Answer: The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2 = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.
Step-by-step explanation: this is the same paragraph The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2 = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.
HELP PZZ Nate has 5 green marbles and 3 red marbles. Select the ratios that compare the number of red marbles to the total number of marbles. Mark all that apply.
A local grocery store received a new shipment of apples. The apples arrived in 8 crates with 20 apples in each crate. If the store pays $0.21 per apple and sells each apple for $0.79, what would the profit be after selling all of the apples?
A.
$16.24
B.
$22.12
C.
$92.80
D.
$126.40
The correct answer is C. $92.80
Explanation:
The first step is to calculate the profit for each apple, this can be found by subtracting the cost the store pays from the selling price.
$0.79 - $0.21 = $0.58
This means for each apple the store sold, the profit (amount of money earned) is $0.58. Now, let's find the total apples the store received, and therefore the total of apples the store can sell.
8 creates each with 20 apples
8 x 20 = 160 apples
Finally, multiply the profit for selling one unit by the total apples
160 x 0.58 = $92.8
Alfonso made a scale drawing of a tower. The actaul height of a tower is 25 feet. The scale Alfonso used in his drawing is 1 in.:10 ft. What is the height of the tower in Alfonso's drawing?
Answer:
2.5 inches
Step-by-step explanation:
Using Alfonso's scale of the drawing, which is 1in=10 ft, we can conclude the height of the tower to be 2.5 inches because
the actual height of the tower is 25 feet
10+10=20, which by following the scale, is 2 inches
we then have 5 left, 5 being half of 10, and .5 being half an inch.
Therefore the height of the tower using Alfonso's scale is 2.5 inches.
Hope this helps and take care
What are the next 4 terms of the sequence 1, 6, 11...?
OA) 15, 19, 23, 27
B) 16, 21, 26, 31
OC) 6, 1, -4,-9
D) 18, 26, 35, 45
yvonne has 23 points at the end of the first game at the end of the second game her total was -8 how many points did she lose
Answer:
she lost 31 points
Step-by-step explanation:
23--8=-31
28-31=-8
Answer:
She lost 31 points lol
Step-by-step explanation:
If ABC is reflected across the y-axis, what are the coordinates of C?
Answer:
C
Step-by-step explanation:
The y axis is vertical so you only change the x value.
The coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle shown on the coordinate plane.
If ABC is reflected across the y-axis,
Then the coordinate of C
From the figure, the coordinate of C is(before reflection)
C = (6, 3)
The rule for transformation if reflected across the y-axis:
(x, y) → (-x, y)
(6, 3) → (-6, 3)
Thus, the coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
Learn more about the geometric transformation here:
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What is the first step in the problem below?
1+n/7=3
A. Do the reciprocal of 1/7
B. Divide both sides by 7
C. Multiply both sides by 7 for the inverse
D. Subtract 1 on both sides for the inverse
Answer:
C.
Step-by-step explanation:
I'm assuming that the equation is (1+n) / 7 = 3, where 1+n is the numerator and 7 is the denominator.
In this case, to isolate for n, you have to multiply both sides by 7.
then you get 1+n = 3/7, and then you can get n = 3/7 - 1
Ted is building a garden in his yard. He measures one side of his yard and finds it is 12 meters.
Which measurement did Ted find?
Answer:
Length or Area
Step-by-step explanation:
Ted is taking the measurements to find out how big he wants the garden
Paul is comparing the cost of cell phone services. At CellCoA, the phone he wants costs $305 and the unlimited calling plan costs $45 per
month. At CellCoB, Paul can purchase the same phone for $350 and get an unlimited calling plan for $30 per month. In how many months
will both plans cost the same?
These equations, which are graphed below, represent the situation.
y = 45x + 305
y= 30x + 350
Here, x represents the
number of months and y represents the amount paid.
80
70
60
10)
Answer:
440
Step-by-step explanation:
305+ (45*3)= 440
350+ (30*3)= 440
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Find the total amount given the original price, tax rate and tip rate. Round to the nearest hundredth if necessary.
Original price: $101.33
Tax rate: 6.7%
Tip: 18%
Answer:
The total cost would be $126.36
Step-by-step explanation:
18% plus 6.7% is 24.7%. 24.7% of 101.33 is 25.028. Add $101.33 and $25.03
The total amount including tax rate and tip rate is $127.58.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The original price is $101.33.
Now, Tax rate is 6.7%.
Price with tax is,
= (106.7/100)×101.33.
= $108.12.
The price with tip is,
= (118/100)×108.12.
= $127.58.
So, The total price is $127.58.
learn more about percentages here :
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Point (-4,3) lies in quadrant I,II, III
Answer:
II
Step-by-step explanation:
Answer: It would be in the second quadrant
By which rule are these triangles congruent?
Answer:
AAS (angle, angle, side)
Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 miles from her school. She rides an additional 2.5 miles for each trip, t, she makes around the park. Which inequality represents the situation?
5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
5 (2) (6.25) + 2.5 t less-than 85
5 (2) (6.25) + 2.5 t greater-than-or-equal-to 85
5 (2) (6.25) + 2.5 t greater-than 85
its a because 5 (2) (6.25)+2.5t has to at least equal 85.
Answer:
A- 5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
Step-by-step explanation:
e d g e n u i t y u n i t t e s t
In a class of 40 students, 75% returned their permission slips for the school field trip. HowIn a class of 40 students, 75% returned their permission slips for the school field trip. How many students returned their permission slips
Answer:
30 students
Step-by-step explanation:
Given
[tex]Students = 40[/tex]
[tex]\% = 75\%[/tex] ---- percentage of those that returned their slips
Required
Determine the number of those that returned their slips
Represent the number with n
To calculate n, we simply multiply the number of students by the percentage of those that returned their slips
i.e.
[tex]n = 40 * 75\%[/tex]
Convert % to decimal
[tex]n = 40 * 0.75[/tex]
[tex]n = 30[/tex]
Hence, 30 students returned their slips
what is 6/5 x 25/24 = ?
Which expression is equivalent to (5x–3y4)2?
A. 25x^6 y^8
B. 10x^6 y^8
C. 25y^8/ x^6
D. D.10y^8/ x^3
Hopefully I wrote that out correctly. Answer right and I'll award brainliest.
Suppose the class sizes in high schools in a major public school district are normally distributed with an unknown population mean and standard deviation. If a random sample of 28 high school classes is taken to estimate the mean class size, use a calculator to find the t-score that should be used to find a 90% confidence interval estimate for the population mean.
Answer:
1.703
Step-by-step explanation:
The reason we try to find t score is because the sample size is below 30, meaning the sample size is small
Hence:
Step 1
We find the degree of freedom
The Degrees of freedom = Number of samples - 1
The random number of samples = 28
= 28 - 1
= 27
Step 2
Using a t score table or t score calculator, we can obtain the t score value for a 90% confidence interval and degree of freedom of 27
90% confidence interval =
10% significance level = 0.10 for two tails or 0.1/2 = 0.05 for one tail
Hence: t90 = 1.703
Each 1/4 inch on a map represents an actual length of 1/8 of a mile. What length on the map represents 1 mile?
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
Need help!! I can't figure this out
9514 1404 393
Answer:
12. $1,035,057.23
13. $988,881.23
14. $7,762.93
15. $8,686.16
16. $967,647.66
Step-by-step explanation:
The annuity and amortization formulas are used for problems like this.
sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)
monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))
__
12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...
A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23
__
13. The total of payments is ...
$74×12×52 = $46,176
So, the interest earned is ...
$1,035,057.23 -46,176 = $988,881.23
__
14. The amount available in perpetuity is the monthly interest on this account balance.
$1,035,057.23 × .09/12 = $7,762.93
__
15. The monthly amount available for 25 years is found from the amortization formula:
A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16
__
16. The amortization formula is used for this, too.
8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P
P = $8066/0.00833568 = $967,647.66
can u pls help me with this question
Answer:
uhm b but don't fully believe me if someone else answers i suggest using theirs
Step-by-step explanation:
What equivalent ratios are less but equivalent to 40:20?
i already have 2:1 and 20:10 and 4:2 and 8:4
Answer:
5:1
Step-by-step explanation:
You would divide 40:20 by 10 on both sides and it would be 10:2. You divide again by 2, to get 5:1.
10:5
12:6
14:7
16:8
18:9
22:11
24:12
26:13
28:14
30:15
32:16
34:17
36:18
38:19
what is b output when the input, a is 6
b=-1-7a
Answer:a
Step-by-step explanation:
Help please! I beg you
For a standard normal distribution, find:______. P(z < -0.34) Express the probability as a decimal rounded to 4 decimal places.
Answer:
36.69%
Step-by-step explanation:
Given a standard normal distribution :
P(Z < - 0.34) :
Using the Z distribution table :
Look up the value - 0.3 down the row and 0.04 a cross the column. The value at the intersection of the two points gives the required proportion:
P(Z < - 0.34) = 0.3669
0.3669 as a percentage = 0.3669 * 100% = 36.69%
The value can also be obtained using the Z probability calculator.
Will give brainlest and heart if correct sooo yeah
Answer:
(5,-2)
Step-by-step explanation:
When dilating, you multiply the point with the scale factor. 10*1/2 is basically dividing by 2. 10/2 is 5. -4/2 is -2.
Therefore, the correct answer is (5,-2)!
Hope I helped!!!!
Last week Rachel walked 235 miles per day on each of the 7 days. During the same week, she also jogged 534 miles per day on 4 days. What is the total number of miles Rachel walked and jogged last week?
Answer:it should'nt be hard :)
Step-by-step explanation:
Answer:
3,781 miles
Step-by-step explanation:
Do 235x7 and 534x4. then add the two together. srry if im wrong btw. the total should be 3,781 .-.
Which expression has a positive quotient?
Answer:
The first one.
Step-by-step explanation:
- 9/12 + 9/12 explain
WHO EVER IS GUD AT MATH
PLZ HELP ASAP
Answer:
the 2nd one I think i mean I forget stuff but not math that much