Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain
Answers
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
[tex]h = 2r[/tex]
Cone B
R = 2r
[tex]h=r[/tex]
The volume of a cone is
[tex]V = \frac{1}{3}\pi r^2h[/tex]
For cone A, we have:
[tex]V = \frac{1}{3}\pi r^2*2r[/tex]
[tex]V_A = \frac{2}{3}\pi r^3[/tex]
For cone B, we have:
[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]
[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]
[tex]V_B = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]
Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]
[tex]V_B = 2 * V_A[/tex]
Make VA the subject
[tex]V_A = \frac{1}{2}V_B[/tex]
Hence, I agree with Ahmad
Related Questions
If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?
Answers
HELP PLEASEEEEE!!!!!!!
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solve it : -
[tex] \sqrt{27 \times3 } [/tex]
_______
Answers
Answer:
9
Step-by-step explanation:
sqrt(27*3)
sqrt(81)
sqrt(9*9)
9
Answer:
9
Step-by-step explanation:
27 * 3 = 81
√81 = 9
Where are the asymptotes of f(x) = tan (4x-pi) from x=0 to x= pi/2
A. X= pi/4, x=3pi/4
B. 0, x=pi/4
C. X=pi/2, x=3pi/2
D. X= 3pi/8, x=5pi/8
Answers
Step-by-step explanation:
the asymptotes of f(x) :
(4x-π) = π/2
4x = 3π/2 => x = 3π/8
(4x-π) = 3π/2
4x=5π/2 => x = 5π/8
the answer is
D. X= 3pi/8, x=5pi/8
what is the opposite of 24? what is the reciprocal of 24? use a pencil and paper. Describe any similarities and differences between the opposite of a nonzero number and the reciprocal of that number.
the opposite of 24 is □
the reciprocal of 24 is □
Answers
Answer:
-24, [tex]\frac{1}{24}[/tex]
Step-by-step explanation:
An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.
For 24, this is -24.
A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number. The reciprocal for n is written as [tex]\frac{1}{n}[/tex] or [tex]n^{-1}[/tex].
For 24, this is [tex]\frac{1}{24}[/tex].
**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!
Which of the following is an arithmetic sequence?
O A. 1,3,9,27,..
O B. 1,0,1,0,1,0,...
O C. 800, 200, 50,...
O D. 10.7.4 1.-2...
Answers
Answer:
a
Step-by-step explanation:
Answer:
The answer would be D.
Step-by-step explanation: Hope this helps and gl :)
A baseball is hit with an initial upward philosophy of 70 ft./s from a height of 4 feet above the ground. The equation h= -16x^2+70t+4 models the height in feet , t, seconds after it is hit. After the ball gets to its maximum height it comes down in his caught by another player at a height of 6 feet above the ground. About how long after it was hit does it get caught
Answers
Answer:
x=4.34 seconds
Step-by-step explanation:
-16x^2+70x-2=0
[tex]x=\frac{35+\sqrt{1193}}{16}[/tex]
x=4.34
You can solve a system of equations by translating it into a matrix,manipulating the matrix until it has eliminated terms,and then translating it back to equations
Answers
Answer:
True
Step-by-step explanation:
A system of equations can be solved by Translating the system of equations into a matrix by following theses steps
list all coefficients in a single matrix multiply the coefficient matrix with the variables matrixenter answers into a new matrixwrite out the resulting answer in form of equations.
The seven numbers 1, 2, 5, 10, 25, 50, 100 repeat to form the following pattern.
1, 2, 5, 10, 25, 50, 100, 1, 2, 5, 10, 25, 50, 100
What is the 75th number in the pattern? How did you get the answer?
Answers
Answer:
25
Step-by-step explanation:
First number = 1
Second number = 2
Third number = 5
Fourth number = 10
Fifth number = 25
Sixth number = 50
Seventh number = 100
Again 14th number will be = 100
Again 21st number will be = 100
Continuing 70 th number will be = 100
71st number= 1
72nd number = 2
73rd number = 5
74th number = 10
75th number = 25
OR
[tex]\frac{75}{7} = 10 \times 7 + 5\\[/tex]
So, after repeating 10 times up to 100, then the 5 number will be the 75th number , which is 25
If sally completed 6 laps around a circular track with the dimensions shown below, how many meters will she have run? Use 3.14 for up and round your answer to the nearest tenth
Answers
Answer/Step-by-step explanation:
The diagram of the circular track is missing, and so also its dimensions.
However, let's assume the dimensions of the circular track given is diameter (d) = 20 meters or radius (r) = 10 meters.
Since it's a circular track, the circumference of the track would give us the number of meters she runs in 1 lap.
Circumference = πd
d = 20 m (we are assuming the diameter is 20 meters)
π = 3.14
Circumference of circular track = 3.14 × 20 = 62.8 m.
This means that 1 lap = 62.8 m that she would have to run.
Therefore,
6 laps would be = 6 × 62.8 = 376.8 m
Therefore, if she completes 6 laps around the circular track that has a diameter of 20 m, she will have to run about 376.8 m.
a.) If m 1 = 3x - 7, find x.
Answers
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
In Which Quadrant is this true
Answers
Given:
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
To find:
The quadrant in which [tex]\theta[/tex] lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.
In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.
In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.
We have,
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.
Therefore, the correct option is D.
help please asap just the answers
Answers
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3
What is the length of segment BC?
Answers
Answer:
3
Step-by-step explanation:
A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3
[tex]9 \div 3 = 3[/tex]
The length of the segment BC or preimage of BC was 3 units.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.
From the graph diagram the length of segment B'C' is 9 units.
Therefore, Before the dilation, the length of the segment BC would be
(1/3)×9.
= 3 units.
learn more about transformations here :
https://brainly.com/question/11709244
#SPJ2
Find the volume of the irregular
figure
1 cm
3 cm
?] cm3
3 cm
1 cm
10 cm
5 cm
Answers
Answer:
Step-by-step explanation:
volume of reqd. figure=10×5×1+3×3×1=50+9=59 cm³
Math tough, who agrees to this statement
Answers
Answer:
$1160
Step-by-step explanation:
And yes I agree to this statement
can someone help me with this maths question? workings would be appreciated :]
Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.
Work out the total amount of sweets.
Answers
Answer:
total amount of sweets=230
Step-by-step explanation:
ratio=8:5:10
total ratio=8+5+10
=23
Adrian=x
Charlie= x+20
Ben=1/2×(x+20)
Charlie's share
10/23×(x+20+x+(1/2×x+20))=x+20
10/23×(x+20+x+(x+20/2))=x+20
10/23×(x+20+x+x+20/2)=x+20
10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20
10/23×(2x+40+2x+x+20)/2=x+20
10/23×(2x+2x+x+40+20)/2=x+20
10/23×(5x+60)/2=x+20
50x+600/46=x+20
50x+600=46(x+20)
50x+600=46x+920
50x-46x=920-600
4x=320
4x/4=320/4
x=80
Total amount of sweet
x+x+20+1/2(x+20)
80+80+20+1/2(80+20)
180+1/2(100)
180+50
230
Find the value of x that makes A || B.
A
N
B
5
5
22 = 3x – 10 and 23 = x + 30
x= [?]
I
Enter
Answers
Answer:
9
Step-by-step explanation:
10 points!!!!!! 16-20 please answer correctly and hurry please
Answers
Answer:
[tex] \large{ 16.}[/tex]
Two adjacent angles form a linear pair if the sum of those angles is 180°.[tex] \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}[/tex]
[tex] \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}[/tex]
–––––––––––––
[tex] \large{17}.[/tex]
When two lines intersect , the Ames formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.[tex] \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}[/tex]
–––––––––––––
[tex] \large{18.}[/tex]
[tex] \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}[/tex]
[tex] \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}[/tex]
[tex] \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}[/tex]
Note that m ∠ KHL = 46° [ being vertically opposite angle ]–––––––––––––––
[tex] \large{ {19.}}[/tex]
Firstly , find out m ∠ JHP :[tex] \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}[/tex]
[tex] \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}[/tex]
[tex] \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}[/tex]
Now , find out m ∠ JHN :[tex] \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}[/tex]
[tex] \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}[/tex]
––––––––––––––––
[tex] \large{ 20.}[/tex]
[tex] \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}[/tex]
[tex] \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}[/tex]
[tex] \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}[/tex]
And we're done! Yeyy :) . Also , Let me know if you have any questions regarding my answer !––––––––––––––––
[tex] \large{ \tt{ \# \: StayInAndExplore \: !}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Her result was x =-4.
A- What is the correct value of x? B- What was Samira’s error? Explain.
