Answer: 3.14285714.....
Step-by-step explanation:
pi is [tex]\dfrac{22}{7}[/tex]
[tex].\quad \underline{\ 3.14285714}\\.\ 7)22.0000000\\.\ \ \underline{-21}\\.\qquad 10\\.\qquad \underline{- 7}\\.\qquad\ \ 30\\.\quad\ \ \ \underline{-28}\\.\qquad \ \ \ 20\\.\quad\ \quad \underline{-14}\\.\qquad \quad \ \ 60\\.\qquad \quad \underline{-56}\\.\qquad \qquad \ 4[/tex]
Thiis is a non-terminating and non-repeating decimal.
Answer:
3.
141592653589793238462643383279502884197169399375105
82097494459230781640628620899862803482534211706798
21480865132823066470938446095505822317253594081284
81117450284102701938521105559644622948954930381964
42881097566593344612847564823378678316527120190914
56485669234603486104543266482133936072602491412737
24587006606315588174881520920962829254091715364367
89259036001133053054882046652138414695194151160943
30572703657595919530921861173819326117931051185480
74462379962749567351885752724891227938183011949129
83367336244065664308602139494639522473719070217986
09437027705392171762931767523846748184676694051320
00568127145263560827785771342757789609173637178721
46844090122495343014654958537105079227968925892354
20199561121290219608640344181598136297747713099605
18707211349999998372978049951059731732816096318595
02445945534690830264252230825334468503526193118817
10100031378387528865875332083814206171776691473035
98253490428755468731159562863882353787593751957781
85778053217122680661300192787661119590921642019893
80952572010654858632788659361533818279682303019520
35301852968995773622599413891249721775283479131515
57485724245415069595082953311686172785588907509838
17546374649393192550604009277016711390098488240128
58361603563707660104710181942955596198946767837449
44825537977472684710404753464620804668425906949129
33136770289891521047521620569660240580381501935112
53382430035587640247496473263914199272604269922796
78235478163600934172164121992458631503028618297455
57067498385054945885869269956909272107975093029553
21165344987202755960236480665499119881834797753566
36980742654252786255181841757467289097777279380008
16470600161452491921732172147723501414419735685481
61361157352552133475741849468438523323907394143334
54776241686251898356948556209921922218427255025425
68876717904946016534668049886272327917860857843838
27967976681454100953883786360950680064225125205117
39298489608412848862694560424196528502221066118630
67442786220391949450471237137869609563643719172874
67764657573962413890865832645995813390478027590099
46576407895126946839835259570982582262052248940772
67194782684826014769909026401363944374553050682034
96252451749399651431429809190659250937221696461515
70985838741059788595977297549893016175392846813826
86838689427741559918559252459539594310499725246808
45987273644695848653836736222626099124608051243884
39045124413654976278079771569143599770012961608944
16948685558484063534220722258284886481584560285060
16842739452267467678895252138522549954666727823986
45659611635488623057745649803559363456817432411251
50760694794510965960940252288797108931456691368672
28748940560101503308617928680920874760917824938589
00971490967598526136554978189312978482168299894872
26588048575640142704775551323796414515237462343645
42858444795265867821051141354735739523113427166102
13596953623144295248493718711014576540359027993440
37420073105785390621983874478084784896833214457138
68751943506430218453191048481005370614680674919278
19119793995206141966342875444064374512371819217999
83910159195618146751426912397489409071864942319615
67945208095146550225231603881930142093762137855956
63893778708303906979207734672218256259966150142150
30680384477345492026054146659252014974428507325186
66002132434088190710486331734649651453905796268561
00550810665879699816357473638405257145910289706414
01109712062804390397595156771577004203378699360072
30558763176359421873125147120532928191826186125867
32157919841484882916447060957527069572209175671167
22910981690915280173506712748583222871835209353965
72512108357915136988209144421006751033467110314126
71113699086585163983150197016515116851714376576183
51556508849099898599823873455283316355076479185358
93226185489632132933089857064204675259070915481416
54985946163718027098199430992448895757128289059232
33260972997120844335732654893823911932597463667305
83604142813883032038249037589852437441702913276561
80937734440307074692112019130203303801976211011004
49293215160842444859637669838952286847831235526582
13144957685726243344189303968642624341077322697802
80731891544110104468232527162010526522721116603966
65573092547110557853763466820653109896526918620564
76931257058635662018558100729360659876486117910453
34885034611365768675324944166803962657978771855608
45529654126654085306143444318586769751456614068007
00237877659134401712749470420562230538994561314071
12700040785473326993908145466464588079727082668306
34328587856983052358089330657574067954571637752542
02114955761581400250126228594130216471550979259230
99079654737612551765675135751782966645477917450112
99614890304639947132962107340437518957359614589019
38971311179042978285647503203198691514028708085990
48010941214722131794764777262241425485454033215718
53061422881375850430633217518297986622371721591607
71669254748738986654949450114654062843366393790039
76926567214638530673609657120918076383271664162748
88800786925602902284721040317211860820419000422966
17119637792133757511495950156604963186294726547364...
Step-by-step explanation:i hope this helps!!!!!!
and i looked it up. i just want you to know that.
lol
-53 + n = -28 solve for n
Answer:
n will be equal 25
Step-by-step explanation:
-53 + n = -28
collect like terms, and we will have
n = -28 + 53
n = 25
Answer: n = -25
Since, -23 + -25 = -53
The terms in a sequence are given by 3 + 2x. what are the first 6 terms in the sequence?
First 6 terms are 5, 7, 9, 11, 13 and 15
Step-by-step explanation:
Step 1: Given terms in the sequence = 3 + 2x. Find the first 6 terms.a(1) = 3 + 2 × 1 = 3 + 2 = 5
a(2) = 3 + 2 × 2 = 3 + 4 = 7
a(3) = 3 + 2 × 3 = 3 + 6 = 9
a(4) = 3 + 2 × 4 = 3 + 8 = 11
a(5) = 3 + 2 × 5 = 3 + 10 = 13
a(6) = 3 + 2 × 6 = 3 + 12 = 15
The coordinates of triangle BCD are B(8.2), C(11, 13) and D(2,6). Which equality proves that triangle BCD is isosceles? (d =
V(x2-x} + ()2 + y)2)
BC = CD
BC = BD
CD = BD
DB = CB
Answer:
BC=BD
Step-by-step explanation:
This is the correct answer for Usatestprep
Answer:
BC=CD
Step-by-step explanation:
What is the slope between (-4,4) and (-6,6)
[tex]\textsf{Let's calculate the slope of the line passing thought the points (-4, 4) and (-6, 6) } \\ \textsf{using the following formula: }\mathsf{m = \frac{\Delta y}{\Delta x}} \textsf{ where m is the slope of the line.}[/tex][tex]\textsf{So:}[/tex]
[tex]\mathsf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{4 - 6}{-4 - (-6)} = \dfrac{-2}{2} = -1}[/tex]
[tex]\textsf{Hence the slope is -1.}[/tex]
A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40
feet in front of the right goal post.
a) find the measure of ∠A and ∠B
b) which angle is larger, ∠A or ∠B?
c) from which point would you have a better chance of kicking the ball into the goal? Why?
Answer:
a) Angles A and B are 90 degree.
b) The 2 angles are equal
c) From point A having a better chance to kicking the ball in to goal
Step-by-step explanation:
a, b) 2 points are in front of the center and right post of goal. Because there is no detail, we can assume that point A, point B, center of goal, right goal post make up a rectangle. Therefore, the 2 angles are measured equally as 90 degree.
c) Because it's a rectangle, the distance between point A and center of goal is shorter than that between point B and center of goal.
To determine the measures of ∠A and ∠B and identify which is larger, trigonometry is used based on the geometry of the soccer goal and the distances given. ∠A is associated with a larger shooting angle and a better chance of scoring compared to ∠B.
