
A local zoo has just opened a new stingray environment with 7 young, healthy stingrays. The population of stingrays in the enclosure is expected to at least double every year and can be represented after x years by this inequality.
Answers
The correct point on the graph would be (1, 14). This point represents the population of stingrays in the enclosure after 1 year.
In the given inequality, the population of stingrays in the enclosure is expected to at least double every year, which means the population grows exponentially.
The graph of an exponential function appears as an upward curve, and the point that represents the initial population of 7 stingrays would be the one located closest to the y-axis, which is point (0, 7).
Since the population of stingrays is expected to double every year, after one year it would be 7 x 2 = 14.
Thus, the point (2, 28) would represent the population of stingrays after 2 years, and so on.
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Gabe goes to the mall. If n is the number of items he bought, the expression 18. 91x + 21 gives the amount he spent in dollars at one store. Then he spent 23 dollars at another store. Find the expression 18. 91x + 21 which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 2 items
Answers
Gabe spent approximately $81.82 at the mall if he bought 2 items.
The expression given to us is 18.91x + 21, where x represents the number of items Gabe bought at one store. We can interpret this expression as follows: For each item Gabe buys, he spends $18.91, and he also spends an additional $21 regardless of the number of items he buys. Therefore, if he buys n items at this store, he would spend 18.91n + 21 dollars.
Now, we are told that Gabe spent $23 at another store. To find the expression that represents the total amount he spent at the mall, we add the amount he spent at both stores. Therefore, the expression we are looking for is:
Total amount = 18.91x + 21 + 23
Simplifying this expression, we get:
Total amount = 18.91x + 44
This expression represents the total amount Gabe spent at the mall based on the number of items he bought at the first store.
To estimate how much money Gabe spent if he bought 2 items, we can substitute x = 2 into the expression we just derived:
Total amount = 18.91(2) + 44
Total amount = 37.82 + 44
Total amount = 81.82
Therefore, if Gabe bought 2 items, he would have spent approximately $81.82 at the mall.
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Account x pays 2.1% simple annual interest
Answers
Based on the concepts of simple interest and compound interest, the TRUE statement about these two accounts after 5 years is b) Account Y would earn Monica $62.70 more interest than Account X.
What is the difference between simple interest and compound interest?Under the simple interest system, interest is computed on only the principal for each period.
Under the compound interest system, interest is computed on both the principal and accumulated interest for each period.
Simple Interest:Principal = $3,000
Interest Rate = 2.1%
Period = 5 years
Simple Interest = $315.00 ($3,000 x 2.1% x 5)
Compound Interest:N (# of periods) = 5 years
I/Y (Interest per year) = 2.4%
PV (Present Value) = $3,000
PMT (Periodic Payment) = $0
Results:
FV = $3,377.70
Total Compound Interest =$377.70
Difference in Interest = $62.70 ($377.70 - $315.00)
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Complete Question:Monica wants to open a savings account with a deposit of $3,000. Monica will not make any further withdrawals or deposits after she opens the account. Her bank offers two different savings accounts.
Account X pays 2.1% simple annual interest.Account Y pays 2.4% interest compounded annually.Which statement about these two accounts after 5 years is true?
Options:
a) Account X would earn Monica $62.70 more interest than Account Y.
b) Account Y would earn Monica $62.70 more interest than Account X.
c) Account X would earn Monica $45.00 more interest than Account Y.
b) Account Y would earn Monica $45.00 more interest than Account X.
The state transportation commission counted cars traveling east and west across a toll bridge. The commission counted 100 cars, 7 of which were traveling east. What percentage of the cars counted were traveling east?
Answers
Answer:
7% of cars traveled east.
++||+ +H
2-/-/-
2
2 -/-/-
What fraction is at point M?
2/1/2
OB. 22/
O c. 2/3/20
OD. 21/0
M
1|5
OA.
H
3
Answers
The fraction that represents the point M is 2 3/10
Calculating the fraction that represents point MFrom the question, we have the following parameters that can be used in our computation:
The number line
Such that
M is between 2 1/5 and 2 1/2
This means that
M is between 2.2 and 2.5
By the positiining of the points, we have
M = 2.2 + 0.1
Evaluate
M = 2.3
As a fraction, we have
M = 2 3/10
Hence, the fraction is 2 3/10
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the wild wind stadium seat 25,000 people. it has 25 exits and can be evacuated in 20 minutes. the time to exit the stadium varies directly with thee number of people and inversely with the number of exits used. how long would it take to evacuate 21,000 people if only 15 exits are used?
Answers
It would take 28 minutes to evacuate 21,000 people from the Wild Wind Stadium using only 15 exits
The time to evacuate the stadium varies directly with the number of people and inversely with the number of exits used. This means that the time it takes to evacuate the stadium is proportional to the number of people and inversely proportional to the number of exits used.
Let t be the time it takes to evacuate 21,000 people if only 15 exits are used. Let k be a constant of proportionality. Then we have
t = k × (number of people) / (number of exits)
We know that it takes 20 minutes to evacuate the stadium with all 25 exits in use. This gives us another equation
20 = k × 25000 / 25
Simplifying this equation, we get
20 = 1000k
k = 0.02
Now we can use this value of k to find the time it takes to evacuate 21,000 people with only 15 exits
t = 0.02 × 21000 / 15
t = 28 minutes
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A book has 6 chapters in it, each with the same number of pages.
•The book also has an introduction that is 8 pages long.
•The whole book is 194 pages long.
Write an equation using x below.
Answers
An equation using x as the number of pages in the book that has 6 chapters with the same number of pages and an introduction with 8 pages is 6x + 8 = 194.
What is an equation?An equation is a mathematical statement that defines that two or more mathematical or algebraic expressions are equal or equivalent.
Equations use the equal symbol (=) while mathematical expressions just combine variables with numbers, constants, and values using mathematical operands.
The number of chapters in the book = 6
The number of pages of the introduction = 8 pages
The total number of pages of the whole book = 194
Let the number of pages in each chapter = x
Equation:6x + 8 = 194
6x = 186 (194 - 8)
x = 31
Thus, we can evaluate the equation to show that x is 31.
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Question Completion:Write an equation using x to show the number of pages in each chapter of the book.
Determine if the point is part of the line: y = 7-2x ; (5,1)
Answers
To determine if the point (5,1) is part of the line y = 7-2x, we need to substitute x=5 and y=1 into the equation of the line and check if it is a true statement:
y = 7 - 2x
1 = 7 - 2(5)
1 = 7 - 10
1 = -3
Since -3 is not equal to 1, the point (5,1) is not part of the line y = 7-2x.
The slope of the line below is
Answers
Answer:
B
Step-by-step explanation:
• a line sloping upwards from left to right is positive
• a line sloping downwards from left to right is negative
• a horizontal line parallel to the x- axis has a slope of zero
the line here is sloping upwards from left to right, thus has a positive slope.
Answer:
Step-by-step explanation:
B
if the line makes an angle less than or equal to 90 with the horizontal has a positive slope
Find the value of x, y, and z using radicals
Answers
Answer:
x = 14, y = 7√3, z = 7√2
Step-by-step explanation:
In an isosceles right triangle, the length of the hypotenuse is √2 times the length of a leg. In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg. So x = 14, y = 7√3, and
z = 7√2.
In 1991 there was 1 website. In 1992 there were 10 websites. Work out the percentage change in the number of websites from 1991 to 1992.
Answers
The percentage change in the number of websites from 1991 to 1992 is 900%.
Given that,
In 1991 there was 1 website.
In 1992 there were 10 websites.
The formula to find the percentage change is,
Percent change = (New value - old value) / old value
Here,
New number of websites = 10
Old number of websites = 1
Percentage change = (10 - 1) / 1 = 9 = 900%
Hence the percentage change in the number of websites is 900%.
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one more question till im done! how do I figure this out
Answers
Answer:
13
Step-by-step explanation:
5^2+8^2= c^2
25+64=c^2
89=c^2
c=9.4
9.4^2+9^2=c^2
c=170
c=13
When Sarah finished the next level of her video game, she gained 10
points for each of the four targets she hit and lost 105 points for
taking too long. Write the total change to her score as an integer.
Answers
Answer:
If Sarah received 10 points for each of the four targets she hit, her total point gain from hitting targets would be:
4 targets x 10 points = 40 points
If Sarah loses 105 points for taking too long, her total loss is -105 points (due to the negative change in her score).
As a result, the total change in Sarah's score may be determined by adding her point gain from hitting targets to her point loss from taking too long:
Total difference = 40 points minus 105 points
-65 points total change
As a result, Sarah's score dropped by 65 points after completing the following level of her video game.
The surface area of the side of the cylinder is given by the function f(r) = 6π r, where r is the radius. If g(r) = π r2 gives the area of the circular top, write a function for the surface area of the cylinder in terms of f and g.
Answers
Answer: the answer is 24
Which set of measurements cannot be the lengths of the three sides of a triangle?
A. 5 inches, 7 inches, 9 inches
B.5 inches, 9 inches, 9 inches
C.4 inches, 5 inches, 9 inches
D.4 inches, 4 inches, 7 inches
Answers
Let's check each set of measurements:
A. 5 inches, 7 inches, 9 inches
The sum of the two shorter sides is 5 + 7 = 12, which is greater than the longest side of 9 inches. Therefore, this set of measurements can be the lengths of the sides of a triangle.
B. 5 inches, 9 inches, 9 inches
The sum of the two shorter sides is 5 + 9 = 14, which is greater than the longest side of 9 inches. Therefore, this set of measurements can be the lengths of the sides of a triangle.
C. 4 inches, 5 inches, 9 inches
The sum of the two shorter sides is 4 + 5 = 9, which is not greater than the longest side of 9 inches. Therefore, this set of measurements cannot be the lengths of the sides of a triangle.
D. 4 inches, 4 inches, 7 inches
The sum of the two shorter sides is 4 + 4 = 8, which is not greater than the longest side of 7 inches. Therefore, this set of measurements cannot be the lengths of the sides of a triangle.
Therefore, the set of measurements that cannot be the lengths of the sides of a triangle is C. 4 inches, 5 inches, 9 inches.
Which shows an equivalent decimal, fraction and percent
A-0. 125,1/8,12. 5%
B-0. 20,1/10,20%
C-0. 45,4/5,45%
D-0. 60,2/3,66%
Answers
An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.
To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.
Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.
The other options do not have equivalent representations of decimals, fractions, and percentages.
In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.
Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).
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Having trouble understanding this
Answers
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=2 \end{cases}\implies 192\pi =\cfrac{\pi 2^2 h}{3} \\\\\\ 192\pi =\cfrac{4\pi h}{3}\implies \cfrac{ 3}{4\pi }\cdot 192\pi=h\implies 144=h \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=3 \end{cases}\implies 192\pi =\cfrac{\pi 3^2 h}{3} \\\\\\ 192\pi =3\pi h\implies \cfrac{192\pi }{3\pi }=h\implies 64=h \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=4 \end{cases}\implies 192\pi =\cfrac{\pi 4^2 h}{3} \\\\\\ 192\pi =\cfrac{16\pi h}{3}\implies \cfrac{ 3}{16\pi }\cdot 192\pi=h\implies 36=h[/tex]
two birds are flying in the air. bird A is currently 500 feet in the air and is decending at a constant rate of 75 ceet per minute. bird b who is originally 100 feet in the air begins to increse in altitude at a constant rate of 25 feet per minute. bird a begins to asend in the air at the same time bird b begins to desend in the air
Questions:
What is bird A’s height above the ground?
