Using the concept of circumference of a circle, the length of the minute hand is 16.5mm.
What is circumference of a circle?
The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference . The radius of the circle is considered when applying the formula to determine the circumference of the circle.
Circumference of circle(C) = 2πR
where,
R represents the radius of the circle
π is a constant with an approximate value of 3.14
Now, it is given that the tip of a minute-hand travels 103. 62mm in one hour which means that the minute hand moves 360 degrees.
This means that C= 103.62
So, using the concept of circumference of a circle,
C= 2πR
103.62= 2*3.14*R
So, R= 103.62/6.28
R=16.5mm
Hence, the length of the minute hand is 16.5mm.
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helpppppppppppppppp pls
Answer:
2167.7m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex]
= 2π(15m)²+2π(15m)(8m)
= 2167.7m²
The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
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Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
Willl mark you brainlieestttt
Answer:
√28 and √11
Step-by-step explanation:
Note : -
Irrational number is any real number that cannot be expressed as the quotient of two integers.
Here,
√28 = 5.291.......
5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.
Similarly,
√11 = 3.316......
Hence,
√28 and √11 are irrational numbers.
15. A pool can hold 850 gallons. It now has 598 gallons of
water and is being filled at the rate shown. How many
more minutes, m, can water continue to flow into the
pool before it overflows? Write and solve an inequality.
Then graph the solutions.
by using the distributive property and the greatest common factor what is 18+15
Answer:
33
Step-by-step explanation:
18 + 15 ← factor out 3 ( the GCF ) from each term
= 3(6 + 5)
= 3(11)
= 3 × 11
= 33
12 cm 11 cm 11cm find the volume
Volume:-
= 12 × 11 × 11
= 12 × 121
= 1452 cm³
Answer:
it is 1452 I believe (๑ↀᆺↀ๑)
A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0. 03 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate. A. ) What is the concentration of our solution in the tank initially?concentration = (kg/L)b. ) Find the amount of salt in the tank after 2. 5 hours. Amount = (kg)c. ) Find the concentration of salt in the solution in the tank as time approaches infinity. Concentration = (kg/L)
(a) The concentration of our solution in the tank initially is 0.060 kg/L. (b) the amount of salt in the tank after 2. 5 hours is 44.45 kg. (c) The concentration of salt in the solution in the tank as time approaches infinity is 0.030 kg/L.
How do you find the concentration of a salt solution?Divide the solute's gram weight by the total weight of the solution, then multiply the result by 100 to get the mass/mass percent of the solution. The amount of solute (measured in grams) per milliliter of solution is known as the mass/volume percent.
(A) Tank contains 60 kg of salt and 1000 L of water. So the concentration of solution in the tank initially = 60/1000 kg/l
The concentration of solution in the tank initially = 0.060 kg/L
(B) Let y(t) denote the amount of salt in the tank at any time t.
Rate In
A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.
[tex]R_{i}[/tex] =(concentration of salt in inflow)(input rate of solution)
= (0.03kg/L)*(9L/min)
= 0.27kg/min
Rate Out
The solution is mixed and drains from the tank at the same rate.
Concentration, C(t) = Amount/Volume = y(t)/1000
[tex]R_{out}[/tex] =(concentration of salt in outflow)(output rate of solution)
= {y(t)/1000}kg/L*9L/min
= 0.009y(t) kg/min
Therefore, the differential equation for the amount of Salt in the Tank at any time t:
dy/dt = 0.27 - 0.009y(t)
So the amount of salt in the tank after 2. 5 hours (2.5*60 min = 150 min) is 44.45 kg.
(c) The concentration of salt in the solution in the tank as time approaches infinity
As t -> -∞, e^-∞ = 0
so, the concentration of salt in the solution in the tank as time approaches infinity is 0.030 kg/L.