Explanation:The situation presents a geometry problem involving a soccer goal and positions A and B. To find the measure of ∠A and ∠B, we can visualize the scenario as two triangles with a common side, the 24-foot width of the goal. The distance from the center of the goal to both points A and B is 40 feet. We can use trigonometry to solve for the angles.
For ∠A, we have a right triangle where the width of the goal forms one leg (half is 12 feet, as it is from the center), and 40 feet is the hypotenuse. Applying the cosine function:
cos(∠A) = adjacent / hypotenusecos(∠A) = 12 / 40
Calculating this gives ∠A.
For ∠B, the full width of the goal (24 feet) is the adjacent side of the right triangle, and 40 feet again is the hypotenuse. Therefore:
cos(∠B) = adjacent / hypotenusecos(∠B) = 24 / 40
Calculating this gives ∠B.
Comparing the cosine values will indicate which angle is larger, since a smaller cosine correlates with a larger angle.
From which point would you have a better chance of scoring a goal? Since ∠A is larger, it represents a wider view of the goal, suggesting that kicking the ball from Point A provides a better chance of scoring because you see more of the goal, giving you a larger target area to aim at. This is an application of the concept of shooting angles in soccer.
which two beverages have a sum of 5/8 of the students votes favorite beverages iced tea 3/8 fruit juice 2/8 water 1/8 soda 2/8 _fraction of student votes
Answer:
The two beverages can be (iced tea,fruit juice) or (iced tea,soda).
Step-by-step explanation:
Given : Beverages iced tea [tex]\frac{3}{8}[/tex], fruit juice [tex]\frac{2}{8}[/tex], water [tex]\frac{1}{8}[/tex], soda [tex]\frac{2}{8}[/tex].
To find : Which two beverages have a sum of [tex]\frac{5}{8}[/tex] of the students votes ?
Solution :
We have to get the two beverages whose sum became [tex]\frac{5}{8}[/tex] .
The possible ways are
1) Iced tea + Fruit juice = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Fruit juice = [tex]\frac{5}{8}[/tex]
2) Iced tea + Soda = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Soda = [tex]\frac{5}{8}[/tex]
Therefore, the two beverages can be (iced tea,fruit juice) or (iced tea,soda).
(−3x − 6)(3x2 − 6x + 3)
From Sim’s house to the lake is 30 kilometers. If he completed the round trip on his bike in 2 hours and 30 minutes, what was his average speed in kilometers per hour?
Solution:
Given that,
Distance = 30 km
Time = 2 hours 30 minutes
We know that,
[tex]1\ minute = \frac{1}{60}\ hour\\\\Therefore\\\\30\ minute = \frac{30}{60} = 0.5\ hour[/tex]
Thus,
Time = 2 hour + 0.5 hour = 2.5 hour
The average speed is given as:
[tex]Average\ speed = \frac{ total\ distance}{total\ time\ taken }[/tex]
Therefore,
[tex]Average\ speed = \frac{60}{2.5} = 24[/tex]
Thus average speed is 24 km/hr
For what number A does the equation 3Ax - 24 = 5x - 9 + x$ have no solutions for x?
HELLLLPPPP
Answer:
A=2
Step-by-step explanation:
3Ax - 24 = 5x - 9 + x (simplifying the right side)
3Ax - 24 = 6x - 9
Equating the term x,
It will have no solution when 3A = 6 ⇒ A = 2
To see why:
3(2)x - 24 = 6x - 24
and this can never equate to 6x - 9 and have no solutions for x.
a farmers land is separated into sections of size 2 1/7 acres. Suppose there are 2 2/3 such sections. how many acres of land does the farmer own
Answer:
5 5/7 acres
Step-by-step explanation:
The product is ...
(2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres
= 5 5/7 acres
The farmer owns 5 5/7 acres of land.
The farmer's land amounts to approximately 5.71 acres. The problem involves conversion of mixed numbers to improper fractions and multiplication.
