Answers
Answer:
B
Step-by-step explanation:
To solve this, we can make all of the numbers decimals.
π=3.14159265 and so on
Root 10 is about 3.16227766
22/7 is about 3.14285714
3.14 is already a decimal.
Now, our numbers are far easier to compare.
Let's put the numbers in increasing order.
3.14, 3.14159265, 3.14285714, 3.16227766
Substitute the original numbers in.
3.14, π, 22/7, Root 10
Therefore, option B is correct.
Related Questions
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answers
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
learn more about Pythagoras's theorem here :
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Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answers
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help
Answers
Answer:
The following two equations represent the reflected function:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Step-by-step explanation:
Following are two basic concepts of reflection a point or a function over an axis:
If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.In this question, the function is given:
f(x) = 5(1/5)ˣ
As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.
So the equation of reflected function is:
f(x) = 5(1/5) ⁻ˣ
We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.
(1/5)⁻ˣ = 5ˣ
So equation of reflected function can also be written as:
f(x) = 5(5)ˣ
Answer:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Answer the following: What is the area of the circle? (Will give brainliest)
Answers
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
Pie•5^2
Pie•25
A = 78.54
Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°
Answers
Answer:
Please mark me brainliest and I hope this helped!
w = 89°
Step-by-step explanation:
For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.
Answer:
89
Step-by-step explanation: I took the test
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answers
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
whats the difference between a sequence and a series?
Answers
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answers
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
0.8 divided by 0.2 equals?
Answers
Answer:
4
Step-by-step explanation:
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answers
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
Also, learn more about decimal expansions from the link below:
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Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answers
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answers
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answers
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answers
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answers
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Thomas got 12
30=3x+2x
30=5x
x=6
Alex: 3x=18
Thomas: 2x=12
In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answers
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answers
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answers
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answers
Answer:
I'm not sure, but I think it is (0, -6).
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answers
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
A battalion of 880 people is made up of four companies. Each company is made up of five platoons. Each platoon contains four squads. If each company has the same number of people, as do each platoon and each squad, how many people are in each squad?
Answers
Answer:
11 people are in each squad.
Step-by-step explanation:
A battalion of 880 people is made up 4 companies.
880/4 = 220 people
which means 1 company is made up of 220 people.
Each company is made up of 5 platoons.
220/5 = 44
which means each platoon is made up of 44 people
Each platoon contains 4 squads
44/4=11
which means each squad contains 11 people.
therefore each squad contains 11 people.
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Answers
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answers
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.
Answers
Answer:
the mean (average) is 4
Step-by-step explanation:
add all the numbers together (100) and then divide by the number of patients (25).
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answers
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answers
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
Learn more about Trigonometry here:
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Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answers
Answer: Number of Cavities
What is the inequality of -3x-3<6
Answers
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answers
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
Which of the following circles have their centers on the Y axis
Answers
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation: