The radius of the oblique cone is; B: 3 units
What is the radius of the cone?
Formula for the volume of an oblique cone is;
V = ¹/₃πr²h
where;
V is volume
r is radius
h is height
We are told that diameter is equal to the height. Thus;
diameter = 2r = h
Thus;
V = ¹/₃πr²(2r)
18π = ¹/₃πr²(2r)
r = ∛(18π * 3/2π)
r = 3 units
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The radius of the cone is approximately 3 units.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is 1/3πr²h.
We have,
We know that the height of the cone is equal to the diameter of the base, which means h = 2r.
Substituting this into the formula for the volume, we get:
V = (1/3) x π x r² x (2r) = (2/3) x π x r³
We are given that the volume of the cone is 187 cubic units, so we can set up an equation:
(2/3) x π x r³ = 187
Multiplying both sides by 3/2π, we get:
r³ = (187 x 3)/(2π)
Taking the cube root of both sides, we get:
r = (187 x 3/(2π))^(1/3) ≈ 3.00
Therefore,
The radius of the cone is approximately 3 units.
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What is the slope of the line shown in the graph?
A 3/2
B 2/3
C -3/4
D - 2/3
Answer:
D. -2/3
Step-by-step explanation:
Since it is going down, it is negative
Think of this: Rise/Run
In this case, rise is when you are going up or down the graph
Run is when you are going to the right of the graph
Let's use 2 points (0,3) and (3,1)
Since you are going three points to the right we are going to put 3 in for run
You are going 2 places down, so we are going put -2 in for rise
This gives us -2/3
Another way to do this is (1-3)/(3-0) = -2/3
There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out each of the following?
Answer:
Red : 5/12
Blue : 1/3
Green: 1/6
Yellow : 1/12
Step-by-step explanation:
5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles
5 red marbles / 12 total marbles = 5/12
4 blue marbles / 12 total marbles = 4/12 = 1/3
2 green marbles / 12 total marbles = 2/12 = 1/6
1 yellow marbles / 12 total marbles = 1/12
Which expressions are equivalent to -6+3(2+(-4t))?
Choose all answers that apply:
(Choice A)
A
-12t
(Choice B)
B
12t-12
(Choice C)
C
None of the above
Answer:
I belive that choice A would be the best answer!
Step-by-step explanation:
which number is a rational number?
√15
2.6457513110
17.156
^3√85
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕
Answer:
C. 17.156
Step-by-step explanation:
Im sure the answer is C.) 17.156
Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number...
Hope I helped!!!
Good luck deary... <3
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕
Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum.
Answer:
P(sum 2)=1/6
P(sum 3)=1/3
P(sum 4)=1/3
P(sum 5)=1/6
Step-by-step explanation:
[tex]\left|\begin{array}{c|ccc}&1&2&3\\---&---&---&----\\1&2&3&4\\2&3&4&5\end{array}\right|[/tex]
On the table, there are a a total of 6 outcomes.
Number of sum that equals 2=1Number of sum that equals 3=2Number of sum that equals 4=2Number of sum that equals 5=1Therefore:
P(sum 2)=1/6
P(sum 3)=2/6=1/3
P(sum 4)=2/6=1/3
P(sum 5)=1/6
Could anyone solve this?
Answer:
26.
Step-by-step explanation:
Hope this helps!
What is the missing statement in the proof?
∠FEG ≅ ∠HJG
∠GFE ≅ ∠GHJ
∠EGF ≅ ∠JGH
∠GEF ≅ ∠JHG
Answer:
∠GFE ≅ ∠GHJ
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A proposed law before it is confirmed through the House, Senate and Presidential process is:
a committee
an amendment
a bill
a proposal
Answer:
A bill
Step-by-step explanation:
A bill becomes a law. Search up a bill becomes a law schoolhouse rock.
What is the area of the trapezoid?
Answer:
C) 100 m^2
Step-by-step explanation:
Area of a trapezoid= h*[(b1+b2)/2]
h=10
b1=8
b2=12
Therefore:
A=10*[(8+12)/2]
A=10*(20/2)
A=10*10
A=100
So the area of the trapezoid is 100 m^2
A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?
Answer:
The area of the sector is [tex]12.8\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians
[tex]\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2[/tex]
Answer: 12.8pie
Step-by-step explanation:
Please help me ASAP 16 points
flour: 60
milk: 2.5
i calculated i hope its the right Answer
-20a -8 + 12b is ? what is the answer?
Answer:
4(-5a + 3b - 2)
Step-by-step explanation:
Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b. But notice that 4 is a factor common to all three terms, and therefore it can be factored out:
Rearranging the terms, we get
-20a + 12b - 8 = 4(-5a + 3b - 2)
Answer:
The answer is -4(5a+2-3b)
Step-by-step explanation:
Find the GCF and then multiply
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24?
Answer:
28
Step-by-step explanation:
Pythagorean theorem (picture provided)
The answer is of option D.
Hope this will help u...:)
What is the next term of the geometric sequence?
375, 75, 15,
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The common ratio = 75/375 = 1/5
So the next term = 15* 1/5= 3
i really need help what would be the answer?
Answer:
x= −b^2a
Step-by-step explanation:
However, if this question is asking WHAT IS the axis of symmetry, then it would be 3
Answer:
x=[tex]-b^{2a}[/tex]
Step-by-step explanation:
Miguel has a toolbox that measures 18.5 inches by 12.5 inches by 4 inches. What is the volume of the toolbox
It would be 925 inches cubed.
Step-by-step explanation:To find the volume, know that to find the volume of any rectangular prism (which is what this is) is to do Length * Width * Height to get the volume.
By doing, 18.5 * 12.5 * 4, you'll get your answer.
18.5 * 12.5 * 4 ---> 925
Remember to make in the unit of inches (because that's the unit it was asked in) and to write cubed at the end (since you are finding the area of a 3d object).
ctice 1 Packet
*
Tam has $16.58 in her bank account. She spends $4.69 on school supplies and
deposits $5.00. What is her new balance?
A. $6.89
B. $16.89
C. $17.11
D. $26.27
so the right answer is of option B.
Hope this will help u...
y=|x−3|+|x+2|−|x−5|, if 3
Answer: 3
Step-by-step explanation:
Y=|x-3|+|x+2|-|x-5|
X is given as 3
Substitute for x=3
Y=|3-3|+|3-2|-|3-5|
Y=0+1-(-2)
Y=0+1+2
Y=3
Answer:
Step-by-step explanation:
y=|3-3|+|3+2|-|3-5|
=0+5-2
=3
In OY, shown below, the radius is 34 units, AB = 60 units, and the measure of arc AC is 71 degrees.
Find each measure.
Answer:
1. 71
2. 142
3. 30
4. 30
5. 16
6. 18
Please help me I’m just learning this
Answer:
64 cm^2
Step-by-step explanation:
Area of Shaded Region = Area of Parallelogram - Area of Rectangle
Area of Parallelogram = 10 * 7 = 70
Area of Rectangle = 2 * 3 = 6
70 - 6 = 64 cm^2
1. Compare subtracting 10/8 - 4/8 to subtracting 10-4. How are they alike? How
are they different?
The subtraction of 10/8 - 4/8 is similar to 10-4 only in the general subtraction process, but they differ in the types of numbers used (fractions vs. whole numbers) and the results generated (a fraction vs. a whole number).
Explanation:The process of subtracting 10/8 - 4/8 is similar to subtracting 10-4 because in both cases, you are subtracting one number from another (~subtraction process~). However, they are different in terms of the kind of numbers used for subtraction. In the first operation, we are subtracting fractions while in the second operation, we are subtracting whole numbers.
To elaborate, in 10/8 - 4/8, they have the same denominators (8), so it's straightforward to subtract the numerators (numbers on top of the fraction): 10 - 4 = 6. So, the result is 6/8, which simplifies to 3/4.
In 10 - 4, the operation is simpler because we are working with whole numbers. By subtracting 4 from 10, we get 6 as the result. So, the results of the operations bear another difference, one yields a fraction, the other yields a whole number.
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Simplify
Simplify Simplify
Step-by-step explanation:
Simplify: [(8)^2/3]^4
(a) 8^8/3
(b) 8^6/3
(c) 8^6/12
Solution:
[(8)^2/3]^4
use the rules of exponents to simplify the expression.
=> [(8)^2/3]^4
To raise a power to another power multiply the exponents.
=> (8)^2/3 × 4
Multiply 2/3 times 4.
=> (8)^8/3
Option (c) (8)^8/3 is your correct answer.
Another method:Given,
[(8)^2/3]^4
=> [(8^3)^2/3]^4
=> [(2)^3×2/3]^4
=> [(2)^2]^4
=> (2)^2×4
=> (2)^8
=> 2^8
=> 2×2×2×2×2×2×2×2
=> 256 Ans.
Hope this helps!!
which expression is equivalent to 3x/5
a: 15x/20
b: 12x/20
c: 12x/5
Answer: 12x/20
Step-by-step explanation:
Looking at 3x/5
The expression equivalent is 12x/20
The reason is this
12x/20
If you divide the 12x by 4
It will give you 3x
If you divide 20 by 4
It will give you 5
Therefore, you will still have 3x/5
Another way to look at it is this
3x/5= 0.6x
12x/20= 0.6x
Therefore, the final answer is b which is 12x/20
Cedric has 200 songs on his Apple Music account. Of these songs, 24 are Indie songs. What percent of Cedric's songs are Indie songs?
Answer:
12%
Step-by-step explanation:
First put it into a fraction 24/200
Half it to make it to 100%
12/100=100%
Final answer:
To find the percentage of Cedric's songs that are Indie songs, divide the number of Indie songs by the total number of songs and multiply by 100%. The percentage of Indie songs is 12%.
Explanation:
To find the percentage of Cedric's songs that are Indie songs, we need to divide the number of Indie songs by the total number of songs and then multiply by 100.
So, the percentage of Indie songs is calculated as:
Percentage of Indie songs = (Number of Indie songs / Total number of songs) * 100% = (24 / 200) * 100% = 12%.
solve the equation for x 2x+34=4(x+5)
Answer:
7
Step-by-step explanation:
2x+34=4(x+5)
2x+34=4x+20
-2x=-14
x=7
Answer:
x=7
Step-by-step explanation:
Pleaseee help!!!!!!!
Answer:
[tex]y = 3000 - 18x[/tex]
3000 goes into the green box.
Which of the following expressions is equivalent to the expression 2(7x+3)
A 9x+3
B. 14x +6
C. 9x-6
D. 14x-3
The formula 2(7x+3) can be translated into 14x +6 using the distributive property of multiplication over addition (Option B).
Explanation:The expression 2(7x+3) is equivalent to the expression 14x+6. Such mathematical expressions are related to the concepts of algebra, specifically, the distributive property of multiplication over addition. This property allows the distribution of 2 over the terms inside the parentheses, 7x and 3 in this case. When we multiply 2 by 7, we get a result of 14, and when we multiply it by 3, we get a result of 6. So, option B: 14x + 6 is the correct response to this question.
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log (x) + log (x + 5) = log (6 x + 12)
I need the answer asap
Answer: 12 i believe sorry if im wrong
Your help would be greatly appreciated