if the area of a circle is 144[tex]\pi \\[/tex] m squared what is the diameter of the circle
Answers
![If The Area Of A Circle Is 144[tex]\pi \\[/tex] M Squared What Is The Diameter Of The Circle](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/hN9iQBCF8lPlaweltrjXQ5zKWNGO70HV.png)
The diameter of the circle is 24 m.
The area of a circle is π[tex]r^{2}[/tex] or π[tex]d^{2}[/tex]/4
So, if the area is 144π, then,
144π = π[tex]d^{2}[/tex]/4
144 = [tex]d^{2}[/tex]/4
144 x 4 = [tex]d^{2}[/tex]
576 = [tex]d^{2}[/tex]
d = [tex]\sqrt 576[/tex]
d = 24 m.
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Related Questions
Which method is best for root finding?
Answers
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
3. Solve each equation. Show your work.
a. 2x = 27 - x
Answers
Answer:
2x=27-x - given
3x=27 - add x to both sides
x=9 - divide both sides by 3
Step-by-step explanation:
[tex]2x=27-x[/tex]
Simplify:
[tex]2x=-x+27[/tex]
Add x to both sides:
[tex]2x+x=-x+27+x[/tex]
[tex]3x=27[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{27}{3}[/tex]
[tex]\fbox{x = 9}[/tex]
The table below represents a linear function.
\def\arraystretch{1.5} \begin{array}{|c|c|c|c|c|} \hline n & -3 & 1 & 5 & 9 \\ \hline f(n) & -3 & 5 & 13 & 21 \\ \hline \end{array}
n
f(n)
−3
−3
1
5
5
13
9
21
What is the slope?
Answers
Answer:
2
Step-by-step explanation:
if you do change in y/change in x it would be 8/4 with simplifies down to 2
What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
Answers
The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:
= 1 - 75%
= 0.25
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Complete question
The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
Which linear function has the greatest y-intercept? y 6 y = 36 y = 15 x 5 3 x 8 y = 24 y = 4 x 7
Answers
Answer:
The answer is D with the greatest y-intercept of 7.
Step-by-step explanation:
Put these all in slope intercept form: y=mx+b
m=slope
b=y intercept
Working out option A)
x+6y=36
6y=-x+36
y=-1/6x+6
Option B)
y=15x+5
Option C)
Is there a typo? Regardless of how I attmpeted to fix it, it had an intercept of either 3 or 4
Option D)
y=4x+7
The answer is D with the greatest y-intercept of 7.
Explore all similar answers
Find the coordinates of Triangle KLM after a translation to the right by 8 units, then a reflection across the x-axis. Show your work or explain what steps you take to find your answer.
Answers
The new coordinates of triangle KLM after the given translation is;
M'(6, 1)
L'(1, 4)
K'(4, 8)
How to find the coordinates of translation?In transformations, there are different types such as reflection, dilation, translation e.t.c
Now, translation is what we are dealing with here and translation is a rigid transformation which means that it does not alter the dimensions of the figure after transformation. Translation is just moving the object from one point to another.
In translation, the size, the shape and the orientation of the image remain the same as that of the original object. Thus, the same orientation means that the object and image are facing the same direction.
The given coordinates of the triangle are;
M(-2, 1)
L(-7, 4)
K(-4, 8)
Now, If you move horizontally 8 units to the right, it means that 8 is added to the x-coordinate of each of the vertices. Thus, the transformation rule here is;
(x, y) → (x + 8), y
Therefore the new coordinates of triangle KLM are;
M'(-2 + 8, 1) = M'(6, 1)
L'(-7 + 8, 4) = L'(1, 4)
K'(-4 + 8, 8) = K'(4, 8)
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A shopper needs 24 sandwich rolls the store sells identical rolls and two differently sized packages the store sells a six-pack for $5.28 and four-packs for $3.40 should the shopper buy four six-packs or four 4-packs?
Answers
The shopper must buy six 4-packs sandwiches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of sandwiches to buy = 24
Cost of six-pack sandwiches = $5.28
Cost of four-pack sandwiches = $3.40
Cost of 24 sandwiches from the six-pack.
= 4 x 5.28
= $21.12
Cost of 24 sandwiches from the four-pack.
= 6 x 3.40
= $20.4
Thus,
Six four-pack sandwiches are cheaper than four six-pack sandwiches.
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Could someone pls explain on how to find the 5 number summary, Recall that the 5-number summary is the minimum, lower quartile, median, upper quartile, and maximum.
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
Answers
Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16
The Five Number Summary is what?The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
The 5 digit summary definition
minimal is a smaller number.
lower quartile: First-half median of the data.
median
upper quartile :Median of the second half of data
greatest number is maximum
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
minimum = smallest number = 1
lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3
median = median( middle value) = 5
upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16
maximum = largest number = 28
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an airplane begins its descent with an average speed of 240 at an angle of depression of . how much altitude will the plane lose in ? round to the nearest tenth of a mile.
Answers
At an average speed of 240 mph and an angle of depression of 45 degrees, the plane will lose 1.1 miles of altitude.
1. Convert the average speed of 240 mph into feet per second: 240 mph x 1.467 = 352 feet per second
2. Calculate the total distance traveled by the plane in one second: 352 x 1 = 352 feet
3. Calculate the total vertical distance traveled by the plane in one second: 352 x sin45 = 250 feet
4. Calculate the total altitude lost by the plane in 1 second: 250 x 1 = 250 feet
5. Calculate the total altitude lost by the plane in 1 minute: 250 x 60 = 15,000 feet
6. Convert the total altitude lost in feet to miles: 15,000 feet / 5,280 = 2.84 miles
7. Round to the nearest tenth of a mile: 2.84 miles = 1.1 miles
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A food scientist studies the relationship between mass and calories in different types of
burritos. the scatter plot shows the data for 15 types of burritos. based on a line of best fit
for the data,
Answers
The number of calories for 180-gram burrito is 392
How to determine the number of calories for 180-gram burritoFrom the question, we have the following parameters that can be used in our computation:
The scatter plot
From the line of the best fit on the scatter plot, we have the following points
(0, 250) and (190, 400)
A linear function is modelled by:
y = mx + b
In which:
m is the slope, which is the rate of change
b is the y-intercept, which is the value of y when x = 0
Using the above points, we have
b = 250
This means that
y = mx + 250
From the point (190, 400), we have
400 = 190m + 250
So, we have
190m = 150
And, this gives
m = 15/19
So, the equation is
y = 15/19x + 250
For a 180-gram burrito, we have
y = 15/19 x 180 + 250
Evaluate
y = 392
Hence, the number of calories is 392
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Just answer it, dont have to show work, will mark brainly
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The system of equations with the same solution set as the system of equations given is presented as follows:
5x + 3y = 10.x - 2y = -1.How to obtain the system of equations with the same solution set?The system of equations for this problem is presented as follows:
5x + 3y = 10.2x - 4y = -2.Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.
This holds true for the first option, as:
The first equation is the same for both systems, 5x + 3y = 10.The second equation on the first option is x - 2y = -1, meaning that it was the second equation of the given system divided by 2.More can be learned about a system of equations at https://brainly.com/question/24342899
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In a classroom 1/5 student get grade A; 3/10 got grade B and rest get grade C in math. Total number of students in the class is 50. Find how many students got grade C
Answers
Answer:
25
Step-by-step explanation:
make 1/5 and 3/10 with equivalent denominator which will give us 2/10 and 3/10 now add them and we get 5/10 5 is the half of ten so we will divide 50 over 2 and we will get 25
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help.
Select all the lengths of triangles that are right.
1.) 8, 9, 64
2.) 2,4,6
3.) 1, 1, V2
4.) 7,19,22
5.) 5, 12, 13
Answers
A circle has a diameter of 100 inches. Which expression could be used to find the area of the circle?
100² × π
50² X π
2 × 50² × π
2× 10² x π
Please help if possible
Answers
The correct expression for the area of the circle will be;
⇒ 50² × π
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle has a diameter of 100 inches.
Now,
Since, A circle has a diameter of 100 inches.
Hence, A circle has a radius = 100/2 = 50 inches.
We know that;
The area of circle = πr²
Where, 'r' is radius of the circle.
Substitute all the values, we get;
⇒ The area of circle = πr²
⇒ The area of circle = 50² × π
Thus, The correct expression is,
⇒ 50² × π
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a square room has a floor area of 64 square meters. the height of the room is 9 meters. what is the area of all 4 walls?
Answers
Answer:
288 m^2
Step-by-step explanation:
each side of the room is 8 m ( 8x8 = 64)
So you have FOUR walls of widht 8 and height 9
area = FOUR * ( 9 *8) = 288 m^2
Find the equation of a parabola with its vertex at the origin and directrix x = 3.
Answers
The equation of a parabola is y²+12x=0.
In mathematics, what is a parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
What exactly are the three parabola equations?Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).
as per the given question:
We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).
The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is
(x−(−3))² + (y−0)² = (x−3)²
or (x+3)² + y² = (x−3)²
or x² + 6x + 9 + y² = x² − 6x + 9
or y² + 12x =0
Hence, The equation of a parabola is y²+12x=0.
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Find the measure of the following angle
Answers
Answer:
65 degrees
Step-by-step explanation:
It is between 60 and 70 ish 65
During a single day at radio station WMZH, the probability that a particular song is played is 0.23. What is the probability that this song will be played on exactly 0 days out of 7 days? Round your answer to the nearest thousandth.
Answers
The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The probability that a particular song is played is 0.23,
As can be seen that the problem is of combination, so we have to choose 5 out of 7,
Calculate the combination as shown below,
⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2
⁷C₅ = 7 × 6 / 2
⁷C₅ = 21
Calculate the probability as shown below,
P = ⁷C₅ × (0.23)⁵ × (0.77)²
P = 0.008
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A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
50x + 100 ≤ 600
Answers
Solve by factoring
X^2+x=63
Answers
Answer:
x = 7.45 & -8.45
Step-by-step explanation:
x^2+x−63=0
You can either solve this through the quadratic formula or by completing the square.
See the attached image on how to solve using the quadratic formula:
Evaluate each function.
g(n)=-n+ 5; Find g(1)
B) 4
D) -3
A) 6
C) 15
Answers
-(1)+5
Solution
Option B (4)
A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything below and to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything above and to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded.
Answers
The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.
Find graph?The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6
The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.
The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.
- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;
The line crosses the y-axis at position (0 , 2)
– Locate the x-intercept.
∵ y = 0
∴ 0 = 2 - 2/3 x
- Adjust both sides by 2/3x.
∴ 2/3 x = 2
Increase both sides by 3.
Divide all sides by 2 to get the answer.
∴ x = 3
The line crosses the x-axis at position (3 , 0)
First and second from the figure.
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A rectangular garden has a walkway around it. The area of the garden is 2(3.5x +2.5). The combined area of the garden
and the walkway is 2.5(6x+6). Find the area of the walkway around the garden as the sum of two terms.
The area of the walkway around the garden is?
Answers
The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).
Define area.A sketch or a picture is an example of a flat shape, which is a two-dimensional geometric shape. The interior space of the shape is how area is defined in mathematics. The area of a two-dimensional shape must take into account the units, which are squared units (units2). All of the shapes shown in the diagram below are flat, two-dimensional shapes. The quantity of square units that occupy any form determines its area.
Given
A rectangular garden has a walkway around it
Area of garden 2(3.5x +2.5)
Combined area 2.5(6x+6)
Walkway area = A
2(3.5x +2.5) + A = 2.5(6x+6)
A = 2.5(6x+6) - 2(3.5x +2.5)
The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).
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You are given a function f(x) that is continuous on the closed interval [2,10] and differentiable on the open interval (2,10). If f(2)=5 and the average rate of change is bounded between -1 and 3, that is: -1≤f'(x)≤3, what is the smallest possible value for f(10)?
Answers
Answer: -3
Step-by-step explanation:
[tex]-1 \leq f'(x) \leq 3\\\\-\int^{10}_{2} dx \leq \int^{10}_{2} f'(x) \text{ }dx \leq 3\int^{10}_{2} dx\\\\-8 \leq f(10)-f(2) \leq 24\\\\-8 \leq f(10)-5 \leq 24\\\\-3 \leq f(10) \leq 29[/tex]
50 points for this question
Answers
Answer:
See attachment.
Step-by-step explanation:
Step 1
Draw a 5 cm horizontal line.
Label the endpoints of the line Q and R.
Step 2
Use a protractor and measure an angle of 80° counterclockwise from point Q.
Draw a 7 cm straight line from point Q at the angle of 80°.
Label the endpoint of this line P.
Step 3
Join points P and R with a straight line.
One week, Jayden earned $87.50 at his job when he worked for 5 hours. If he is paid
the same hourly wage, how many hours would he have to work the next week to earn
$105.00?
Answers
Answer:
Here answer
Step-by-step explanation:
To find the number of hours Jayden would have to work to earn $105.00, we need to first find his hourly wage. We can do this by dividing his total earnings by the number of hours he worked:
hourly wage = total earnings / number of hours worked
= $87.50 / 5 hours
= $17.50/hour
Now that we know Jayden's hourly wage, we can use it to find the number of hours he would have to work to earn $105.00. We can do this by dividing the total amount he wants to earn by his hourly wage:
number of hours = total earnings / hourly wage
= $105.00 / $17.50/hour
= 6 hours
Therefore, Jayden would have to work for 6 hours to earn $105.00 at his job.
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box. A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall. A diagonal d is drawn from the upper right rear corner to the lowest left front corner.
Answers
It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.
What is the formula for the length of a right rectangular prism?
Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.
Plugging in the values we have:
d² = 60² + 80² + 100²
Solving for d, we get:
d = √(660² + 80² + 100²)
= √(3600 + 6400 + 10000)
= √(20000)
= 140.4 cm
Thus, the length of the interior diagonal of the box is 140.4 cm.
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The foundation for Robert's new house has been poured. The foundation includes the slab for the house, a square driveway in front, and a semi-circular back patio.
What is the approximate area of the poured foundation in square feet?
Answers
The approximate area of the poured foundation, 2888 feet².
What is area?Area measures how much space a flat, 2-D surface or form of an object takes up.
Given, The foundation includes the slab for the house, a square driveway in front, and a semicircular back patio.
That means,
The area of square driveway = (side)²
The area of square driveway = (16)²
The area of square driveway =256 feet².
The sides of the rectangle are,
32 + 16 = 48 feet and 52 - 16 = 36 feet.
The area of the rectangle
= length x width
= 48 x 36
= 1728 feet²
Now the area of the semicircular back patio;
= 1/2 (πr²),
= π/2 x 576
= 288π feet²
The total area
= 256 feet² + 1728 feet² + 288π feet² = 1984+288π feet²
Let π = 3.14
1984+288π feet² = 2888 feet²
Therefore, the approximate area is 2888 feet².
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April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?
Answers
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest. the annual interest rate is 2%
How to find annual interest rateSimple interest is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $600
rate= ?
time = 5 years
simple interest = 60
plugging in the values
Simple interest = Principal * time * rate / 100
60 = 600 * 5 * r / 100
60 * 100 = 3000r
r = 6000 / 3000
r = 2%
The annual interest rate is 2%
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Help please !!!???!!!!
Answers
Answer:
the lenth of the court is 78 feet
