What is the approximate volume of a cone with a radius of 1. 75 feet and a height of 2. 1 feet?.
Answers
The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.
To calculate the approximate volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h,
where r represents the radius of the cone's base and h represents the height of the cone.
Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:
Volume = (1/3) * π * (1.75)^2 * 2.1
To calculate the approximate volume, we'll use the value of π as approximately 3.14:
Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1
Now, we can perform the calculations:
Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1
≈ 1.047 * 3.0625 * 2.1
≈ 6.478875
Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.
Learn more about volume here
https://brainly.com/question/463363
#SPJ11
Related Questions
EFHNm FG=97m GH=117m EHG= 164GoAngle E:OAngle F:Angle G:Angle H:Blank 1:Blank 2:Blank 3:Blank 4:
Answers
Given a cyclic quadrilateral
As shown:
The measure of the arc FG = 97
The measure of the arc GH = 117
The measure of the arc EHG = 164
The measure of the arc is two times the measure of the inscribed angle opposite to the arc.
So, the measure of the angle E = 1/2 the measure of the arc FGH =
\(\frac{1}{2}(\text{arc FG + arc GH ) =}\frac{1}{2}(97+117)=\frac{1}{2}\cdot214=107\degree\)The measure of the angle F = 1/2 the measure of the arc EHG =
\(\frac{1}{2}\cdot164=82\degree\)For the cyclic quadrilateral, every two opposite angles are supplementary.
So,
\(\begin{gathered} m\angle E+m\angle G=180 \\ m\angle G=180-m\angle E=180-107=73\degree \end{gathered}\)And:
\(\begin{gathered} m\angle F+m\angle H=180 \\ m\angle H=180-m\angle F=180-82=98\degree \end{gathered}\)So, the answer will be:
\(\begin{gathered} \text{Blank}1\colon107\degree \\ \text{Blank}2\colon82\degree \\ \text{Blank}3\colon73\degree \\ \text{Blank}4\colon98\degree \end{gathered}\)Find DE
3x - 28
D
3x - 30
х
G
E
F
33
Answers
Answer:
EG= 18
Step-by-step explanation:
Please see the attached picture for the full solution.
GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answers
The profit percentage = 16.3%
A bag contains 80 more red marbles than black marbles. Ifthe ratio of red marbles 9 to 4, how many marbles are in the bag in total?
Answers
The ratio of red marbles to black marbles is 9:4, this implies:
\(\frac{x+80}{x}=\frac{9}{4}\)By cross-multiplying and solving for x, we have:
\(\begin{gathered} 9x=4(x+80) \\ 9x=4x+320 \\ 9x-4x=320 \\ 5x=320 \\ x=\frac{320}{5} \\ x=64 \end{gathered}\)Thus, the number of red marbles is 64+80=144 and the number of black marbles is 64.
Hence, the total number of marbles in the bag is:
\(144+64=208\text{ marbles}\)PLEASE ANSER ALL THE QUESTIONS ASAP!!!
Answers
The value of the fraction will be:
7 2/9 - 2 5/12 = 4 29/36
6 1/2 - 3 9/11 = 2 15/22
How to calculate the fraction?The fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
7 2/9 - 2 5/12
7 24 / 108 - 2 45 / 108
= 4 87/108
= 4 29/36
6 1/2 - 3 9/11
= 6 11/22 - 3 18/22
= 2 15/22
Learn more about fractions on;
brainly.com/question/78672
#SPJ1
There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed.
Answers
Answer:
2:1.
Step-by-step explanation:
The area of a red curved surface = 2πr^2.
The area of the yellow flat surface = πr^2.
This is the case for all the hemispheres.
Therefore the required ratio = 2πr^2 : πr^2
= 2:1.
Solve 0=2y-8x+10 for y
Answers
Answer: Y=4x-5
That should be write thats what i got
Solution: 0 = 2y - 8x + 10
=> - 2y = - 8x + 10
=> 2y = 8x - 10
=> y = 4x - 5
Select the table that represents the ratio of white pentagons to red pentagons.
Answers
Answer:
the answer is A
Step-by-step explanation:
Table B represents the ratio of white pentagons to red pentagons i.e., 3:4.
What is ratio?In mathematics, a ratio indicates how many times one number contains another.
