Answer:
7200 meters
Step-by-step explanation:
A piece of wood is designed in the shape of a cone. A cylindrical hole of radius 4cm and 2cm has been drilled into the base. The surface area of the piece of wood has to be painted, except from the area inside the hole work out the surface area to be painted give your answer in the terms of pi thank you
Answer:
= 80πcm²
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
Diameter of base = 12cm => its radius is: 6 cm Radius of hole = 4cmThe height: 8 cm=> Area of base = π(6²) = 36π cm²
=> Area of the hole = πr² = π(4²) = 16πcm²
As we know that, the surface area of the piece of wood has to be painted at base:
= Base area - area of hole
= 36π cm² - 16πcm²
= 20πcm²
For the curved surface area can be determined by the following formula:
Area = πrl where l is the slant height
Applying Pythagoras theorem, we have:
[tex]l^{2} = r^{2} + h^{2}[/tex]
<=> [tex]l^{2} = 6^{2} + 8^{2}[/tex]
<=> [tex]l^{2} =100[/tex]
<=> l =10
=> the curved surface area is: π*6*10 =60πcm²
Hence the total surface area to be painted is
= the curved surface area + he surface area of the piece of wood has to be painted at base
= 60πcm² +20πcm²
= 80πcm²
Hope it will find you well.
To find the surface area to be painted, calculate the total surface area of the cone and subtract the area of the cylindrical hole.
Explanation:To find the surface area to be painted, we need to calculate the total surface area of the cone and then subtract the area of the cylindrical hole.
The total surface area of a cone is given by the formula A = πr(r + l), where r is the radius of the base and l is the slant height.
In this case, the radius of the cone is the same as the radius of the base of the hole, which is 4 cm. We need to find the slant height of the cone, l.
By applying the Pythagorean theorem to the right triangle formed by the height of the cone, the slant height, and the radius of the cone, we can calculate the slant height as l = sqrt( h^2 + 4^2 ), where h is the height of the cone.
Since the height of the cone is not given, we will not be able to find the exact value for the surface area to be painted. However, we can provide the general formula based on the given information:
Surface area to be painted = (π * r1 * (r1 + sqrt( h^2 + r1^2 ))) - (2 * π * r2 * h),
where r1 is the radius of the base of the hole and r2 is the smaller radius of the hole.
Learn more about Calculating surface area of a cone with a cylindrical hole here:https://brainly.com/question/31403273
#SPJ3
what does 12×6×8 equal
Answer:
576
Step-by-step explanation:
If its helpful please mark me brainiest :>
Thanks ;p
Answer:
576
Step-by-step explanation:
12x6 = 72
72x8=576
576
Pablo drove 23.1 miles to his aunt’s house, then drove 19.24 miles to his friend’s house. Which estimate can Pablo use to determine the distance he drove altogether?
Answer:
I think the answer is 42.
Step-by-step explanation:
I estimated 23.1 to 23 miles then I estimated 19.24 to 24 and added 23+19=42. But I don't know if that is correct because there was no specification if we round to the whole number.
The actual distance is 42.34 miles. The total distance Pablo drove, is sum of distance of aunt's house an friend's house.
Pablo drove 23.1 miles to his aunt's house and then 19.24 miles to his friend's house.
To estimate the total distance driven, he can round the numbers to the nearest mile or to the nearest tenth to make the calculation easier. If rounding to the nearest mile, he can estimate 23 + 19 miles, which is 42 miles.
If rounding to the nearest tenth, he can estimate
23.1 + 19.2= 42.3 miles.
The actual total distance driven is 23.1 + 19.24 = 42.34 miles.
What is the measure of angle x
Answer:
105
Step-by-step explanation:
the middle angle is 75 degrees
co interior angles add up to 180 so 75 +105 = 180
pls vote me brainliest
question= graph y=4x-9
To graph y=4x-9, plot the y-intercept at (0,-9), then for each increase in x, y increases by 4. Draw a line through these points to describe the equation.
Explanation:To graph the equation y=4x-9, we need to identify the slope and the y-intercept. In this case the slope is 4, which means for each increase in x by 1, y increases by 4. The y-intercept is -9, which is the point where the line crosses the y-axis.
Start by plotting the y-intercept at (0,-9) on the graph. Then, for each unit increase in x, move up 4 units on the y-axis from the previous point. Drawing a line through these points will visualize the equation y=4x-9.
Learn more about Graphing Linear Equations here:https://brainly.com/question/14240165
#SPJ12
Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit. Use the calculator pi button. photo attached
Answer:
Area of Shaded Region: ( About ) 19.6
Step-by-step explanation:
~ To find the area of the shaded region, let us calculate the area of the circle, and the area of the hexagon, subtracting it's area from the area of the circle ~
1. Given a radius of 6 cm, let us calculate the area of the circle provided the area formula πr^2. Substitute the value of the radius, but keep π in terms of π until the end ⇒ π * ( 6 )^2 = 36π ⇒ ( About ) 113.1 units^2
2. To find the area of the hexagon, let us divide the hexagon into 6 triangles. All 3 of the sides of each triangle is 6 cm, provided these are equilateral triangles. We should calculate the area of each triangle, so let us draw an altitude for each of these Δs. Doing so, through Coincidence Theorem we split the segment drawn to the altitude into two ≅ parts, or 3 units each. That means that the altitude must be 3√3, by properties of 60-60-60 triangles. That being said, the area of one of the triangles: 1/2 * base * height ⇒ 1/2 * 6 * 3√3 ⇒ 9√3 units^2.
3. Knowing that all the 6 triangles are ≅, let us simply multiply the area of a of the triangles * 6 to recieve the area of the hexagon ⇒ 9√3 * 6 ⇒ 54√3 units^2
4. The area of the shaded region is now ⇒ 113.1 - 54√3 ⇒
Area of Shaded Region: ( About ) 19.6
By subtracting the area of the hexagon, from the area of the circle. The area of the shaded region is 19.6.
What is the area of the circle?
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = [tex]\pi r^{2}[/tex]
Given a radius of 6 cm,
The area of the circle = [tex]\pi r^{2}[/tex]
Substitute the value of the radius,
[tex]\pi ( 6 )^2 \\= 36 \times 3.14\\= 113.1 units^2[/tex]
The area of the circle is 113.1 units^2.
To find the area of the hexagon, let us divide the hexagon into 6 triangles. All 3 of the sides of each triangle are 6 cm, provided these are equilateral triangles.
The area of one of the triangles
[tex]=1/2 \times base \times height\\ \\= 1/2 \times 6 \times3\sqrt3 \\\\ =9\sqrt{3} units^2.[/tex]
The area of the triangles 6 times to receive the area of the hexagon
[tex]9\sqrt{3} \times 6 \\ \\54\sqrt{3} units^2[/tex]
The area of the shaded region = 113.1 - 54√3
= 19.6
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
The parallelogram shown below has an area of 35 units. find the missing height
Answer:
The missing height is 5 units
Step-by-step explanation:
Mathematically, the area of a parallelogram can be found using the formula below;
A = Base× Height
From the parallelogram diagram, we can identify that the base has a length of 7 units, a height of h units and an area of 35 square units
Substituting these values in the equation above, we have
35 = 7 × h
h = 35/7
h = 5 units
Answer:
5 real
Step-by-step explanation:
Please help me on this! Little confused
Answer:
c
Step-by-step explanation:
you start with $45 then for each number of days you pay $3
I nee d help asap!!!
D.
it's D the answer is d
Answer:
Option 1
Step-by-step explanation:
The points where the two functions intersect are the solutions.
Find the area of a regular hexagon with radius length 4 m.
If necessary, write your answer in simplified radical form.
Answer:
Step-by-step explanation:
24√3
The area of the regular hexagon with radius length 4 m will be 24√3 square meters.
What is regular hexagon?The polygon which is having six sides and each side are congruent. And each internal angle of the hexagon will be of 120 degrees.
The area of the regular hexagon is six times area of the equilateral triangle.
Area of regular hexagon = 6 x Area of the equilateral triangle.
The regular hexagon with radius length 4 m.
The area of the equilateral triangle will be
Area = (√3 / 4) x (side)²
Area = (√3 / 4) x 4²
Area = 4√3 square meters
Then the area of the regular hexagon with radius length 4 m will be
Area of regular hexagon = 6 x 4√3
Area of regular hexagon = 24√3 square meters
The area of the regular hexagon with radius length 4 m will be 24√3 square meters.
The diagram is attached below.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
#SPJ2
Which of the following expressions will help him determine the length of segment AC?
Answer:AC=AD•AB over AE
Step-by-step explanation:
3/5 of a page in 3/4 minutes
Answer:
3/5 of 1 page in 45 min
Step-by-step explanation:
what is -9 = 1 – 4b - 6
Answer:
B=4
Step-by-step explanation:
Answer:
b=-1
Step-by-step explanation:
To find the value of b, we need to isolate it.
This means moving all the numerical values to one side, and the variables to the toher.
First, we can add 6 to both sides
-3=1-4b
Subtract 1 from both sides
-4=-4b
Divide both sides by -4
-1=b
b=-1
The box plots show the average gas mileage of cars and minivans tested by a certain company. 2 box plots. The number line goes from 14 to 34. For cars, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For minivans, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19. Josef says that the range for the car data is greater than the range for the minivan data because the box in the box plot for the car data is wider. Which explains Josef’s error? Josef confused the range and the interquartile range. Josef confused the range and the median. Josef should have compared the medians and minimum values. Josef should have compared the medians and maximum values.
Question:
Options:
a. Josef confused the range and the interquartile range.
b. Josef confused the range and the median.
c. Josef should have compared the medians and minimum values.
d. Josef should have compared the medians and maximum values.
Answer:
The correct option is;
a. Josef confused the range and the interquartile range
Step-by-step explanation:
Here, we have
For cars
The range given as Minimum = 14 and Maximum = 34
The range of the whiskers is 21 to 33
The box range is 22 to 29
The dividing line of the box is at 24 is the median
For minivans
The range given as Minimum = 14 and Maximum = 26
The range of the whiskers is 14 to 26
The box range is 18 to 21
The dividing line of the box is at 19 is the median
Therefore, the range of the box plot for cars is the difference of the values at the ends of the whiskers, that is 33 - 21 = 8
The range for minivan = 26 - 12 = 14
Therefore, Josef's error is that, Josef confused the range and the interquartile range.
Answer:a
Step-by-step explanation:
There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One
of the seats is in first class, and the other is in coach. What error is made in the work shown below to
calculate the number of ways to choose the passengers to fill the seats?
101
10.9.8
(10-2)!21 81.2.1
10.9 90
2.
17 = 45
The correct formula for 10C2 was not used.
There is a multiplication error in the numerator.
The solution is for combinations, but the situation calls for permutations,
8! was incorrectly divided out of the numerator and the denominator.
Answer:
Step-by-step explanation: the awnser on edge is C the solution is for combinations, but the situation calls for permutations. Hope this helped :)
The error that is made in the work shown below is C. The solution is for combinations, but the situation calls for permutations.
What is permutation?It should be noted that permutations simply mean the ways that the objects from a set can be selected.
In this case, the error that is made in the work shown below is that the solution is for combinations, but the situation calls for permutations.
Learn more about permutations on:
https://brainly.com/question/12468032
#SPJ2
Select the correct answer.
What is the value of x?
A.
73°
B.
71°
C.
70°
D.
68°
Answer:
d 68
Step-by-step explanation:
do not know hope it maybe might help you sorry wish i could help
Answer: probably D but i dont know could be A, B, or C
Step-by-step explanation:
A covered bridge in Vermont has the dimensions shown
What is the volume of the roof rounded to the nearest tenths?
The volume of the traffic pylon is 7.26 cubic feet.
To find the volume of the cone-shaped pylon, we'll use the formula for the volume of a cone, which is [tex]\( \frac{1}{3} \pi r^2 h \),[/tex] where ( r ) is the radius of the base and ( h ) is the height.
Given that the height ( h ) of the pylon is 2.4 feet and the radius ( r ) is 1.7 feet, we can plug these values into the formula:
[tex]\[\text{Volume} = \frac{1}{3} \pi \times (1.7)^2 \times 2.4\][/tex]
Let's calculate this:
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times (1.7)^2 \times 2.4\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 2.89 \times 2.4\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 3.14159 \times 6.936\][/tex]
[tex]\[\text{Volume} \approx \frac{1}{3} \times 21.78\][/tex]
[tex]\[\text{Volume} \approx 7.26 \text{ cubic feet}\][/tex]
So, the volume of the cone-shaped pylon is approximately 7.26 cubic feet.
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
planning on building. What is the approximate area covered by pavers Each square is 3
square feet
Answer:
The most correct option is;
(B) 958.2 ft.²
Step-by-step explanation:
From the question, the dimension of each square = 3 ft.²
Therefore, the length of the sides of the square = √3 ft.
Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;
The dimension of the diameter of the small semicircle = 10·√3
Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3
Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²
Similarly;
The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3
∴ The dimension of the diameter of the large semicircle = 22·√3
Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3
Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²
Area of rectangle = 11·√3 × 17·√3 = 561
Area, A of large semicircle cutting into the rectangle is found as follows;
[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2[/tex]
Where:
[tex]\theta = 2\times tan^{-1}( \frac{The \, number \, of \, vertical \, squrare \, sides \ cut \, by \ the \ large \, semicircle}{The \, number \, of \, horizontal \, squrare \, sides \ cut \, by \ the \ large \, semicircle} )[/tex]
[tex]\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214[/tex]
Hence;
[tex]A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2[/tex]
Therefore; t
The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²
Therefor, the most correct option is (B) 958.2 ft.².
Rachel runs 9/10 mile in 5 minutes. How many miles does she run in
one minute?
Answer:
9/50 or 0.18
Step-by-step explanation:
If you divide both 9/10 and 5 by 5, you get 9/50 of a mile in 1 minute. Hope this helps!
Answer:
[tex]\frac{9}{50}[/tex] miles per minute.
Step-by-step explanation:
To solve this, you will need to divide the total amount run by 5 to find the amount of miles run per minute.
This can be done by dividing by 5 or multiplying by 1/5 to get:
[tex]\frac{9}{10} *\frac{1}{5} = \frac{9}{50}[/tex] miles in 1 minute.
36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?
Answer:
The answer is 45,000
Step-by-step explanation:
I hope this helps
Answer:
The answer is 45,000
Step-by-step explanation:
The marked price of a sweater at the clothing store was $24. During a sale, a discount of 25 percent was given. A further 15 percent discount was given to the customers who have the stores credit card. How much would a member customer need to pay for the sweater during the sale if the customer paid the stores credit card? Round your answer to the nearest cent.
A member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
What is credit card?Credit card is defined as a kind of credit product offered by banks that enables users to take out loans up to a pre-approved credit limit. Earn benefits like cashback or mileage points. security from credit card theft. Free credit score information. Absence of foreign transaction costs increased capacity to spend.
Costumer is defined as a person or organization that acquires goods or services from another corporation. Positive customer experiences are extremely important for brand awareness because they frequently result in word-of-mouth promotion.
Given the market price = $24
The percent initial discount = 25%
The percent final discount = 15%
The customer paid the stores credit card
= 24 x 0.75 = 18
= 18 x 0.85 = 15.3
Thus, a member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
To learn more about credit card, refer to the link below:
https://brainly.com/question/27350251
#SPJ2
Q
ot plot shows the results from a survey of third-graders' favorite numbers.
Survey of Third-Graders
plete the statement below about the dot plot.
(XXX)
1
2
3 4
5
6
7
8
9 10
Favorite Numbers
he total number of third graders voting for an even number is
Answer:
10
Step-by-step explanation:
All you have to do is count the number of answers imputed. Simple as that. If its a dot plot then just count the number of dots or x's
Find the two geometric means between 20 and 2500
Answer:
The two geometric means between 20 and 2500 are 100 and 500.Step-by-step explanation:
First of all we all should know about a geometric progression to solve this question.
A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.
where a is known as first term and
r is known as common ratio.
In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.
Formula for [tex]n^{th}[/tex] term in a geometric progression is:
[tex]a_{n} = a\times r^{n-1}[/tex]
Here [tex]a_{4}[/tex] = 2500
As per formula of [tex]n^{th}[/tex] term:
[tex]a\times r^{3} = 2500\\\Rightarrow 20 \times r^{3} =2500\\\Rightarrow r^{3} = 125\\\Rightarrow r = 5[/tex]
Now, 2nd term:
[tex]a_{2} = a \times r\\\Rightarrow a_{2} = 20 \times 5\\\Rightarrow a_{2} = 100[/tex]
Now, 3rd term:
[tex]a_{3} = a \times r^{2} \\\Rightarrow a_{3} = 20 \times 5^{2}\\\Rightarrow a_{3} = 500[/tex]
So, the two geometric means between 20 and 2500 are 100 and 500.
Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cover the garden
Answer:
She need 7 bags to cover the garden
Step-by-step explanation:
Diameter of circular garden = 16 feet
Radius of circular garden =[tex]\frac{16}{2} = 8 feet[/tex]
Area of circular garden =[tex]\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2[/tex]
30 sq.feet covered by no. of bags = 1
200.96 sq.feet covered by no. of bags = [tex]\frac{200.96}{30}=6.69[/tex]
Hence She need 7 bags to cover the garden
Jane will need 7 bags to cover her garden.
First, we need to find the area of Jane's garden. The formula for the area of a circle is A = πr², where r is the radius.
Calculate the radius: 16 feet diameter means the radius is 16 / 2 = 8 feet.Calculate the area: A = π(8)² = π(64) ≈ 3.14 x 64 ≈ 201.06 ft².Next, we determine how many bags of fertilizer are needed:
Each bag covers 30 ft².Total area needed: 201.06 ft².Divide the total area by the area each bag covers: 201.06 ft² / 30 ft²/bag ≈ 6.70 bags.Since Jane can't purchase a fraction of a bag, she will need to round up to the nearest whole number. Therefore, Jane will need 7 bags of fertilizer to cover her garden.
what is the volume of a sphere with a radius of 1/2
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi (\frac{1}{2} )^3[/tex]
[tex]V=\frac{4}{3}\pi (\frac{1}{8})[/tex]
[tex]V= 0.5233..[/tex]
So, the volume of the sphere would be 0.523.
Solve the quadratic equation: x^2-2x-48=0
Answer:
x=8, x=-6
Step-by-step explanation:
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Answer:
B. exponential
Step-by-step explanation:
By visual inspection, determine the best-fitting regression model for the scatterplot is Quadratic.
The graph reveals that,
The scatter plot behaves like a quadratic equation would.
The graph therefore begins and ends in the same direction.
Moreover, the scatter plot's points increase first until they reach a maximum value, then they start to decline.
As a result, A quadratic equation can be seen visually in the scatter plot.
Learn more about quadratic equation here: brainly.com/question/17177510
#SPJ7
jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate. find Jesse’s total payment amount for his loan.
Answer:
$5,040
Step-by-step explanation:
choose the function that represents the data in the table.
x 0 1 2 3 4 5
f(x) -3 -1 1 3 5 7
A. f(x)= 2/x-3
B. f(x)= 2x-3
C. f(x)= x^2-3
D. f(x)= 2x^2-3
Answer:
B. f(x) = 2x-3
Step-by-step explanation:
The first point in the table tells you there will be an added constant of -3. All answer choices agree on this.
The x-values are evenly spaced, so we can examine the f(x) values to see what sort of function it is. It usually works well to consider the differences of adjacent values. Here, we see they are ...
-1 -(-3) = 2
1 -(-1) = 2
3 -1 = 2
5 -3 = 2
7 -5 = 2
All of the differences are the same value, 2, so this is a linear function. There is only one answer choice that is a linear function:
f(x) = 2x -3
Final answer:
The correct function that represents the data in the table is B. f(x)= 2x-3. This linear function consistently provides the correct f(x) values for each x when compared to the data given.
Explanation:
In order to choose the function that represents the data given in the table, we will analyze each option provided against the data.
For x=0, the value of f(x) should be -3.
For each increase of 1 in x, the value of f(x) increases by 2.
Now let's evaluate the given options:
Option A: f(x)= 2/x-3 does not satisfy the values for any x in the table.
Option B: f(x)= 2x-3 consistently satisfies the value of f(x) for each x in the table. For example, if x=2, f(x) = 2*2 - 3 = 1, which matches the table data.
Option C: f(x)= x^2-3 gives incorrect values for all x other than 0 and 1.
Option D: f(x)= 2x^2-3 also provides incorrect values since it increases much more rapidly than the data in the table.
Therefore, the correct answer is Option B, f(x)= 2x-3.
What is the slope of the line through (-1,4) and (1,-2)
Answer:
-3
Step-by-step explanation:
Slope = change of x over change of y
6 over 2
3
line goes down so slope is negative
-3
The slope of the line passing through the given points (-1, 4) and (1, -2) is -3.
Given the following points:
Points on the x-axis = (-1, 1)Points on the y-axis = (4, -2)To find the slope of the line passing through the given points (-1, 4) and (1, -2):
The slope of a line is simply the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{-2 \;- \;4}{1\; - \;[-1]}\\\\Slope. \;m = \frac{-6}{2}[/tex]
Slope, m = -3
Read more: https://brainly.com/question/14096662