Explanation:The problem involves the concepts of multiplication and fractional numbers in mathematics. If one section is 2 1/7 acres and there are 2 2/3 such sections, you multiply these two amounts to find the total acreage. First, convert the mixed numbers to improper fractions: 2 1/7 becomes 15/7, and 2 2/3 becomes 8/3. Multiply the numerators together (15*8=120) and the denominators together (7*3=21) to get 120/21, which simplifies to about 5.71 acres.
Learn more about Fractions here:https://brainly.com/question/33564650
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I need help with this problem
Yo sup??
net population of Mexico and Canada is= 110.65+33.89
=144.54 million
net population of US=317.64 million
difference=317.64-144.54
=173.1 million
Hope this helps
Hello Red, Need help training your charizard?
Anyways
if you add 110.65million and 33.89million, you would get
144.54
now the united states has a population of 317.64 million
317.64- 144.54= 173.1
so the U.S has 173.1 million more than Canada And Mexico Combined
Calculate mean, median, and mode for each set of data. IQ’s: 78, 79, 87, 88, 101, 120, 132
Answer:The median is 88,The mode is none because they all repeat the same. The mean is 97.9
Step-by-step explanation:
Answer
The median is 88. The mode is none because they all repeat the same. The mean is 97.9
Step-by-step explanation:
What value does the red dot represent on the number line?
I think it's 6/7, but i'm not sure
Answer:
The answer is 5/6
Step-by-step explanation:
There are five sections in between 0 and 1; since the dot is five sections away from zero out of six sections, it is 5/6.
Mr. Duncan mixed 0.00055 pounds of sulfur and 0.00104 pounds of iron powder in a test tube before heating it. What is the total weight of the mixture in the test tube?
Answer:
1.59 × 10-3 pounds
Step-by-step explanation:
Add the weights of the sulfur and iron powder to find the total weight of the mixture.
First, write both numbers in scientific notation.
Now that both numbers are written in scientific notation, compare the exponents. Since both exponents are not the same, rewrite 5.5 × 10-4 as 0.55 × 10-3. Now the numbers multiplied by the powers of 10 can be added while keeping the power of 10 the same.
So, the total weight of the mixture in the test tube is 1.59 × 10-3 pounds.
. What is a Golden Rectangle? Why is it important in architecture and art? Look around you right now. Do you see anything that looks like a Golden Rectangle in your classroom?
Answer:
see below
Step-by-step explanation:
A golden rectangle is one that has an aspect ratio of the "golden ratio". That ratio is an irrational number:
Φ = (1+√5)/2 ≈ 1.618034
This number is the positive solution to the equation ...
x = 1/(x -1)
__
Books have been written about the properties of the Golden Ratio and all the ways it shows up in Nature and in mathematics. For example, the ratios of sequential numbers in the Fibonacci sequence approach the Golden Ratio in the limit.
__
The proportion is often called the "divine proportion" because of the ways it shows up in nature. Some say a rectangle with this proportion is most pleasing to the eye. Hence, it may show up in architecture and art for that reason. A 5×8 photo is approximately this shape.
(The 1.6:1 aspect ratio is one that used for some video screens. It isn't quite as wide as the 16:9 aspect ratio seen more commonly. It is somewhat longer and narrower than the aspect ratio of common paper sizes.)
_____
The attached graph shows rectangles with the proportion of Φ.
A Golden Rectangle is a rectangle with side lengths in the golden ratio (approximately 1:1.618), known for its aesthetically pleasing proportions. Its importance in architecture and art stems from its use to create harmonious and balanced designs. Students often study golden rectangles to improve their understanding of symmetry and composition in art and architecture.
A Golden Rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1 : 1.618. This ratio is also known as Phi. The significance of the golden rectangle in architecture and art lies in its aesthetically pleasing proportions which have been utilised since antiquity. It is believed that the human eye finds shapes and proportions based on the golden ratio to be naturally beautiful.
In architecture and art, the golden rectangle has been used to structure designs with a sense of harmony and balance. Modern artists such as Georges Seurat and Piet Mondrian have integrated the golden rectangle into their works to create compositions that are pleasing to the eye.
When constructing a golden rectangle, students may use a computer drawing program, maintaining its proportions even when resizing it. They can use this golden rectangle as a template over scanned images of Renaissance paintings or their own compositions, incorporating elements such as doorways or windows that conform to its proportions.
By understanding and using the golden rectangle, students can explore symmetry and visually satisfying geometrical forms, enhancing their artistic or architectural work.
Steve os three times as old as Thresa. in four years he will be twice as old as she will be. How old is each one?
Answer:
Theresa is 4 years old while Steve is 12
What is the solution to the equation x + 14 = 63?
Pleas help
Answer:
x = 49
Step-by-step explanation:
x + 14 = 63
x = 63 - 14
x = 49
Answer:
49
Step-by-step explanation:
Subtract 14 for both sides
Which of the following is the minimum value of the function y =
x2 + 6x + 6?
Answer:
y=8x+6
Step-by-step explanation: Just add the 2x and the 6x together to get 8x, then add 6. All I did was simplify the equation.
what is 6 and 2 thirds minus 2 and 4 fifths?
Answer:
58/15
Step-by-step explanation:
Step 1: Convert words into an expression
6 and 2 thirds minus 2 and 4 fifths
6 2/3 - 2 4/5
Step 2: Make common denominator aka 15
6 2/3 = 6*3/3 + 2/3 = 18/3 + 2/3 = 20/3
20*5 / 3*5 = 100/15
2 4/5 = 2*5/5 + 4/5 = 10/5 + 4/5 = 14/5
14*3 / 5*3 = 42/15
Step 3: Subtract
100/15 - 42/15
58/15
Answer: 58/15
The two-way table shows data for a florist’s inventory by flower and color. A 5-column table has 3 rows. The first column has entries roses, tulips, total. The second column is labeled red with entries 25, 11, 36. The third column is labeled Pink with entries 8, 14, 22. The fourth column is labeled white with entries 16, 12, 28. The fourth column is labeled total with entries 49, 37, 86. What is the probability that the florist randomly selects a tulip for a bouquet? P(tulip) = StartFraction 11 Over 37 EndFraction P(tulip) = StartFraction 37 Over 86 EndFraction P(tulip) = StartFraction 37 Over 49 EndFraction P(tulip) = StartFraction 49 Over 86 EndFraction
Answer:
37/86
Step-by-step explanation:
eh
The probability that the florist randomly selects a tulip for a bouquet using the given table is; 37/86
How to find probability from tables?From the given table we see that;
Total number roses = 49
Total number of tulips = 37
Now, we want to find the probability that the florist randomly selects a tulip for a bouquet. Thus;
P(selecting tulip for a bouquet) = total number of tulips/total number of bouquets
Thus;
P(selecting tulip for a bouquet) = 37/(49 + 37)
P(selecting tulip for a bouquet) = 37/86
Read more about probability tables at; https://brainly.com/question/24756209
The length of a ribbon is 7/ 8 meter. Sun Yi needs pieces measuring 1/ 7 meter for an art project. What is the greatest number of pieces measuring 1 /7 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, divide the length of the ribbon by the length of each piece. The greatest number of pieces that can be cut is 6. Subtract the total length of the 6 pieces from the original length of the ribbon to find how much ribbon will be left.
Explanation:To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, we need to divide the length of the ribbon by the length of each piece. So, 7/8 divided by 1/7 is equal to (7/8) x (7/1) = 49/8 = 6.125. Since we can't have a fraction of a piece, the greatest number of pieces that can be cut is 6. This means 6 pieces measuring 1/7 meter can be cut from the ribbon.
To find out how much ribbon will be left after cutting the 6 pieces, we need to subtract the total length of the 6 pieces from the original length of the ribbon. Each piece measures 1/7 meter, so the total length of the 6 pieces is (1/7) x 6 = 6/7 meter. Subtracting this from the original length, we get 7/8 - 6/7 = 49/56 - 48/56 = 1/56 meter. Therefore, there will be 1/56 meter of ribbon left after Sun Yi cuts the ribbon.