The ratio of white pentagons to red pentagons = 3:4
(Since there are 3 white pentagons for every 4 red pentagon, the ratio of white pentagons to red pentagons is 3:4.)
The table that represent the ratio 3:4 is the right one.
It is B.
\(\frac{White}{Red} = \\\\ \frac{21}{28} =\frac{3*7}{4*7} = \frac{3}{4}\\ \\ \frac{33}{44} =\frac{3*11}{4*11} = \frac{3}{4}\\\\\frac{39}{52} =\frac{3*13}{4*13} = \frac{3}{4}\\ \\ \frac{57}{76} =\frac{3*19}{4*19} = \frac{3}{4}\)
Learn more about ratio here
https://brainly.com/question/13419413
#SPJ2
What is the range in the following data? 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4 Your Answer:
Answers
The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]
To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.
From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.
So, Minimum Value = 1.0
Maximum Value = 11.2
Range = Maximum Value - Minimum Value
= 11.2 - 1.0
= 10.2
Therefore, the range of the given data is 10.2.
Learn more about Range:
brainly.com/question/30339388
#SPJ11
1. Show your work to simplify the expression 0.5(8a +6b) a + 4b
Answers
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
Answer:
4a+3ab +4b
Step-by-step explanation:
0.5(8a+6b) a +4b
4a +3b*a +4b
4a+3ab +4b
If S={a,b,c} with P(a)=2P(b)=3P(c), find P(a). 9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a). 10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a). 11. If E and F are two disjoint events in S with P(E)= 0.2 and P(F)=0.4, find P(E∪F),P(E
c
), and P(E∩F). 12. Why is it not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7? 13. If E and F are two disjoint events in S with P(E)= 0.4 and P(F)=0.3, find P(E∪F),P(F
c
),P(E∩F), P((E∪F)
c
), and P((E∩F)
c
). 14. Why is it not possible for S={a,b,c} with P(a)= 0.3,P(b)=0.4, and P(c)=0.5 ?
Answers
Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.
9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a).
Since P(a), P(b), and P(c) are equal, we can let P(a) = P(b) = P(c) = x.
Then, we know that P(d) = P(e) = P(f) = 0.1.
The total probability of the sample space S is equal to 1. So, we can write the equation:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1
Substituting the given values, we get:
3x + 0.1 + 0.1 + 0.1 = 1
3x + 0.3 = 1
3x = 1 - 0.3
3x = 0.7
Dividing both sides by 3, we find:
x = 0.7/3
So, P(a) = 0.233.
10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a).
Let P(a) = P(b) = P(c) = x. And let P(d) = P(e) = P(f) = y.
We also know that P(d) = 2P(a).
Using the equation for the total probability:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1
We can substitute the given values:
3x + 3y = 1
We also know that P(d) = 2P(a):
y = 2x
Substituting this into the previous equation:
3x + 3(2x) = 1
3x + 6x = 1
9x = 1
Dividing both sides by 9, we find:
x = 1/9
So, P(a) = P(b) = P(c) = 1/9.
11. If E and F are two disjoint events in S with P(E)=0.2 and P(F)=0.4, find P(E∪F), P(Ec), and P(E∩F).
Since E and F are disjoint, their intersection, E∩F, is empty.
The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.2 + 0.4 = 0.6
The complement of E, Ec, is the event that consists of all outcomes in S that are not in E.
The complement of an event has a probability equal to 1 minus the probability of the event:
P(Ec) = 1 - P(E) = 1 - 0.2 = 0.8
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0
12. It is not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7 because the sum of their probabilities would exceed 1.
Since the total probability of the sample space S must be equal to 1, it is not possible for two events with probabilities that add up to more than 1 to be disjoint.
13. If E and F are two disjoint events in S with P(E)=0.4 and P(F)=0.3, find P(E∪F), P(Fc), P(E∩F), P((E∪F)c), and P((E∩F)c).
Since E and F are disjoint, their intersection, E∩F, is empty.
The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.4 + 0.3 = 0.7
The complement of F, Fc, is the event that consists of all outcomes in S that are not in F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P(Fc) = 1 - P(F)
= 1 - 0.3
= 0.7
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0
The complement of the union of two events, (E∪F)c, is the event that consists of all outcomes in S that are not in the union of E and F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∪F)c) = 1 - P(E∪F) = 1 - 0.7 = 0.3
The complement of the intersection of two events, (E∩F)c, is the event that consists of all outcomes in S that are not in the intersection of E and F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∩F)c) = 1 - P(E∩F) = 1 - 0 = 1
14. It is not possible for S={a,b,c} with P(a)=0.3, P(b)=0.4, and P(c)=0.5 because the sum of their probabilities exceeds 1.
Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
what's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units
Answers
If the odds against an event are 4:7, then the probability that the event will fail to occur is
Answers
The odds against an event is 4:7
Unfavourable elements for the event = 4
Favourable elements for the event = 7
Total = 4 + 7 = 11
Hence the probability that the event will fail = 4/11.
On Monday, Alex ran 1 1 2 miles. On Tuesday she ran 2 1 4 . How much further did she run on Tuesday?
Answers
Answer:
102
Step-by-step explanation:
You have to subtract 214 - 112 you get 102.
Use simplex algorithm to solve the following Linear Programming model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau.
max=2x1+3x2−x3
s.t.
3x1+x2+x3≤60
2x1+2x2+4x3≤20
4x1+4x2+2x3<=80
x1,x2,x3≥0
Answers
The optimal solution for the given linear programming model is:
max z = 38
when x1 = 5, x2 = 10, x3 = 0
What is the optimal solution obtained from the simplex algorithm?To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.
Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.
After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.
In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.
Learn more about optimal solution
brainly.com/question/30575901
#SPJ11
A student studied the following number of hours over four days: 3, 6, 3, 4. The population standard deviation for this data set is:
Group of answer choices
2.000
1.225
1.414
1.500
Answers
The population standard deviation for this data set is approximately 1.225.
So, the correct answer is B.
The question asks for the population standard deviation of a student's study hours over four days, which are 3, 6, 3, and 4 hours.
To calculate the population standard deviation, follow these steps:
1. Find the mean (average): (3 + 6 + 3 + 4) / 4 = 16 / 4 = 4
2. Calculate the squared differences from the mean:
(3-4)² = 1, (6-4)² = 4, (3-4)² = 1, (4-4)² = 0
3. Find the mean of the squared differences: (1 + 4 + 1 + 0) / 4 = 6 / 4 = 1.5 4.
Take the square root of the mean of the squared differences: √1.5 ≈ 1.225
Hence the answer of the question is B.
Learn more about Standard Deviation at
https://brainly.com/question/23907081
#SPJ11
Find the slope and the y intercept for the equation below 2x+y=7
Answers
Answer:
Slope: -2
Y intercept: (0,7)
Step-by-step explanation:
fill in the blank. In a 4x3x2x2 factorial experiment, you have ___ independent variables and potentially ___ main effect hypotheses.
4; 4
Answers
In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.
The 4 independent variables are represented by the four numbers in the experimental design
(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).
The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.
Factorial experiment:A factorial experiment includes multiple factors simultaneously, each consisting of two or more
levels. Many factors simultaneously influence what is studied in a factorial experiment, and
experimenters consider the main effects and interactions between factors.
To know more about Factorial experiment:
https://brainly.com/question/18402941
#SPJ11
If it wouldn’t bother someone would someone also mind giving me the steps to get the answer?
Answers
Answer:
SA = 10,800 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 40
w = 60
h = 30
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 60(40) + 30(40) + 30(60) )
SA = 2 ( 2400 + 1200 + 1800 )
SA = 2 ( 5400 )
SA = 10,800 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
( 60 POINTS FOR EVERYTHING )
Need some help on this INTEGERS Worksheet.
Not too difficult, but I don't have much time left.
( Use in this format v )
1.) ??
2.) ??
3.) ??
etc..
Answers
Answer:
11) -11
12) -12
13) 7
14) -60
15) -56
16) -378
17) -126
18) -4
19) -3
20) -12
Answer:
see below
Step-by-step explanation:
1. 75
2. -14
3. 91
4. 67
5. 24
6. 112
7. 91
8. 44
9. 15
10. -11
11. -11
12. -12
13. 7
14. -60
15. -56
16. -378
17. -126
18. -4
19. -3
20. -12
Which is least likely to be an application where statistics will be useful?O Deciding whether offering Rice Krispies improves restaurant salesO Predicting whether an airfare is likely to rise or fallO Designing the most desirable features for a ski passO Choosing the wording of a corporate policy prohibiting smoking
Answers
The option that is least likely to be an application where statistics will be useful is "Choosing the wording of a corporate policy prohibiting smoking".
This is because statistics are generally used to analyze numerical data and make predictions or decisions based on that data.
However, choosing the wording of a corporate policy does not involve numerical data and therefore would not require the use of statistics.
The other options, such as deciding whether offering Rice Krispies improves restaurant sales, predicting whether an airfare is likely to rise or fall, and designing the most desirable features for a ski pass, all involve the analysis of numerical data and therefore would benefit from the use of statistics.
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.
Know more about statistics here:
https://brainly.com/question/15525560
#SPJ11
Sam earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 12 hours?
Answers
Sam will earn $99 for 12 hours of babysitting.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Sam earns $33 for babysitting for 4 hours.
4 hours = $33
4 ×3 hours = $33×3
12 hours = $99
Hence, Sam will earn $99 for 12 hours of babysitting.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ1
Can anyone help me? With this Math problem ASAP
Answers
Answer:
amount is ≤ 500
Step-by-step explanation:
Maximum means less than or equal to
amount is ≤ 500
Will Give Brainliest, answer ASAP x=
y=
z=
Answers
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
Included picture
Question is not hard so please answer correctly
Answers
Add or subtract. Simplify where possible. 3/p + 7/q
Answers
The simplified expression is (3q + 7p) / pq.
Given is an expression we need to simplify it,
3/p + 7/q
To add or subtract fractions, we need a common denominator. In this case, the common denominator is the product of the two denominators, p and q. Therefore, we can rewrite the expression as follows:
(3/p) + (7/q) = (3q/pq) + (7p/pq)
Now that we have the same denominator for both fractions, we can combine the numerators:
(3q + 7p) / pq
Thus, the simplified expression is (3q + 7p) / pq.
Learn more about Expression click;
https://brainly.com/question/28170201
#SPJ4
The simplified expression of \(\dfrac{3}{p} +\dfrac{7}{q}\) is \(\dfrac{3q+ 7p}{pq}\)
To simplify the expression \(\dfrac{3}{p} +\dfrac{7}{q}\)
Find a common denominator for the fractions. The common denominator for p and q is p q.
Multiply the first fraction by \(\dfrac{q}{q}\)and the second fraction, by \(\dfrac{p}{p}\) we get:
\(\dfrac{3}{p} \times \dfrac {q}{q} + \dfrac{7}{q} \times \dfrac{p}{p}\)
Simplifying, we have:
\(\dfrac{3}{p} \dfrac{q}{q} +\dfrac {7}{q} \dfrac{p}{p}\)
Now, we can combine the fractions
\(\dfrac{3q+ 7p}{pq}\)
Therefore, the simplified expression is \(\dfrac{3q+ 7p}{pq}\)
Learn more about simplification here :
https://brainly.com/question/28261894
#SPJ4
Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
58°
6 mi
B
BC = [?]
Answers
The distance between points B and C is 10.3 miles.
How to find distance using trigonometric functions?Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometry is made up of trigonometric functions (also known as circular functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
If we have a triangle with a right angle,
Then, tan = Opposite/Adjacent side
To find the distance,
In the ABC right angle triangle,
5.7 miles on the adjacent side = AB
θ = 61°
We must locate the BC.
tan = Opposite/Adjacent side
tan61°= BC/5.7
BC = 5.7×tan61°
BC = 10.283 = 10.3 (to the nearest tenth).
The figure is attached below.
To learn more about distance refer to :
https://brainly.com/question/27904161
#SPJ1
3. a pair of 6-sided dice is thrown. someone tells you that both the dice are showing an even number. with this information, what is the probability of the total (when you sum up the dice) being equal to 8?
Answers
The probability of the total being equal to 8 is 1/9 or 11.11%.
To calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8. Since both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6). Therefore, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.
Learn more about probability here
https://brainly.com/question/12226830
#SPJ4
у= 5х – 3
3х – у = -1
Whats the value of y?
Answers
Answer:
(2,7) x=2 y=7
Step-by-step explanation:
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Answers
Answer:
Female: 93/328
Adult: 103/328
Baby: 61/328
Step-by-step explanation:
71 + 93 + 103 + 61 = 328
Male: 71/328
Female: 93/328
Adult: 103/328
Baby: 61/328