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Can some one help me with this question its hard :( down below ill give brainliest
Answer:
15 (C)
Step-by-step explanation:
everything else equals 125
Answer:
C. 15
Step-by-step explanation:
5*5*5, 5^3, and 5^2*5 all equal 125
PLEASE HELP
Using the ratio 26 black marbles to 2 white marbles, match the following to create the equivalent ratios.
Step-by-step explanation:
1:13
2:26
3:39
4:52
5:65
6:78
Rule - ×13
Response Question
How much do Americans pay for coffee on average? In a 2015 survey of 105 randomly selected U.S.
adults, the respondents were asked what price they paid for their most recent purchase of coffee.
The sample data had a mean of $3.42 and a standard deviation of $0.75.
Answer:
The right solution is "3.29, 3.57".
Step-by-step explanation:
Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.
The given values are:
Randomly selected adults,
[tex]n = 105[/tex]
Mean,
[tex]\bar{x} = 3.42[/tex]
Standard deviation,
[tex]s = 0.75[/tex]
Now,
At 95% confidence level if given by,
= [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]
On putting the given values, we get
= [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]
= [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]
= [tex]3.42 \ \pm \ 0.143[/tex]
= [tex]3.29, 3.57[/tex]
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?
number of seats
type of transmission
presence of a sunroof
fuel efficiency (in mpg)
answer is fuel efficiency
Since the family visits a car show to research information on vehicles they might consider purchasing. The option that is an example of a continuous quantitative variable that might be included in the brochure is option D: fuel efficiency (in mpg).
What is continuous quantitative variable?A continuous quantitative variable is a type of variable that can take on any value within a certain range, such as fuel efficiency which can take on any value between a certain range of miles per gallon (mpg). In contrast, a categorical variable can only take on a discrete set of values.
"Number of seats" is also a continuous quantitative variable, but it is a bit different in the sense that it only can take on a certain values, for example the possible values for number of seats in a car can only be 2,4,5,6, etc.
Type of transmission is not a continuous quantitative variable, but it's a categorical variable, it can only take certain values such as Automatic, manual, etc.
Note also that presence of a sunroof also not a continuous quantitative variable, but it's a binary categorical variable which has only two possible values: true (presence) and false (absence)
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
A
Step-by-step explanation:
The table below shows the times taken for
a group of athletes to finish a 200 m race.
Work out the percentage of the athletes
who took more than 28 s to finish the race.
Time, t(s)
24
26
28
30
Frequency
3
6
9
7
Therefore , the solution of the given problem of percentage comes out to be athletes who took move 285 to finish the race is 64%.
Define percentage.A percentage is what is used to describe a fraction of a whole when it is stated as a number range between 0 and 100. 100% of something, 50% of something, and 0% of something are all equal. After dividing the portion of the whole by the entire, multiply the result by 100 to arrive at a percentage.
Here,
For the table to get the total frequency is:
=> 3+6+9+7
=>9+9+7
=>25
The frequency greater than 285 is
9+7 = 16
So,
the percentage of the athletes who took move 285 to finish the race is:
=> 16/25 * 100
=> 0.64 * 100
=> 64%
Therefore , the solution of the given problem of percentage comes out to be athletes who took move 285 to finish the race is 64%.
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CAN YOU GUYS HELP PLSS
Answer:
200
Step-by-step explanation:
Answer:
First lets break this down.
20 inch
and 10
lxw+length x with
So,now we mulitply the area.
AFter we do the perimater.
Next step is to do our equation.
Your answer is 200
Step-by-step explanation:
Hope this helped g!
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Answer:
You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1
You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.
The three angles of a triangle have measures of 65 degrees, 15 degrees, and (x +42) degrees. What is x?
please !!! only a couple minutes left!! help
Answer:
58 degree is the value of x
A math club is having a bake sale. Find the area of the bake sale sign.
The Area of the sign is_ square feet
The bake sale sign has a 6 ft2 space.
What is area?
An object's area is how much space it takes up in two dimensions.
It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
The word "area" refers to a free space.
