Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm.
What is the approximate difference in the areas of their circles?
Answers
Answer:
Sky blue
Step-by-step explanation:
30*2 is 60 (diameter)*pi is 188.4
20*2 is 40 (diameter)*pi is 62.8
I got 125.6 but the 1,256 is the closest one to it, (also did you actually post a quizizz on brainly -_- smh)
The correct answer is the difference in the areas of their circles is approximately 1570.80 cm²,
To find the difference in the areas of the two circles, we first need to calculate the area of each circle using the formula [tex]\( A = \pi r^2 \),[/tex] where [tex]\( r \[/tex]) is the radius of the circle and [tex]\( \pi \)[/tex] is approximately 3.14159.
For Hannah's circle with a radius of 30 cm, the area is:
[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]
For Jonas' circle with a radius of 20 cm, the area is:
[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} \approx 1256.64 \text{ cm}^2 \][/tex]
Now, to find the difference in the areas, we subtract the area of Jonas' circle from the area of Hannah's circle:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} \approx 2827.43 \text{ cm}^2 - 1256.64 \text{ cm}^2 \[/tex]]
[tex]\[ \text{Difference} \approx 1570.79 \text{ cm}^2 \][/tex]
However, we can see that the calculated difference is not approximately 314.16 cm². It appears there was a mistake in the calculation. Let's correct the calculation:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} = (3.14159 \times 900 \text{ cm}^2) - (3.14159 \times 400 \text{ cm}^2) \][/tex]
[tex]\[ \text{Difference} = 3.14159 \times (900 - 400) \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} = 3.14159 \times 500 \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} \approx 1570.7963 \text{ cm}^2 \][/tex]
This is still not the expected difference of approximately 314.16 cm². The correct calculation should be as follows:
For Hannah's circle:
[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} \approx 2827.43339 \text{ cm}^2 \][/tex]
For Jonas' circle:
[tex]\[ A_{Jonas} = \pi \times (20 \text{ cm})^2 = \pi \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} \approx 1256.637061 \text{ cm}^2 \][/tex]
Now, the correct difference in the areas is:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} \approx 2827.43339 \text{ cm}^2 - 1256.637061 \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} \approx 1570.796329 \text{ cm}^2 \][/tex]
This result is still not the expected 314.16 cm². It seems there was a misunderstanding in the initial problem statement or in the interpretation of the Python code provided. The correct difference in the areas of the two circles, based on the calculations, is approximately 1570.80 cm², not 314.16 cm².
Related Questions
Solve 6 ^ (6x) = 20 Round to the nearest ten - thousandth .
Answers
Answer:
6 ^ 6x = 20
6x * log 6 = log (20)
6x * 0.77815125038 = 1.3010299957
6x = 1.6719500162
x = 0.278658336
Double check
6 ^ 6* 0.278658336 =
6 ^ 1.671950016 = 20
Step-by-step explanation:
Which value ox is in the solution set of the following inequality -3x+5<17
Answers
[tex]-3x+5<17\\-3x<12|:(-3)\\x>-4[/tex]
x∈(-4;+∞)
/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
The half-life of silicon-32 is 710 years. If 90 grams is present now, how much will be present in 600 years? Round the answer to three decimal
places.
84.88 g
0g
0.257 g
50.102 g
Answers
Answer:
option D
Step-by-step explanation:
Given,
half life of silicon-32 = 710 years
Present silicon-32, N₀ = 90 gm
silicon-32 after 600 years,N = ?
[tex]k = \dfrac{-0.693}{t}[/tex]
[tex]k = \dfrac{-0.693}{710}[/tex]
k = -0.000976
Now,
[tex]N = N_0 e^{kt}[/tex]
[tex]N =90\times e^{-0.000976\times 600}[/tex]
[tex]N = 50.104\ g[/tex]
Hence, the correct answer is option D.
The amount of silicon-32 remaining after 600 years is 50.102 grams
Half life is the time taken for a substance to decay to half of its original amount. It is given by:
[tex]N=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\N\ is\ the\ value\ of\ the\ substance\ after\ t\ year, t_\frac{1}{2} \ is\ the\ half\ life\\and\ N_o\ is\ the \ original\ amount[/tex]
Given that half life = 710 years, original amount is 90 g, t = 600 years, hence:
[tex]N=90(\frac{1}{2} )^\frac{600}{710} \\\\N=50.102\ g[/tex]
The amount of silicon-32 remaining after 600 years is 50.102 grams
Find out more on half life at: https://brainly.com/question/25783920
All I need is the answer thanks
Answers
Answer: The answer is c
Step-by-step explanation: Lets be freinds
y = -x - 3; (0,7)
Write an equation of the line that is parallel to the given line and passes through the given point.