Learn more about Division of Fractions here:https://brainly.com/question/17205173
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2 prime numbers with the sum of 34
Answer:
The two numbers are 15 and 19
Sure, the two prime numbers that add up to 34 are 17 and 17.
Solve the equation.
x2 − 6x − 7 = 0
Answer:
x = 7 and x = -1
Step-by-step explanation:
Step 1: Factor
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
Step 2: Solve for x
(x - 7)(x + 1) = 0
x - 7 = 0 and x + 1 = 0
x - 7 + 7 = 0 + 7 and x + 1 - 1 = 0 - 1
x = 7 and x = -1
Answer: x = 7 and x = -1
Angles P and Q are supplementary. If mZP is
32°, what is the mZQ?
Step-by-step explanation:
Supplementary angles add up to 180°
[tex]\therefore m\angle P + m\angle Q = 180° \\ \therefore 32 \degree+ m\angle Q = 180° \\ \therefore m\angle Q = 180° - 32° \\ \huge \purple{ \boxed{\therefore m\angle Q = 148°}}[/tex]
–2(g − 13) + 15 = 1
how do you do this
Answer:g=20
Step-by-step explanation:
-2g+26+15=1
-2g+41=1
-2g=1-41
-2g=-40
-40/-2= 20
Answer:
20=g
Step-by-step explanation:
-2g--26+15=1
-2g+26+15=1
-15 -15
-2g+26= -14
-26 -26
-2g= -40
-40/-2
g=20
A satellite is 6,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the satellite is from the point directly below it on Earth’s surface. The diagram is not to scale.
Answer:
3211 miles
Step-by-step explanation:
A right triangle can be used to model the geometry of the problem. One leg of it is the radius of the Earth. The leg at right angles to that is the satellite-to-horizon distance of 6000 miles. The hypotenuse of the triangle is the distance from the satellite to the center of the Earth, so the question will be answered by subtracting the Earth radius from that.
The Pythagorean theorem relates the various distances. Refer to the attachment.
AB² = AD² +BD²
(BC +4000)² = 4000² +6000² . . . . . . . . . . . . use given values
BC +4000 = 1000√(4² +6²) = 2000√13 . . . . take the square root
BC = 2000(√13 -2) . . . . . subtract 4000
BC ≈ 3211.1
The satellite is about 3211 miles from the point directly below it.
Change this radical to an algebraic expression with fractional exponents.
[tex]5\sqrt{x^3}[/tex]
Rational exponents
[tex]a^\frac{m}{n}[/tex]
work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.
In other words, we have
[tex]a^\frac{m}{n}=\sqrt[n]{a^m}[/tex]
So, in you case, we have
[tex]\sqrt[5]{x^3}=x^\frac{3}{5}[/tex]
Assuming that the question contanis a typo. If you actually mean [tex]5\sqrt{x^3}[/tex],
then you can write it as [tex]5x^\frac{1}{3}[/tex]
Find the volume of the prism.
22 m
26 m
The volume of the prism is
The volume of the triangular prism is 2,002 m³.
Step-by-step explanation:
Step 1:
The volume of a triangular prism can be determined by multiplying its area of the triangular base with the height of the prism.
The base triangle has a base length of 26m and a height of 7m.
The area of a triangle is given by; [tex]A = \frac{1}{2} (b)(h)= \frac{1}{2} (26)(7) = 91[/tex].
So the area of the triangle is 91 m².
Step 2:
The volume of the prism is determined by multiplying the area with the height.
The area is 91 m² and the height is 22m.
The volume = (area)(height) [tex]= (91)(22) = 2,002.[/tex]
The volume of the given prism is 2,002 m³.
A farmer has a plot of land
Answer:
good for the farmer
Step-by-step explanation:
Answer:
He can grow stuff
Step-by-step explanation:
Use the distributive property to write the following expression in expanded form. 3(2x+11y)
Answer:
6x + 33y
Step-by-step explanation:
3(2x+11y) Distribute the 3 to the 2x and the 11y separately
6x + 33y This is the expression in expanded form.
If this answer is correct, please make me Brainliest!
Answer: 6x+33y
Step-by-step explanation: