What is the exact volume of the cone?
40π cm³
803π cm³
1603π cm³
160π cm³
Outline of cone with dotted line rising from middle of base to the point. Line is labeled ten centimeters. A second dotted line extends horizontally from middle of base to its edge. Line is labeled four centimeters.
Answers
Answer:
it is c
Step-by-step explanation:
The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given with the following formula as,
[tex]V=\dfrac{\pi r^2 h}{3}[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The image of the cone, whose volume has to be find out, is attached below.
The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,
[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]
Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
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Related Questions
Please help!! Due soon
Answers
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Explanation:
Let
P = area of triangle ABC
Q = area of triangle ACD
The two areas mentioned above are in ratio 1.5:1 which basically means
P = 1.5*k
Q = 1*k
for some value k
Notice how P/Q = (1.5k)/(1k) = 1.5 which proves that P:Q = 1.5:1
We can find the value of k by determining the area of triangle ABC
P = area of triangle ABC
P = (base)*(height)/2
P = 36*10/2
P = 360/2
P = 180
If P = 180, then
P = 1.5*k
1.5*k = 180
k = 180/1.5
k = 120
Telling us that
Q = 1*k
Q = 1*120
Q = 120
Q = area of triangle ACD
area of triangle ACD = 120
note how P/Q = 180/120 = 1.5 so P:Q = 1.5:1
We'll use this area to find the base of triangle ACD which is AD
Area of Triangle ACD = (base)*(height)/2
120 = AD*10/2
120*2 = AD*10
240 = AD*10
240/10 = AD
24 = AD
AD = 24
"write an equation in slope-intercept form of the line satisfying the given conditions."
The line passes through (-3,2) and is parallel to the line whose equation is y = 4x + 1.
How do I do this problem? Show all work.
Answers
This is because y = 4x+1 is in the form y = mx+b (m = 4 is the slope)
Any line parallel to the given line is also going to have the same slope of m = 4
Plug in m = 4 and (x,y) = (-3,2) and then solve for b
y = mx+b
2 = 4(-3)+b
2 = -12+b
2+12 = -12+b+12
14 = b
b = 14
So m = 4 and b = 14 means that y = mx+b turns into y = 4x+14
----------------------------------------
Final Answer: y = 4x+14
Which relationship between x and y in the equation shows a proportional relationship y=12x y=12/x y=2x+6 y=x/2+3
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_____
y = 12/x is an inverse relationship
y = 2x+6
y = x/2 +3 are both linear relationships, but not proportional relationships.
Natalie worked during the summer for 12 weeks at an amusement park. She earned a salary and put 30% of her earnings into savings. At the end of the summer, her savings were a total of $486. How much was she paid every month (4 weeks)? Help please
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162/3=54
54x10=540
$540 every 4 weeks
Find the total surface area of the cube box below
Answers
a circular rug is 6 feet in diameter. binding for the edge costs $1.50 per yard. what will it cost to bind the rug? justify your answer
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d = diameter length
C = πd
How many yards in 6 feet?
1 yard = 3 feet
So, 2 yards = 6 feet
C = π(2 yards)
C = 2π yards
Each yard is $1.50.
So, what do you think we do next?
Can you finish?
The area of a trapezoid is 144 ft squared. If the height is 8 ft and one of the bases is 12 ft, what is the length of the other base?
A. 7.2 ft
B. 14.4 ft
C. 24 ft
D. 16 ft
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144 = (12+x)* 4
36 = 12 +x
x = 36-12
x =24
Answer is C
I need the answers to 5&6 explain how you found the answer and I'll give brainliest
Answers
Both of these problems can be solved through substitution using the variables that you know equal a number.
For example #5: 5(3)(3)-7(3)+4
45-21= 24, and 24+8=28
That is how you solve number 5 and can also solve 6 the same way using the same method.
What is the solution to the system of equations?
3x - 4y= 16
2x + 3y=5
A. (-4,1)
B. (4,-1)
C.(-4,-1)
D.(4,1)
Answers
Hope this helps!