Answers
Answer:
y = -x +7
Step-by-step explanation:
A line that is parallel must have the same slope in this case -x.
Since the y-intercept of the needed solution is 7, the equation is:
y = -x+7
Please mark my answer as brainiest
Find the value of the variable.
Please and thank u
Answers
Select ALL true statements about solving the equation : 4a - 5 = 10 - a
Answers
Answer:
1, 3, 4, and 7
Step-by-step explanation:
all of these are true
Help me with IXL Math...
I'll MARKO you as Brainliest.
Answers
Answer:
x = -5/2
Step-by-step explanation:
Line of symmetry of a quadratic is:
x = h
Where h is the x-coordinate of the vertex.
For any quadratic,
y = ax² + bx + c
h = -b/2a
For the given quadratic,
y = x² + 5x
h = -5/(2×1) = -5/2
Equation of the line of symmetry therefore is
x = -5/2
Answer:
x = -5/2
Step-by-step explanation:
Hope I helped ya.
I know I'm late.
< Sarah >
Which set of side lengths will form a right triangle?
6, 8, 11
10, 24, 25
7, 24, 26
8, 15, 17
Answers
Answer:
8,15,17
Step-by-step explanation:
Answer:
I got 8,15, and 17 too just because of one side is short the other to should be longer.
Step-by-step explanation:
Write the quadratic equation in standard form.
(x-3) 2=0
0x²+9=0
0x2+6x+9=0
0x2 - 6x +9=0
Answers
To determine the correct standard form of a quadratic equation from the given options, we expand (x-3)2 to get [tex]x^2 - 6x + 9 = 0,[/tex] which is the correct standard form [tex]ax^2 + bx + c = 0.[/tex]
To write the quadratic equation in standard form, you need to remember that the standard form is ax2 + bx + c = 0. The given equations will be compared to this standard form to find the correct answer.
Given Equations:
(x-3)2=0
0x2+9=0
0x2+6x+9=0
0x2 - 6x +9=0
Only the first equation, (x-3)2=0, can be simplified to the standard quadratic form if expanded. Let's expand it:
(x-3)2 = x2 - 6x + 9
So the correct standard form of the given equation is x2 - 6x + 9 = 0.
The other options, due to having a coefficient of 0 for x2, are not proper quadratic equations as they do not have the quadratic term.
A school concert has students tickets for $7 and nonstudents tickets for $12. If the school made $1973 selling 214 tickets? How many student tickets were sold? How many nonstudent tickets were sold?
Answers
Answer:
119 student tickets and 95 non-student tickets
Step-by-step explanation:
I did a trial-and-error solution.
I started with 107 students and 107 non-students:
(107*$7)+(107*$12) = $2033
It was too high, which tells us that there should be more who paid for the cheaper price.
I ended up with 119 and 95:
(119*$7)+(95*$12) = $1973
Answer:
Sample Response: Partial and negative tickets cannot be sold, so the minimum number values of e and s are 0. If s = 0, then e = 16, and if e = 0, then s = 20. Therefore, the values of s are whole numbers from 0 to 20 and the values of e are whole numbers between 0 and 16. The greatest number of student tickets sold was 20 and the greatest number of nonstudent tickets sold was 16.
Step-by-step explanation:
WILL MARK BRAINLIEST IF ANSWERED ASAP PLEASE I BEG OF YOU PLZ ANSWER QUICKLY!!! Which number line shows the graph of x greater-than-or-equal-to 11?
A number line going from 6 to 14. An open circle is at 11. Everything to the right of the circle is shaded.
A number line going from 6 to 14. A closed circle is at 11. Everything to the right of the circle is shaded.
A number line going from 6 to 14. An open circle is at 11. Everything to the left of the circle is shaded.
A number line going from 6 to 14. A closed circle is at 11. Everything to the left of the circle is shaded.
Answers
Answer:
The second one!:
A number line going from 6 to 14. A closed circle is at 11. Everything to the right of the circle is shaded.
Step-by-step explanation:
The one that has a line going towards 14 from 11. The circle is closed (filled in.)
Please mark brainliest! Hope this helps!
Answer:
????????????????????
the seccond one
Find the sum of the measures of the interior angles of a hexagon.
Answers
Answer:
720°
Step-by-step explanation:
On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 3, 12.5), (negative 2, 5), (negative 1, 0.5), (0, negative 1), (1, 0.5), (2, 5), (3, 12.5).
The graph of f(x) is shown. Estimate f(–3).
f(–3) =
Answers
Answer:
12.5
Step-by-step explanation:
Vetrx is at: (0,-1) because other y values are repeated
y = a(x - 0)² - 1
y = ax² - 1
Using (1,0.5)
0.5 = a(1)² - 1
a = 1.5
f(x) = 1.5x² - 1
f(-3) = 1.5(-3)² - 1
f(-3) = 12.5
Answer:
D. 12.5
Step-by-step explanation:
What is the sample space for choosing an odd number from 1 to 11 at random
Answers
Answer:
{1, 3, 5, 7, 9, 11}
The sample space of the odd number will be (1, 3, 5, 7, 9, 11).
Sample space simply means the possible outcomes that we can get when we make an experiment.
Odd numbers cannot be divided by 2. Examples include 1, 9, 11, 23, 45, 75 etc. In this case, the odd numbers that we can get from 1 to 11 will be 1, 3, 5, 7, 9 and 11 and this will be the sample space.
In conclusion, the sample space will be (1, 3, 5, 7, 9, 11)
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https://brainly.com/question/14649409
using substitution and elimination method solve this simultaneous equation
Y=x+1
X+Y=3
Answers
Answer:
x = 1 and
Y = 2
Step-by-step explanation:
1. Y = x + 1
2. X + Y = 3
Substitute equation 1 into equation 2
X + Y = 3
X + X + 1 = 3
2x + 1 = 3
Subtract 1 from both sides to eliminate 1 on the left side
2x + 1 - 1 = 3 - 1
2x = 2
Divide both sides by 2 to isolate x
2x/2 = 2/2
x = 1
Substitute 1 for x in either equation to get Y
Using equation one, we have
Y = x + 1
= 1 + 1
= 2
x = 1
Y = 2
Check
X + Y = 3
1 + 2 = 3
3 = 3
The slope of (9,3), (19,-17)
Please can someone answer fast this is due in 5 minutes!!!!
Answers
I don’t know bruv but I hope this somewhat helps. I used a websti called dezmos.
The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristics
as follows:
There have been two turning points in sales this year
Sales are expected to increase in the long run.
The least amount of sales during the year is about $250,000,
Which graph correctly shows the coffee shop's sales?
Answers
Answer:
I think the graph that best matches the discription is option D (so the last one)
A graph representing this coffee shop chain's sales would likely resemble a 'W', with two significant turning points, never declining below $250,000, and a general upward trend indicating sales are expected to increase.
Explanation:In Mathematics, when we discuss turning points, we generally refer to the points on a graph where the curve changes direction. If sales are increasing in the long run and there have been two 'turning points' this year, the graph should generally showcase a positive upward trend, dips at the points of turning, and then subsequent increases. Given that the least amount of sales during the year is about $250,000, the graph should never fall below this point.
In this context, the turning points would reflect changes in sales - a drop followed by a rise. It’s important to note that without the exact data or the graph, I cannot definitively identify it. However, considering the given descriptive data, we can deduce that the graph might look somewhat like a 'W', with the middle point not declining below $250,000 and a general upward trend.
Learn more about Turning Points here:https://brainly.com/question/12344099
#SPJ2
A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below.
Answers
Answer:
The comparison using median and IQR is best because one of the graphs is not symmetrical.
Step-by-step explanation:
The following information is missing
A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.
A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.
The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?
The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.
The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.
The comparison using median and IQR is best because one of the graphs is not symmetrical.
The comparison using median and IQR is best because the median is greater than the IQR for both data sets.
Mean and MAD are useful for comparison when both data sets are symmetrical.
In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)
The heights of a group of boys and girls at a local middle school are shown on the dot plots below. 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. When comparing the shapes of the two sets of data, what conclusion can someone draw? The shortest boy is taller than the shortest girl. The range for the girls is greater than the range for the boys. There is an outlier in the data for the boys, but not for the girls. The girls are generally taller than the boys.
Answers
Answer:
d is correct for me
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Rosalie and Tom are creating patterns.
Rosalie uses the rule “add 4” and starts at 3.
Tom uses the rule “add 8” and starts at 7.
Which best compares Rosalie's and Tom's patterns?
A. Tom's number is always equal to Rosalie's number plus 4.
B. Tom's number is always twice as large as Rosalie's number.
C. Tom's number minus Rosalie's number is always divisible by 4.
D. Tom's number is always 3/2 times larger than Rosalie's number.
Answers
What is the arclength of PQ
Answers
Given:
θ = 54°
Radius = 10 in
To find:
The arc length of PQ
Solution:
Arc length formula:
[tex]$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]
[tex]$\text{Arc length}=2 \times 3.14 \times 10\left(\frac{54^\circ}{360^\circ}\right)[/tex]
= 9.42 in
The arc length of PQ is 9.42 inches.
BRAINLIEST!!
1. Identify the domain and range of each function.
Answers
Answer:
The fourth listed answer:
Domain: All Real numbers
Range : { f{x) | f(x) [tex]\leq[/tex] 0, f(x) = 1 }
Step-by-step explanation:
The domain consists of all Real numbers (notice that you have a well defined f(x) value for all possible x on the horizontal axis.
The Range is associated with the set of those f(x) values (on the vertical axis) that are connected via the functional relationship with a value "x" of the domain. The line with positive slope extends to all f(x) values that are [tex]\leq[/tex] 0 (smaller than or equal to zero). While the flat horizontal line on the right of the plot corresponds to the line f(x) =1 (only one value of f(x) [1} connects with the x-values of the Domain that are larger than 3.
Please help me ASAP! I will mark you as the best answer! I need the answers to the empty boxes
Answers
Answer:
4k=-2k+6-18
6k= -12
Step-by-step explanation:
Answer:
- 12
6 12
-2
Step-by-step explanation:
They add 6 to both sides so 4k=2-12
then add 2k to both side and get 6k=-12
divide by 6 and get k=-2
A trapezoid has vertices A(-5, 4), B(-3, 2), C(-7, -2).
and D(-7, 2). It is transformed according to the rule ry-axis o
T(-2.3).
What are the coordinates of C"?
(-9,5)
(-9, -1)
(5, 1)
(9, 1)
Answers
Answer:
d-(9,1)
Step-by-step explanation:
Answer:
(9,1)
Step-by-step explanation:
correct on edge
Help plz i reeeaaalllyyy dont get it :(
Answers
Answer:
4 = b
5 = a
6 = a
1. Determine whether Point D lies on the circle whose center is Point B and which contains the Point C. Show your answer algebraically and graphically. Point D (1, ); Point B (0, 0); Point C (0, 2) Point D (3,1); Point B (-1,-2); Point C (4, -2) 2. A scalene triangle is a triangle that has different side lengths. Create your own scalene triangle. Use the vertices of your triangle and the distance formula to support your answer. 3. Use the set of vertices to complete steps a-e. Quadrilateral EFGH has the vertices E(1, 3), F(2, 6), G(4, 4), and H(5, 7). Find the following information for each set of points. Graph the vertices to form quadrilateral EFGH. Determine whether the quadrilateral is a trapezoid, parallelogram, rhombus, rectangle or square. Support your conclusion mathematically Find the point of intersection for the diagonals. Calculate the slope of the diagonals. Are the diagonals perpendicular? Find the perimeter of the quadrilateral.
Answers
Answer:
hope i helped
Step-by-step explanation:
Point D (3,1); Point B (-1,-2); Point C (4, -2)
Point D lies on the circle whose center is Point B and which contains the Point C if the distance:
BD = BC
BD^2 = BC^2
(- 1 - 3)^2 + (- 2 - 1)^2 = (4 - (-1))^2 + (-2 - (-2))^2
16 + 9 = 25
25 = 25
Follows, point D lies on the circle with radii 5.
To solve graphically we first need to write the equation of the circle whose center is Point B and which contains the Point C:
(x - (-1))^2 + (y - (-2))^2 = 5^2
(x + 1)^2 + (y + 2)^2 = 5^2
I need help with question 5:) anything is appreciated:)))
Answers
Answer:
[tex]y=-150x+1600[/tex]
Step-by-step explanation:
Linear Equation:
[tex]$y=mx+b$[/tex]
[tex]f(x)=mx+b[/tex]
Consider:
The pool is full when the time is zero:
[tex]1600=m(0)+1600[/tex]
It is emptied (-) in the rate 150 gallons every hour.
[tex]f(x)=-150x+b[/tex]
[tex]f(x)=-150x+1600[/tex]
[tex]y=-150x+1600[/tex]
It took Rachel 9.3 minutes to run a mile. It took Chris 0.9 times as long as it took Rachel to run the same distance. How long did it take Chris to run a mile?
Answers
Answer:
8.37 minutes
Step-by-step explanation:
The key word times helps us know what operation we're doing, which is multiplication. Multiply 9.3 by 0.9 to get your answer.
So far this season, Shawn has averaged 4 out of 11 free throws per game. Based on his previous performance, how many free throws can Shawn expect to make if he takes 22 free throws in his next game?
Answers
Answer:
8
Step-by-step explanation:
Multiply 11 by 2 to get to 22; do the same to 4