Answer:
the time is 1.57 sec and the distance is 49.32mm
Step-by-step explanation:
Given that,
The angle is 180°
Angular velocity is 2rev/sec
The radius is 10mm
we are to find the time and distance traveled at that time
The formula is
θ = at
where t is the time,
a is the angular velocity
θ is angle in radian
so,
θ = 180° × π/180°
θ = π
= 3.14
Hence ,
θ = at
3.14 = 2t
t = 1.57sec
let the distance be xmm
[tex]\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm[/tex]
Therefore , the time is 1.57 sec and the distance is 49.32mm
Answer:
a) 0.25 s
b) 15.71 mm
Step-by-step explanation:
Given:-
- The radius of the coin, r = 10 mm
- The angle swept by the coin, θ = 180°
- The frequency of ration of the coin, f = 2 rev /s
Find:-
How long will it take the coin to roll through the given angle measure at the
given angular velocity?
How far will it travel in that time?
Solution:-
- We will first determine the angular speed ( ω ) of the coin. That is the rate of change of angle swept. Mathematically expressed as:
ω = dθ / dt = 2*π*f
- Separate the variables:
dθ = 2*π*f . dt
- Integrate both sides.
∫dθ = 2*π*f ∫ dt
θ = 2*π*f*t
- The time taken to sweep an angle of ( θ ) is:
t = θ / 2*π*f
Where, θ is in radians. 180° = π radians
- Plug in the values:
t = π / 2*π*( 2 )
t = 1 / 4 = 0.25 s ... Answer
- The tangential speed (v) of any point on the circumference of a coin is. Considering only rolling motion of the coin:
v = r*ω = 2*r*π*f
- The velocity of the any point on the rolling coin circumference would be:
v = 2*(10)*π*(2)
v = 40π mm/s
- Since we are considering the coin as a rigid body and not a point mass. We have to determine the velocity of the center of mass of the coin ( Vcm ).
- Consider a coin as a circle. The point of contact of the between the circle ( coin ) is called the center of instantaneous velocity.
- Then mark two horizontal velocity vectors. One starts at the center of mass of the coin ( pointing right ): Denote this as the velocity of center of mass ( Vcm ).
- Other one starts from top most point lying on the circumference of the circle, this vector should be longer than the one made at center of mass (pointing right ): Denote this as the tangential velocity ( v ).
- Now joint the heads of two vectors ( v and Vcm ) with the center of instantaneous velocity ( contact between coin and surface ). Now make a vertical line that starts the top most point passing through center of mass and ends at the center of instantaneous velocity.
- We will end up with two similar triangles. We will use the law of similar triangle and determine the velocity of center of mass ( Vcm ):
2r / r = v / Vcm
Vcm = v / 2
- Evaluate the velocity of center of mass ( Vcm ):
Vcm = 40π / 2
Vcm = 20π mm/s
- Use the distance-speed-time relationship and determine how far the coin travelled ( s ) in the computed time in part a:
s = Vcm*t
s = 20π*0.25
s = 5π = 15.70796 mm
Answer: The distance travelled by the coin in the time interval of 0.25 seconds is 15.71 mm ( rounded to nearest tenth )
Donte simplified the expression below.
4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i.
What mistake did Donte make?
He did not apply the distributive property correctly for 4(1 + 3i).
He did not distribute the subtraction sign correctly for 8 – 5i.
He added the real number and coefficient of i in 4(1 + 3i).
He added the two complex numbers instead of subtracted.
Answer:
He did not apply the distributive property correctly for 4(1 + 3i).
Step-by-step explanation:
4 (1 + 3 i) minus (8 minus 5 i)
4 + 12i - 8 + 5i
-4 + 17i
Answer:
A. He did not apply the distributive property correctly for 4(1 + 3i).
Step-by-step explanation:
edg 2020
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x = -3 ±sqrt(27)
Step-by-step explanation:
x^2 +6x = 18
Take the coefficient of x
6
Divide by 2
6/2 =3
Square it
3^2 = 9
Add this to each side
x^2 +6x+9 = 18+9
6/2 or 3 is what is inside the (x+ )^2 on the left
(x+3) ^2 = 27
Take the square root of each side
sqrt((x+3) ^2) = ±sqrt(27)
x+3 = ±sqrt(27)
Subtract 3 from each side
x+3-3 = -3 ±sqrt(27)
x = -3 ±sqrt(27)
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The table displays the starting positions for the winners of 240 competitions. Calculate the chi-square test statistic X2 used to test the claim that the probability of winning is the same regardless of starting position.
Starting Position 1 2 3 4 5 6
Number of Wins 33 44 32 36 45 50
a.12.592
b.15.541
c.9.326
d.6.750
Answer:
d) 6.750
The chi - square value = 6.750
Step-by-step explanation:
Given data
Starting Position 1 2 3 4 5 6
Number of Wins (O) 33 44 32 36 45 50
Step(i) :-
mean = [tex]\frac{33+44+32+36+45+50}{6} = \frac{240}{6} =40[/tex]
Expected frequency = 40
Number of Wins (O) : 33 44 32 36 45 50
Expected frequency(E) : 40 40 40 40 40 40
(O - E ) : -7 4 -8 -4 5 10
(O-E)² : 49 16 64 16 25 100
[tex]\frac{(O-E)^2}{E}[/tex] : 1.225 0.4 1.6 0.4 0.625 2.5
Step(ii):-
The χ² test
χ² = ∑ [tex]\frac{(O-E)^2}{E}[/tex]
χ² = 1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75
The chi - square value = 6.750
Final answer:-
The chi - square value = 6.750
Please Help me
A restaurant has a build your own personal pizza on their express lunch menu. A customer can only choose one item from each category. The table below shows the different choices. How many different ways can a person order a lunch pizza?
A. 3
B. 9
C. 18
D. 27
True or false
Writing a check on an account with insufficient funds is allowed under certain conditions?
Ivan needs gas for his truck. He knows his truck holds 20 gallons of gas. His gas can does not measure gallons, though. It measures pints. How many times will he have to fill up his gas can to get his truck full of gas?
Answer: 160 times
Step-by-step explanation:
Need help on this question
Answer:
i belive it should add up to 180
Step-by-step explanation:
5×60=5×___tens
=_____tens
=______
Answer:
300
Step-by-step explanation:
5x60=5x6 tens it equal to 30 tens. 30 tens equals 300
Answer:
see below
Step-by-step explanation:
there are 6 tens in 60!
5x60 = 5 x 6 tens
= 30 tens
= 300
Calcula el 23 % de 175
Answer:40.25
Step-by-step explanation:
23% of 175
23/100 x 175
(23 x 175)/100
4025/100=40.25
Jack threw 20 darts at a dartboard. 30% of his darts hit the bullseye. How many of his darts DID NOT hit the bullseye?
Answer:
14
Step-by-step explanation:
The number that did hit the bullseye is ...
0.30 × 20 = 6
So, the number that did not is ...
20 -6 = 14
14 of Jack's darts did not hit the bullseye.
CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and E are correct
Step-by-step explanation:
lines DE and FG are congruent and so is angle DQE and GQF
Find the 70th term of the arithmetic sequence -26, -19, -12
Answer:
457
Step-by-step explanation:
The general term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (-26), and d is the common difference (7).
The 70th term of your sequence can be found by putting the numbers into this formula:
a70 = -26 +7(70 -1) = -26 +483
a70 = 457
The 70th term of the sequence is 457.
Giving brainliest to CORRECT answer.
Answer:
50b ≥ 560.
Step-by-step explanation:
Number of bikers on a team is b so the total number of miles ridden if each rides 50 miles is 50b. The team must complete at least 560 miles so the inequality is
50b ≥ 560.
PLEASE HEL0LP ME MY TEACHER IS NOT GOING TO BE HAPPY - MATHS !!!!
Answer:
No
Step-by-step explanation:
Since shape a has 32 squares
And shape b has 42
So b is bigger
A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater
Answer:
64 people can fit in the theater.
Step-by-step explanation:
If 60% is full then calculate how many people is it
[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]
64 is 40% of 160
So this many people can be accommodated in the theater
Answer:
64 more people can fit in the theater
Step-by-step explanation:
You need to find 60% of 160
10%=16 (divided by 10)
16×6=96
160 (total people)-96(60%)=64
a clock chimes once at 1, twice at 2, 3 times at 3, how many times would it chime in total at 12?
Answer:
12
Step-by-step explanation:
1=1-2=2-3=3-4=4-5=5-6=6-7=7-8=8-9=9-10=10-11=11-12=12
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.Find cos(a) in the triangle.
Choose 1 answer
Answer:
the correct answer is 35 / 37
PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!
Answer:
3. L(15055) is the number of pages ...
4. true
Step-by-step explanation:
3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.
__
4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...
D(2) < D(7) is TRUE
Need help. not in college
Panat has assets that total $9,500. His liabilities total $1,900. Which expression will find Patrick's net worth?
$9.500-$1.900
$1.900-$9.500
$1.900-$9.500
$9.500-$1.900
Helppp
Answer:
D
Step-by-step explanation:
assets total - liabilities/deductions = net worth
his income is what his net worth it, but liabilities is what you dont have. its what you owe/need to pay/dont own. subtracting these two will give you your real net wroth.
The correct expression to find Patrick's net worth is D: $9,500 - $1,900.
What is the net worth?The difference between an individual's assets and liabilities is described as net worth.
As per the question, Patrick's assets are given as $9,500 and his liabilities are given as $1,900.
To find his net worth, we need to subtract his liabilities from his assets.
Thus, the expression for Patrick's net worth is:
Net worth = Assets - Liabilities
Net worth = $9,500 - $1,900
Net worth = $7,600
Therefore, Patrick's net worth is $7,600.
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que es una proposicion
Answer:
En filosofía y lógica, el término proposición se usa para referirse a:Las entidades portadoras de los valores de verdad.Los objetos de las creencias y de otras actitudes proposicionales.El significado de las oraciones declarativas o enunciativas, como «el Sol es una estrella».
Step-by-step explanation:
does anyone know what is z to the power of 0 and w tot he power of -9? please help me put
Answer:
anything to the power of 0 is 1 but I can't see what the value of w is to answer the next value
Step-by-step explanation:
Find the limit as x approaches 25:
x-25
√x-5
x - 25 = (√x)^2 - 5^2 = (√x - 5)(√x + 5)
Then
(x - 25)/(√x - 5) = √x + 5
and as x approaches 25, we get a limit of √25 + 5 = 5 + 5 = 10.
Pleaseeeee helpppp please
Answer: I dont know i am only 9 years old i will call the internet police
Step-by-step explanation:
Answer:
[tex]g(x) = \sqrt{x+6} +3[/tex]
Step-by-step explanation:
It is the same function just translated differently on the coordinate plane. The origin goes from being at (-4,-2) to (-6,3) so I switched those variables in the equation. Just remember that anything in the parenthesis has to be the inverse sign than what you would think.
After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of the pan.which equation represents the number of pieces of lasagna that are left after dinner
Answer:
4 pieces leftStep-by-step explanation:
Initial number of pieces = 6
Number of pieces left:
6*2/3 = 2*2 = 4Answer:-
2/3 in terms of denominator 6 = 4/6
thus, there are 4 parts remaining (because, it was told that each lasanga was 1/6th part of the pan)
so,4/6 of a pan is 4 pieces.
Hope this helps you.
The box plot shows the number of home runs hit by 43 players during a baseball season which statement best describes the data
The following statement best describes the data as shown in the box plot-
The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median.
Box PlotA box plot is a standardized way of displaying the distribution of data based on a five-number summary that is minimum, lower quartile, median, upper quartile and maximum.
How to read a box plot diagram?The lower quartile of the box plot is represented by the far left-hand side of the box. Here, it is [tex]9[/tex].
The upper quartile of the box plot is represented by the far right-hand side of the box. Here, it is [tex]19[/tex].
The median of the box plot is represented by the vertical bar of the box. Here, it is [tex]15[/tex].
The spread on the box plot is represented by the horizontal distance.
So, spread between the lower quartile and median [tex]=(15-9)=6[/tex]
Spread between the upper quartile and median [tex]=19-15=4[/tex]
[tex]6[/tex] is greater than [tex]4[/tex]
Hence, the spread between the lower quartile and the median is greater than the spread between the upper quartile and the median as shown in the box plot.
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Answer:
The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median.
Step-by-step explanation:
The angle of elevation from the top of a building to the top of another is 45°.
The distance between the feet of these two buildings is 402 m.
What is the distance between the top of the two buildings?
Answer:
402m
Step-by-step explanation:
Set this up as a triangle and use trig to solve it:
tan(45) = y/402
y = 402*tan(45)
substitute: tan(45) = 1
y = 402 * 1
y = 402m
Express the inequality x≤−0.12 using interval notation.
Answer:
(0.12,∞)
Step-by-step explanation:
The inequality x>0.12 means "all numbers greater than 0.12." There is no upper end to the solution to this inequality. In interval notation, we express x>0.12 as (0.12,∞). Notice that the parenthesis symbol shows that the endpoint of the inequality, 0.12, is not included.
The inequality x ≤ - 0.12 is written in interval notation as,
⇒ x ∈ (- ∞, - 0.12 ]
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ x ≤ - 0.12
Now, We can write the inequality in interval notation as;
⇒ x ≤ - 0.12
⇒ x ∈ (- ∞, - 0.12 ]
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Which rectangular prism will have the largest volume
Answer:
You need to attach a picture or something.
Answer:
8
Step-by-step explanation:
