A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month
Answer:f(x)=1.5-x + 8
Step-by-step explanation:
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
There are 48 empty seats and 52 occupied seats on an airplane. What is the ratio of the number of empty seats to the number of occupied seats?
Answer:
48/52
Step-by-step explanation:
The Area of a triangle of a triangle is 135ft. If The height is 15ft. What is the Length of the base?
Answer:
Step-by-step explanation:
The area of triangle is = 135 sq.ft
Height = 15 ft.
Base = ?(To be calculated)
We Know,
Area of triangle = 1/2 * Base * Height
therefore, 135 = 1/2 * base * 15
Base = 135 * 2 / 15 = 18 ft
Answer:
\(18 = b\)
Step-by-step explanation:
Given,
Area of a triangle of a triangle is 135ft.
The height is 15ft.
To Find: Length of the base?
Formula to find the base of a triangle
Area of a Triangle = \(\frac{1}{2}\)\(X\)\(bXh\)
\(135=\frac{1}{2} XbX15\\135=\frac{15}{2} Xb\)
\(\frac{135X2}{15} = b\\\\\frac{270}{15} = b\\18= b\)
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Please help −3?
On a number line, −2 is located to the left of −3.
On a number line, −2 is located to the right of −3.
On a number line, −2 is located to the left of 0 and −3 is located to the right of 0.
On a number line, −2 is located to the right of 0 and −3 is located to the left of 0.
Answer:
On a number line, −2 is located to the right of −3
Explanation:
It's better constructing a graph
In any case:
A.) On a number line, −2 is located to the left of −3.
-This is wrong. -2 is closer to the zero on the right thus, -3 is on the left of -2 and -2 is on the right of -3
B.) On a number line, −2 is located to the right of −3.
-This is correct
3.) On a number line, −2 is located to the left of 0 and −3 is located to the right of 0.
-This is wrong. Since both -2 and -3 are negative integers, both must be in the left of 0
4.) On a number line, −2 is located to the right of 0 and −3 is located to the left of 0.
-This is wrong. Since both -2 and -3 are negative integers, both must be in the left of 0
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
(blank)( bricks
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
(blank ) pounds
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
The owners of an amusement park selected a random sample of 200 days and recorded the number of park patrons with annual passes who visited the park on each selected day. They computed a 90% confidence interval for the number of patrons with annual passes who visit the park daily. How would you interpret the 90% confidence interval of (35, 51)? a. There is a 90% chance that the population mean number of patrons with annual passes who are in the park on any given day is between 35 and 51. b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day. c. Ten percent of the population of annual pass holders visit the park on any given day. d. There is a 90% chance that the sample percentage of park patrons with annual passes is contained in the interval 35 to 51.
Answer:
b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day.
Step-by-step explanation:
The confidence interval calculated from the sample at a particular confidence level, gives a certain percentage of confidence based on the confidence level that the true mean of the population exists within the confidence interval Calculated.
For the scenario above, we can say that there is a 90% chance that the population mean number of annual pass holders in the park on a given day is within the interval (35, 51)
Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected for the second quarter, a decrease of 10% for the third quarter, and an increase of 25% for the fourth quarter. 2. The sales price should be $75.00 for the first two quarters and $82.50 for the last two quarters.
Prepare the Production Budget assuming: 1. The company believes it can meet future sales needs with an ending inventory of 25% of the next quarter, for the first two quarters, and 35% of the next quarter, for the last two quarters. 2. The expected sales in units for the first quarter of 2021 is 11,000.
Answer:
Sales budget $ for the 4 quarters is $ 600,000 $ 720,000 $594000 and $ 825,000
Production Budget in units for the four quarters i s 7997.6 9000 8900 and 10,350 units
Step-by-step explanation:
Sales Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
Sales Price $75.00 $75.00 $ 82.50 $82.50
Sales $ 600,000 720,000 594000 825,000
We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.
Production Budget
Quarters I II III IV
Sales Volume 8000 9600 7200 10,000
+ Desired
Ending Inv. 2400 1800 3500 3850
Less Opening ----- 2400 1800 3500
Production 7997.6 9000 8900 10,350
We find the production budget units by adding the desired ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Destiny owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 4 small tiers and 4 large tiers, which will serve a total of 288 guests. The second one includes 3 small tiers and 5 large tiers, which is enough servings for 316 guests. How many guests does each size of tier serve?
A small tier will serve guests and a large tier will serve guests.
Answer:
small tier: 22large tier: 50Step-by-step explanation:
If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.
SetupLet 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...
4s +4l = 288
And the second cake serves ...
3s +5l = 316
SolutionSubtracting 3/4 of the first equation from the second gives ...
(3x +5l) -3/4(4s +4l) = (316) -3/4(288)
2l = 100
l = 50
4s +4(50) = 288 . . . substitute for l in the first equation
4s = 88 . . . . . . . . . . subtract 200
s = 22 . . . . . . . divide by 4
A small tier will serve 22 guests; a large tier will serve 50 guests.
JKL is an isosceles triangle. Jk=jl. JK = 2x+3, and KL=10-4x what is the perimeter of jkl
The perimeter of an isosceles triangle JKL will be 16.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
JKL is an isosceles triangle.
And, JK = JL
Measure of JK = 2x + 3 and KL = 10 - 4x
Now,
Since, JKL is an isosceles triangle.
And, JK = JL
Hence, Measure of JK = Measure of JL
So, The perimeter of a triangle = JK + JL + KL
Substitute all the values, we get;
The perimeter of a triangle = (2x + 3) + (2x + 3) + (10 - 4x)
= 2x + 3 + 2x + 3 + 10 - 4x
= 4x + 6 + 10 - 4x
= 16
Thus, The perimeter of an isosceles triangle JKL will be 16.
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Elizabeth Sold 3 fourths of 24 balloons at a festival how many balloons did she sell
Which choice is equivalent to the quotient shown here for acceptable values of X? A,B,C,D?
Answer: D
Step-by-step explanation: Cuz i just know
{Question 12} Please help! Need this by tonight! Thanks so much {Click on picture}
more help need 50 points
Answer:
9p-25
Step-by-step explanation:
always do parentheses first
-5(-10p + 8p -5)-p
multiply negative with negative gives positive
-5(-2p-5)-p
variable always has a 1 in front
10p-1p-25
9p-25
z(y+y); use y=3, and z=3
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}\)
Step-by-step explanation:
Given, y = 3 , z = 3
\( \sf{z(y + y)}\)
Plug the value of y and z
⇒\( \sf{3(3 + 3)}\)
Add the numbers : 3 and 3
⇒\( \sf{3 \times 6}\)
Multiply the numbers : 3 and 6
⇒\( \sf{18}\)
Hope I helped!
Best regards! :D
Prove that 3-2√5 is irrational.
Our assumption that 3-2√5 is a rational number is false, and hence it is an irrational number.
Let's prove that 3-2√5 is irrational. Let's suppose that 3-2√5 is a rational number, it means it can be represented as a ratio of two integers. Thus, we can write
3-2√5 = p/q, where p and q are integers with no common factors. Assume q≠0. Rearranging, we get:
3 = (2√5)q + p
Now, squaring both sides we get:
9 = 20q2 + 2pq√5 + p2(5)
Since p and q are integers, we have that 5q2 and p2(5) are both multiples of 5, and hence their difference is also a multiple of 5. Thus, 5 divides 9-p2(5) which means that 5 also divides (3-p)(3+p). Since 5 is prime and it divides the product of (3-p)(3+p), it must divide 3-p or 3+p (or both).
Hence, either 3-p or 3+p is divisible by 5. However, the possible values of p are ...,-3,-2,-1,0,1,2,3,... and thus p+3 is also in this set. Since 5 divides p+3, it must be the case that p+3 = 5n for some integer n. Hence p = 5n - 3. Now we have:
3 = (2√5)q + p = (2√5)q + (5n - 3)
Rearranging, we get:
(2√5)q = 6 - 5n
Since 2√5 is irrational, we have a contradiction because we have found that 2√5 is a rational number which is impossible.
Therefore, our assumption that 3-2√5 is a rational number is false, and hence it is an irrational number.
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DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
Do :
Answer the question correctly
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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
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Step-by-step explanation:
Please help! I need help with part B if 1000 students were surveyed what would the probability be of how many plays sports?
Answer:
188 students would play sports, out of 1,000.
Step-by-step explanation:
If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.
I need help again lol this one I really don’t know
Answer:
It's weight. A is right.
Answer:
A) Weight
Step-by-step explanation:
Think about what "pull of gravity" means. What force pulls you toward the center of the earth because of gravity? Weight of course.
If the price of potatoes used to make French fries increases, what will happen to ketchup?
a. Increase in supply c. Decrease in supply
b. Increase in demand d. Decrease in demand e. None of the above
Answer:
D
Step-by-step explanation:
RADICALS
simplify square root 40
NEED HELP ASAP!!!
Answer:
it is D
Step-by-step explanation:
Answer:
2square root of 10
Step-by-step explanation:
to find a simplification of a surd ,there must be a perfect square which you multiply w number to get square root of 40
Find the selling price, Cost to store:$120 Markup:60%
The selling price for the item would be $192.
To find the selling price, we need to consider the cost to store and the markup percentage. The markup percentage is 60%, which means the selling price will be 60% higher than the cost to store.
First, we calculate the markup amount by multiplying the cost to store by the markup percentage:
Markup amount = Cost to store * Markup percentage/100
= $120 * 60/100
= $72
Next, we add the markup amount to the cost to store to get the selling price:
Selling price = Cost to store + Markup amount
= $120 + $72
= $192
The selling price is determined by adding the markup amount, which is calculated by multiplying the cost to store by the markup percentage, to the cost to store itself. In this case, with a cost to store of $120 and a markup of 60%, the selling price would be $192.
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Determine the shaded area.The shaded area is(Round to two decimal places as needed.)
Given Data:
The radius of the circle is r=9 ft.
The side of the square will be twice the radius of the circle, i.e.a=18 ft.
The area of the shaded region can be determined by substracting the area of circle from the area of square,
\(\begin{gathered} A=A_s-A_c \\ =(18ft)^2-(\pi(9ft)^2) \\ =69.53ft^2 \end{gathered}\)Thus, the requried shade area is 69.53 square foot.
Solve the linear system using the elimination method. Type youranswer as an ordered pair in the form (#,#).5x + 7y = 3311x + 7y = 39
a 13 foot ladder is leaning against the side of a house when its base starts to slide away. by the time the base is 12 feet from the house, the base is moving at a rate of 5 feet per second.
If the base of the ladder is moving at 5 ft/s , then the speed of top of the ladder is 12ft/s .
Pythagoras Theorem states that the relation between the square of the longest side is equal to the squares of the other two sides .
the length of the ladder (L) = 13 ft ;
the rate of movement of the base (dx/dt) = 5 m/s ;
By Pythagoras Theorem ,
13 = x + y ....eqn(1)
So , y = √(169 - x)
putting x = 12 , we get ;
y = √(169 - 144) = 5 ft ;
Differentiating eqn(1) , w.r.t. "x" ,
we get ;
0 = 2x(dx/dt) + 2y(dy/dt)
So , dy/dt = (-x/y)(dx/dt)
putting the values ,
we get ;
dy/dt = -12 ft/s .
Therefore , the ladder is sliding down the wall at 12 ft/s .
The given question is incomplete , the complete question is
A 13 foot ladder is leaning against the house when its base starts to slide away. By the time it is 12 feet from the house, the base is moving at the rate of 5 ft/sec.
How fast is the top of the ladder sliding down the wall at that moment ?
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Find the midpoint of the segment with the given endpoints. G(5, –4) and H(11, 0)
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)
2 ( 3x + 1 ) = x - 8
Answer:
x=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
6x + 2 = x-8
6x - x = -8 -2
5x=-10
x=-2
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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