A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.
But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.
The majority of forms and things have corners and edges.
According to our question-
The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.
Area of a rectangle equals length times width.
The area of the bake sale sign = length * breadth
Hence, The bake sale sign has a 6 ft2 space.
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In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.
The minimum and maximum possible heights of the bowling pin are 14.96875 inches and 15.03125 inches
How to find the minimum and maximum possible heights of the bowling pin.From the question, we have the following parameters that can be used in our computation:
Absolute deviation = 0.03125 inches
Height = 15 inches
The minimum is calculated as
Minimum = Height - Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Minimum = 15 - 0.03125 inches
Minimum = 14.96875 inches
The maximum is calculated as
Maximum = Height + Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Maximum = 15 + 0.03125 inches
Minimum = 15.03125 inches
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The distance between two towns A and B is 16 cm. Find the actual distance, in km, that is represented by map scale 2 cm to 3 km.
Answer:
24x
Step-by-step explanation:
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. In how many week will he have enough money to the bike?Use the bar diagram to solve arithmetically. Then use an equatuio to slove algebraically.
Answer:
It will take him 9 weeks to be able to buy the bike.
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
What were the steps to lead us to this answer?So, we have:
- Cost of the bike = $189
- Money saved = $99
- Money saving each week = $10
We are trying to find how many weeks will he have enough money to the bike.
So, we are going to multiply and add the numbers to find are answer:
→ (n × $ 10) + $ 99 = $ 189
→ n × $ 10 = $ 90 n = $ 90 $ 10 n=9 weeks.
Therefore, Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
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what is 4 /25 in a whole number
Step-by-step explanation:
4/25 cannot be converted into a whole number, it is less than 1
Answer:
decimal = 0.15
whole number (rounded) = 0
please help me with this question!
Answer:
|5-2x|<_11
=5+2x<11
=2x=11-5
2x=6
=X<-3
please help with math
Answer:
i think linear
Step-by-step explanation:
let me know if this is wrong
The waitress had a table with a bill of $75.29 and received $12.80. What was the percent tip she received?
Answer:
17%
Step-by-step explanation:
Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%
what is the quotient of 6x^3+2x-x/x where x≠0
Answer:
6[tex]x^{2}[/tex] + 1
Step-by-step explanation:
[tex]\frac{6x^{3}+ 2x-x }{x}[/tex] combine 2x -x = x
[tex]\frac{6x^{3} + x}{x}[/tex]
[tex]\frac{x(6x^{2} + 1) }{x}[/tex] the x's cancel out
6[tex]x^{2}[/tex] + 1
Find the value of x that will make the statement true.
11, 12, 14, x, 22, 27; The median is 16.
When the recycling committee first formed, they conducted a survey to determine whether paper recycling was already common at their school. Out of 36 classrooms, 9 were using paper recycling bins.
What percent of the classrooms had paper recycling bins?
Answer:
25%
Step-by-step explanation:
9x4=9
1/4=25%
hope this helps
A cuboid has a volume of 24 cm^3. What can its maximum surface area be, if its length, breadth, and height are integers?
Answer:
76 cm^2
Step-by-step explanation:
Volume of the cuboid = Length(l)×breadth(b)×Height (h)
Given that
A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.
prime factor of 24 = [tex]2^3\times3\times1[/tex]
24 = 2×3×2×2×1
24= 12×2×1
or 24= 6×4×1
Now, for Surface area to be maximum we have to take dimensions as
12,2,1
SA = 2(lb+lh+bh)
=2(12×2+12×1+2×1)
= 76 cm^2
Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit
which conditional has a true converse? Select all that apply
А If a quadrilateral is a square, then it has four congruent sides,
B
If a polygon is a triangle, then it has 3 sides.
С.
If a quadrlateral is a rectangle, then it has two pairs of parallel sides,
D
If a number is even, then it is divisible by 2
E
If a number is prime, then the only factors of the number are itself and 1.