Answer:
B: (4, –1)
Step-by-step explanation:
find the separate equations form the lins represented by 3x^2 + 10xy + 8y^2 + 14x + 22y + 15
Answers
3x^2 is factorable only as 3x and x.
15 can be 15 * 1 or 3 * 5.
As a first guess, I place 5 and 3 in that order.
The coefficients of y are unknown so far.
= (3x + Ay + 5)(x + By + 3)
= 3x^2 + 3Bxy + 9x + Axy + ABy^2 + 3Ay + 5x + 5By + 15
(3B + A)xy = 10xy
(3A + 5B)y = 22y
A + 3B = 10
3A + 5B = 22
-3A - 9B = -30
3A + 5B = 22
4B = 8
B = 2
A + 3B = 10
A + 6 = 10
A = 4
3x^2 + 10xy + 8y^2 + 14x + 22y + 15 = (3x + 4y + 5)(x + 2y + 3)
The product of (3x + 4y + 5)(x + 2y + 3) is indeed
3x^2 + 10xy + 8y^2 + 14x + 22y + 15
The lines are
3x + 4y + 5 = 0
x + 2y + 3 = 0
sorry.. I didn't know where else to send dis...(+_+)
S = √3*73.5 /4.5=7 (Khufu’s pyramid)
The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?
This goes with the other questions! if you need information i can get that for you!
Also, could you work it out!
Answers
3/6 should b you answer answer
Final answer:
The volume will be of 6.3 for the second model.
Explanation:
The student is asked to calculate the volume of the second model pyramid, Khafre's pyramid, which is 9/10 the volume of the first model, Khufu's pyramid. The student has already calculated that, for Khufu's pyramid, S = √3*73.5/4.5=7. To find the volume Kristina should make the second model, we simply multiply the volume of the first model by 9/10.
Although the question does not provide the exact volume of the first model, we will assume the value of S given is the volume of Khufu's pyramid model. Therefore, the volume of Khafre's pyramid model should be 7 * (9/10) = 6.3.
This result is based on the proportion given between the two pyramids' volumes and is a straightforward calculation of this proportion.
Help with 3 and show all work
Answers
< is less than
> is greater than
Without him paying the extra fee is <=50
x is pounds.
Now, you have x<=50.
Hope this helped☺☺
The answer should be x<=50, or x is less than or equal to 50.
Your previous answer was almost correct, but the inequality actually has a less than or equal to sign since Michael could still be at exactly 50 pounds without having to pay extra. The charge only applies when the weight is more than 50 pounds.
Hope this helps!
Joel is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?
Answers
[tex]y = 4x + 12[/tex]
Joel would have to go at least 10 times per month to make the 50 dollars per month the cheapest one.
Answer:
First choice is cheaper.
Step-by-step explanation:
Joel could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit.
Let the monthly visits be x
We can define this as :
[tex]12+4x> 50[/tex]
[tex]4x >50-12[/tex]
[tex]4x >38[/tex]
[tex]x> 9.5[/tex]
So, x can be greater than 9.5 means 10.
[tex]4(10)+12>50[/tex]
[tex]52 > 50[/tex]
Comparing both we can say that the first choice is cheaper.
Graph the function y=x+8 ?
Answers
Let me know if you need anything else!
~ Zoe
Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.
Answers
https://brainly.com/question/9153852
Gene has a gasoline budget of $275 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
Answers
The equation to represent how much money is left in Gene's gasoline budget after driving for x days is y = 275 - 7x, where x is the number of days Gene drives and y is the money left in the budget.
Explanation:The equation representing how much money is left in Gene's gasoline budget after driving for x days can be expressed as y = 275 - 7x. Here, 275 represents the monthly gasoline budget, 7 is the cost of gasoline each day, and x is the number of days. If we plot y against x, we can visualize how Gene's monthly gasoline budget decreases by $7 for each day he drives.
This equation is a simple example of a linear equation, which describes a straight line in a coordinate system. The variable x is the independent variable (number of days driven) and y is the dependent variable (money left in the budget). The slope of the line (-7) represents the rate at which the budget decreases each day.
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What is the value of x^2 + 4 for x = 5?