Answers
Write the expanded form of the expression.
y(0.5+6)
y(0.5+ 6) =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answers
find the value x in the figure :
Answers
Answer:
[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]
x = 3
step-by-step explanation:
Perimeter of rectangle = 2 ( l + b )
Where, we have
breadth is ( x + 6 ) cmlength is ( x + 2 ) cmPerimeter is 26 cm.substitute the values
28 cm = 2 ( ( x + 2) + ( x + 6 ))
28 cm = 2 ( x + 2 + x + 6 )combine like terms
28 cm = 2 ( 2 x + 8 )distributing 2 through parantheses
28 cm = 2 × 2x + 2 × 828 cm = 4x + 16subtract 16 from both side
28 cm - 16 = 4x + 16 - 1612 cm = 4xdivide both side by 4
12 cm / 4 = 4 x / 43 cm = xWhat is the remainder for the synthetic division problem?
Answers
Answer:
C. 54
Step-by-step explanation:
1. Drop down the 1
2. Multiply 1 by 3, put that answer, 3, underneath the 5
3. Add 3+5, then put that answer, 8, below.
4. Multiply 8 by 3, put the answer, 24, under the -8
5. Add 24 and -8 to get 16, drop 16 underneath
6. Multiply 16 by 3, put the answer, 48, under the 6
7. Add 48 and 6 to get 54. Drop 54 below.
Now there are no more coefficients to add the 54 to, so 54 is the remainder!
I hope this helped, the explanation without writing it down is kind of confusing. :))
The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9
Answers
Answer:
B. 6
Step-by-step explanation:
3³ x 3³ = 3⁶
The answer is 6
Answer:
B) 6
Step-by-step explanation:
The reason for this is really awesome and is clearly seen when you expand it.
x^3= x times x times x
x^3= x times x times x
x^3 times x^3= x times x times x times x times x times x= x^6
A circle has a radius of 2 feet. What is the length of the arc subtended by a 15 degree central angle?
Answers
Answer:
Step-by-step explanation:
length = Pi.radius.15degree/180degree
= Pi.2.15/180 = about 0,5 feet
The length of the arc that is subtended by 15° is: 0.5 ft.
What is the Arc Length in a Circle?Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.
Given the following:
r = 2 ft∅ = 15°Arc length = 15/360 × 2π(2)
Arc length = 0.5 ft.
Thus, the length of the arc that is subtended by 15° is: 0.5 ft.
Learn more about the arc length on:
https://brainly.com/question/17329757
The scores from Dr. Wilhelm's students science fair project are shown below .
Dr wilhelm made a histogram for the data.
answer choices :
50
65
70
71
plsss help I appreciate it thank you so much
Answers
Answer:
See Explanation
Step-by-step explanation:
You posted an incomplete question with little and unclear details.
I will answer this question with a more complete version (see attachment)
Given that:
[tex]Scores: 100\ 95\ 88\ 62\ 76\ 90\ 100\ 58\ 72\ 60\ 85\ 90\ 70\ 72\ 54\ 100\ 60\ 80\ 75\ 51[/tex]
Required
The fraction that passed the test
Rearrange the score in ascending order:
[tex]Scores: 51\ 54\ 58\ 60\ 60\ 62\ 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
The total number of students is:
[tex]n =20[/tex]
Extract the students that passed (scored 70 and above)
[tex]Passed: 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
Their numbers are:
[tex]Passed: 14[/tex]
So, the fraction of those that passed is:
[tex]Fraction = \frac{Passed}{n}[/tex]
[tex]Fraction = \frac{14}{20}[/tex]
Reduce fraction
[tex]Fraction = \frac{7}{10}[/tex]
Show your work on how you got the answer
please helppp
Answers
Answer:
250
Step-by-step explanation:
4/16 = 1/4 = .25
When dividing exponents, subtract the bottom from the top, so [tex]10^{5}[/tex]÷[tex]10^{2}[/tex] = [tex]10^{3}[/tex]
So, .25 * [tex]10^{3}[/tex] = 250
A train travels a total of 38 km at a constant speed of 90 km/h. How long is its journey? Give your answer in minutes and seconds, to the nearest second.
I WILL GIVE BRAINLIEST TO BEST ANSWER
Answers
Answer:
3420 minutes 205,200 second.
. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail
Answers
Answer:
0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Use x for the equation: (x - 1/2)*1/2 = 1/8
Just go backwards
1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
I need somebody to help this due in 25 minutes
Answers
Answer:
line n
Step-by-step explanation:
Line n goes through points A and G on the diagram.