Answer:
the length of arc=
[tex]2\pi \times 6 \times \frac{60}{360} \\ 2\pi[/tex]km
A cylindrical cooler ha a diameter of 30 inche and a height of 24 inche. Runner in
a marathon can ue cone haped cup to get a drink from the cooler. If the cup have a
diameter of 3 inche and a height of 4 inche, how many full cup would be able to
be filled from the cooler?
So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.
What is volume of cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."
Given that,
diameter of cylinder = 30 inch
diameter of cup = 3 inch
height of cylinder = 24 inch
height of cup = 4 inch
Calculate the volume of the cylinder:
Volume = πr²h
putting the values we get:
Volume = (3.14)(30/2)²(24)
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
Volume = 16959 in³
Calculate the volume of the cup:
Volume = (3.14)(3/2)²(4)
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
Result
Volume = 28.26 in³
Divide the volume of the cylinder by the volume of the cup, we get:
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
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Can someone please tell me this answer it is for a very major grade and I have 2 weeks of school left and I really wanna pass (15+x=20)
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
15+x=20
or, x=20-15
or, x=5
400 people are asked if they drink tea. [tex]\frac{7}{10}[/tex] say Yes and 20% of the people who say Yes drink at least 3 cups each day.
I really need help on a) Complete the frequency tree, I don't know how to work that one out.
The missed value in the frequency tree is 224.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that 400 people are asked if they drink tea.
7/10 say Yes and 20% of the people who say Yes drink at least 3 cups each day
7/10 of 400 is 280
Which means 280 people drink tea.
The remaining people does not drink tea.
Remaining =400-280=120.
Now let us find 20% of 280
20/100×280
0.2×280=56
So 56 drink at least 3 cups each day.
280-56=224
So 224 people drink tea but not three cups.
Hence, the missed value in the frequency tree is 224.
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Vanessa draws one side of equilateral AABC on the coordinate plane at points A(-2, 1) and B(4,1). What are the possible coordinates of vertex C? Select all that apply.
Answer:
Step-by-step explanation:
Answer E is the only one that is close
If a_1=7a
1
=7 and a_n=a_{n-1}+5a
n
=a
n−1
+5 then find the value of a_5a
5
The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.
Using the recursive formula:
a_2 = a_1 + 5a = 7a + 5a = 12a
a_3 = a_2 + 5a = 12a + 5a = 17a
a_4 = a_3 + 5a = 17a + 5a = 22a
a_5 = a_4 + 5a = 22a + 5a = 27a
so a_5 = 27a
This is the final result and no need to calculate more.
Thus the final value of a_5 is 27a.
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Which angle measures are correct? Select three options.
O m 2= 125°
m 3 = 55°
O m 8= 55°
O m 12= 100°
O m14 = 100°
Answer:
Step-by-step explanation:
analyze the graph, we found ∠1=∠5,∠2=∠6,
one.because ∠5+∠6=180, so ∠2=∠6=180-∠5=180-55=125
two.∠3=∠2=125
three.∠8=∠5=55
four.∠12=∠9=80
five.∠14=∠10=180-∠9=100
so, the three options are ∠2,∠8,∠14
If AnB= {2,4}
AnB'= {0,1}
AUB= {0,1,2,3,4,5}, Then what is B\A?
Answer:
I don't know I'm just a grade 6 girl
hey! please help i’ll give brainliest
Answer: The answer is -ing (D)
Step-by-step explanation:
Find the lowest common denominator of 1/3 and 2/5
Answer:
The lowest ccommon denominator (or LCD) of 1/3 and 2/5 is 15.
Step-by-step explanation:
The lowest multiple of 3 and 5 is 3*5 = 15.
In terms with the LCD, 1/3 now equals 5/15; and 2/5 now equals 6/15.
Hope this helps :)
One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48
Answer:
d) 48
Step-by-step explanation:
1/6n = 4 + 1/12n
2/12n = 4 + 1/12n
subtract 1/12n from each side to get:
1/12n = 4
cross-multiply:
n = 48
Darius has a cylindrical can that is completely full of sparkling water. He also has an empty cone-shaped paper cup. The height and radius of the can and cup are shown.
Darius pours sparkling water from the can into the paper cup until it is completely full. Approximately, how many centimeters high is the sparkling water left in the can?
Answer: 6.2
Step-by-step explanation:
Tlaloc pumped up 565656 ball. He pumped up 555 dodge ball for every 999 other ball. Complete the table. Original ratio Number Tlaloc pumped up
Dodge ball 555
Other ball 999
Total ball
5656
20 dodgeballs have been pumped up by Ttaloc.
Ttaloc has 36 additional pumped-up balls.
The complete ball's original number is 14.
The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).
The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20
The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.
A ratio in mathematics demonstrates how many times one number is present in another.
A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.
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ASAP
-will mark brianlist
Answer:
3
Step-by-step explanation:
12 × 3 = 36
12 × 5 = 60
36 + 60
Have a good day :)
Answer:
3
Step-by-step explanation:
Let's double check:
12 x 3 = 36
12 x 5 = 60
36 + 60, it fits!
What are tractable and intractable problems?
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
Define tractable problem.An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.
Here,
Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.
This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.
Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
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the sum of 8 times a number and 6 is 3
Answer:
[tex]\large \mathbb{ANSWER:-}[/tex]
Sum of the numbers = 3
One number = 6
Other number = 8x
⎇ Equation = 8x + 6 = 3
Other number = ?
[tex]8x + 6 = 3 \\ 8x = 3 - 6 \\ 8x = - 3 \\ x = \frac{ - 3}{8} \\ x = - 0.375 [/tex]
➟ The value of x in fraction form is - 3/8 while in decimal form is - 0.375
[tex]8x = (8 \times \frac{ - 3}{8} ) \\ 8x = - 3[/tex]
⎆ The value of 8 times a number or 8x is - 3.
Answer:
Fraction form of the answer is -3/8. Decimal form is 0.375
Step-by-step explanation:
Change this into a number equation -----> 8x + 6 = 3
The graph below is an example of which type of function? On a coordinate plane, a function decreases, has a point of inflection, and then continues to decrease. quadratic linear cubic square root
Answer:
Cubic
Step-by-step explanation:
Answer:
cube
Step-by-step explanation:
77:9 =
nt :
is there anyone named christina mansell?
Christian Mansell (born 9 February 2005) is an Australian racing driver set to compete in the 2023 FIA Formula 3 Championship with Campos Racing. He previously competed in the 2022 Neuroforamina Open Championship for Crypto Tower Racing, finishing in third overall in the standings.
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How do you know if a triangle is 30-60-90?
To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.
1. Measure the angles of the triangle.
2. Check if the angles measure 30°, 60° and 90°.
3. Measure the sides of the triangle.
4. Check if the longest side is double the length of the shortest side and if the side opposite the 60° angle is the square root of 3 times the shortest side.
To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.
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11. Use the information to answer the questions.
A video streaming
company offers on-demand programming without a monthly contract. The company charges a connection fee plus a charge for each hour of video
streaming. The table shows the cost for up to three hours of video streaming for one connection fee.
Cost of Video Streaming
Video
Streaming 0 1
(hours)
$0.75 $1.25 $1.75 $2.25
N
3
Cost
How much is the connection fee for video streaming?
Answer: $
Answer:
0.75
Step-by-step explanation: 2 weeks late >_<
Aubrey's Pie Shop recently sold 6 cherry pies and 14 other pies. What is the experimental probability that the next pie sold will be a cherry pie?
Answer:
Step-by-step explanation:
Aubrey's Pie Shop recently sold [tex]20[/tex] pies in total, [tex]6[/tex] of them being cherry pies, so the experimental probability is [tex]\dfrac{6}{20} = \dfrac{3}{10} = 30\%[/tex] chance of the next one being a cherry pie.
which equation represents a line perpendicular to the given line x-4y=7
The equation of the line perpendicular to x - 4y = 7 can be written as:
y = 4*x + b
Where b could be any real number.
Which equation represents a line perpendicular to x - 4y = 7?Two lines are perpendicular if the product between the slopes of the lines is equal to -1.
Where a general line in the slope-intercept form is written as:
y =a*x +b
And the given line is:
x - 4y = 7
Writing this in the slope-intercept form we will get:
-4y = -x - 7
y = (-1/4)*x + 7/4
So the slope is -1/4, then the slope of our line must be such that:
a*(-1/4) = -1
a = -4*-1 = 4
a =4
So the line perpendicular to the given one is:
y = 4*x + b
Where b can be any real number.