Answers
The sum of Emil’s and Rosa’s ages is 27 years. Nine years ago Emil was twice as old
as Rosa was then. How old is each person?
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e - 9 = 2 x ( r - 9 );
So, e = 27 - r;
Then, 27 -r - 9 = 2r - 18;
18 - r = 2r - 18;
18 + 18 = 2r + r;
36 = 3r
Finally, r = 12 years (Rosa);
e = 27 - 12;
e = 15 years (Emil);
What is the answer to 2/5 + 7/20 and 6/15 + 14/40
Answers
6/15+14/40=3/4
A probability experiment is conducted wich of these can not be considered a probability of an outcome: a) 0.222 b) 8.2% c) 0.0234 d) 122.96% e) 5/3 f) 0.45%
Answers
122.96% and 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. Correct option is d and e.
In probability, the probability of an outcome must be a value between 0 and 1, inclusive. Therefore, any value less than 0 or greater than 1 cannot be considered a probability of an outcome.
Let's check each option:
a) 0.222 - This is a valid probability since it is between 0 and 1.
b) 8.2% - This can be converted to a decimal as 0.082, which is a valid probability since it is between 0 and 1.
c) 0.0234 - This is a valid probability since it is between 0 and 1.
d) 122.96% - This can be converted to a decimal as 1.2296, which is not a valid probability since it is greater than 1.
e) 5/3 - This can be simplified to approximately 1.6667, which is not a valid probability since it is greater than 1.
f) 0.45% - This can be converted to a decimal as 0.0045, which is a valid probability since it is between 0 and 1.
Therefore, options (d) 122.96% and (e) 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. The other options are valid probabilities as they fall within the range of 0 to 1, inclusive.
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I need to know the area of the shape base 1 (27ft) base 2(34ft) Height (12ft)
Answers
.. A = (1/2)*(b₁ +b₂)h
Use it.
.. A = (1/2)*(27 ft +34 ft)*(12 ft)
.. = (1/2)*(61 ft)*(12 ft)
.. = (30.5 ft)*(12 ft)
.. = 366 ft²
Find the area of the trapezoid.
A) 38.75 in2
B) 77.5 in2
C) 155 in2
D) 198 in2
Answers
To solve this add the two lengths. . .
22 + 9 = 31
Multiply the height and the total. . .
31 x 5 = 155
Divide 155 and 2 . . .
155 divided by 2 = 77.5 <------
The correct answer to your question is option B.
Hope this helps you.
Have a great day!
Answer: The answer is b) 77.5
Step-by-step explanation:
hope i helped
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Answers
A recipe calls for 1/4 teaspoon of shortening for every 2/3 cup of milk. What is the unit rate of cups per teaspoon? Explain
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To find the rate for a whole teaspoon, multiply 2/3 by 4 to get 8/3, or 2 2/3.
So, the rate is 2 2/3 cups of shortening per teaspoon.
Hope this helps!
Alison is currently three times as old as Mike. 5 years ago, Alison was eight times as old as Mike. How old is Alison now?
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His train has been running for 2 1/2 Days straight at a constant speed of 4.8 mph. How far has he traveled?
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Someone please help
Answers
9-6 = 3
answer would be 4k^3
if the selling price is $18.00 and the markup is 33%.what is te dollar markdown?
Answers
If the markup is 33%, then the markdown is 67%
(18*67)/100 = x
1.206/100 = x
100x = 1.206
x = 1.206/100
x = 12,06$
if g(x) equals 4x + 5, which statement is true? Select the correct answer.
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Hey l need summ more info just email me and we can get this done
What is the solution to the system of equations?
2x – y = 7
y = 2x + 3
(2, 3)
(2, 7)
no solution
infinite number of solutions
Answers
The given system of equations has no solution.
EXPLANATION
We write the two equations in the slope-intercept form,
[tex]y = mx + c[/tex]
The first equation is
[tex]2x - y = 7[/tex]
We make y the subject to obtain,
[tex]y = 2x - 7 - - (1)[/tex]
The second equation is already in slope intercept form.
[tex]y = 2x + 3 - - (2)[/tex]
We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.