What is bird B’s height above the ground?
After how many minutes did the two birds reach the same height?
When is bird A above bird B?
When is bird B above bird A?
after 1 minute what is the difference in height between the birds?
Answers
The difference between the two high altitudes is therefore 300 feet.
How to solveLet 't' denote the time in minutes when both birds are at the same height. If both of these fowls are traveling, one descending and the latter ascending, then we obtain a formulaic value for t using the equations below.
Distance descended by bird A = 75tDistance ascended by bird B = 25tOriginal altitude-distance difference = 500 - 100 = 400 feetTherefore, if we solve: 75t - 25t = 400, it follows that 50t = 400 and t = 8 minutes.
Given this information, after 8 minutes, the two birds reach the same height.
Consequently, before the 8-minute interval, bird A is situated at a higher level than bird B since the prior's rate of descent is less than the current bird's ascent.
Once they have reached the shared altitude, bird B is above bird A given its continuous upward elevation, contrasting against bird A's descending course.
Their heights after only 1 minute has elapsed; the Height of bird A after 1 minute is calculated to be 425 feet - (500 - 75(1)) and for bird B it is 125 feet - (100 + 25(1)).
The difference between the two high altitudes is therefore 300 feet.
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In a class of 31 students 16 play football 12 play it 5 play both games.find the number of students who play at least one of the games. None of the games
Answers
Let F be the set of students who play football, and let O be the set of students who play the other game. We are given that |F| = 16, |O| = 12, and |F ∩ O| = 5.
The number of students who play only football is |F - (F ∩ O)|, which is 16 - 5 = 11.
The number of students who play only the other game is |O - (F ∩ O)|, which is 12 - 5 = 7.
Therefore, the number of students who play at least one of the games is |F ∪ O| = |F| + |O| - |F ∩ O| = 16 + 12 - 5 = 23.
Since there are 31 students in the class, the number of students who do not play either game is 31 - 23 = 8.
Find two possible missing terms so that y^2+_+169 is a perfect square trinomial.
The two possible terms are?
Helpppp
Answers
Answer: 344
Step-by-step explanation:
Well I dont know
Answer quickly?
Please
Answers
The quadratic function g(x) = - 3 · (x + 5)² + 12 is the result of the following rigid transformations:
Horizontal translation.Vertical dilation.Reflection about x-axis. Vertical translation.How to modify a quadratic equation by rigid transformations
In this problem we find a quadratic equation that must be modified by means of rigid transformations. The most known rigid transformations are listed below:
TranslationDilationRotationReflectionIf we know that f(x) = x², then the resulting functions are found by using the following steps:
1) Write the entire function:
f(x) = x²
2) Horizontal translation:
f'(x) = (x + 5)²
3) Vertical dilation:
f''(x) = 3 · (x + 5)²
4) Reflection about x-axis:
f'''(x) = - 3 · (x + 5)²
5) Vertical translation:
g(x) = - 3 · (x + 5)² + 12
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can someone please help me with these 4 questions ill do anything im currently failing math
Answers
2b 48 cm^3
The circumference of a circle is 14π cm. What is the area, in square centimeters? Express your answer in terms of
π.
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The circumference of a circle is 14π cm. Then, the area of the circle is 49π square centimeters.
The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter or the boundary of the circle. It is calculated by multiplying the diameter or radius of the circle by the mathematical constant pi (π), which is approximately equal to 3.14159.
The formula for the circumference of circle will be C = 2πr, where C is circumference and r is radius. We are given that the circumference of the circle is 14π cm, so we can write;
14π = 2πr
Dividing both sides by 2π, we get;
r = 7
Now we can use the formula for the area of a circle, A = πr², to find the area of the circle;
A = π(7)²
A = 49π
Therefore, the area of the circle will be 49π square centimeters.
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"The circumference of a circle is 14π cm. What is the area, in square centimeters? Express your answer in terms of π."--