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HELPPPPPPP MEEEEE
If a trapezoid has an area of 135cm^2 and it’s height is 10cm and one base is 12 cm, find the other base length.
thxxx <333
The length of other base is 15 cm.
The area of a trapezoid can be found by using the formula:
Area = (b1+b2) * h / 2 where b1 and b2 are the lengths of the bases, and h is the height.
Given that the area of the trapezoid is 135 cm^2, the height is 10 cm, and one base is 12 cm, we can substitute these values into the formula to find the length of the other base.
Area = (b1+b2) * h / 2 = 135cm^2
We can solve for the other base length by isolating b1
b1 = 2*Area/h - b2
b1 = 2*135/10 - 12 = 27 - 12 = 15
So, the other base length is 15 cm.
Therefore, The length of other base is 15 cm.
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Select the correct answer.
Use the quadratic formula to solve the equation below.
x ( x + 16) = -64
Answer:
x = -8 (10
Step-by-step explanation:
x (x + 16) = -64
-8(10 + 16) = -64
-80 + 16 = -64
-64 = -64
Today in class, we did calculations with decimals. Reflect on how you made these calculations:
How did we compute products of dollar amounts that were not whole numbers?
For example, how would you compute the product of 3 student tickets at $4. 25 per ticket?
Use this example to explain your strategy.
As per the decimal number system, the cost of 25 tickets is $32.5
The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.
Here we have given that the product of 3 student tickets at $4.
Here we have know that the ticket cost for 3 students is $4.
Then the cost of one person is calculated by dividing the cost by the number of students then we get,
=> 4/3
=> 1.3
So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,
=> 25 x 1.3
=> 32.5
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The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area
Answer:
162cm squared
Step-by-step explanation:
The perimeter of a rectangle can be calculated by length+length+width+width.
We know the length is 18, so our equation of finding the width is:
54-(18*2) divided by 2.
54-36=18.
18/2=9.
The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.
18*9=162
•15 POINTS• don’t need to explain.
a.)
b.)
c.)
Answer: HL
Step-by-step explanation:
HL because the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.
Eating at the all-you-can-eat buffet at your favorite restaurant currently costs $18.50, and in cost by 6% each year
1.write a function that correctly depicts this scenario
2. How much will this cost 10 years from now ( round your answer to the nearest cent)
3 how much did this cost 15 years ago ( round your answer to the nearest cent
Answer:
The function that correctly depicts the scenario is:
cost(n) = 18.50 * 1.06^n
This function takes the number of years n as input and returns the cost of eating at the all-you-can-eat buffet after n years.
The cost of eating at the all-you-can-eat buffet 10 years from now can be calculated as follows:
cost(10) = 18.50 * 1.06^10 ≈ $30.59
The cost of eating at the all-you-can-eat buffet 15 years ago can be calculated as follows:
cost(-15) = 18.50 * 1.06^(-15) ≈ $8.01
Step-by-step explanation:
Help for easy points
Answer:
58 units²
Step-by-step explanation:
Using Pythagoras identity
The square on the hypotenuse ( third side ) is equal to the sum of the squares on the other 2 sides, then
area = 7² + 3² = 49 + 9 = 58
Step-by-step explanation:
Firstly: using pythagoras theorem
Hyp^2=adj^2+opp^2
Let the hyp be x
X^2=7^2+3^2
X^2=49+9
X^2=58
X=Square root 58
Let the side is root 58
Area of a square is L^2
Root 58×root 58
The area of the square is 58unit squ
Pls Mark as brainliest
What would you expect to happen if a pay rate of $13.50 per hour were offered?
Answer:
I'd take the job... althou I am a kid so money is like worth a lot to me
Hope this helps
plz like and brainly :D
would help me
Find the next two terms of this sequence 80,40,10, someone help pls
Answer:
first term(a)= 80
common ratio(r)= t2/t1 =40/80 =1/2
T4= ar^n-1
= 80*1/2^4-1
=80*1/2^3
=80*1/8
=10
then
t5=ar^n-1
= 80*1/2^5-1
=80*1/16
=5