If the ratio between the radii of two spheres is 3:7, what is the ratio of
their volumes?

A. 27:343
B. 9:49
C. 9:7
D. 21:49

If The Ratio Between The Radii Of Two Spheres Is 3:7, What Is The Ratio Oftheir Volumes?A. 27:343B. 9:49C.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Ratio of volume is ratio of the radius raised to the power 3.

Answer 2

The ratio of the volume of the spheres is 27 : 343

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

The ratio of the radii of two spheres is 3:7.

Therefore, if the smaller sphere has a radius of 3x, then the larger sphere has a radius of 7x.

The ratio of the volumes of the two spheres is given by:

(Volume of smaller sphere) : (Volume of larger sphere) = (4/3)π(3x)³ : (4/3)π(7x)³

Simplifying the above expression, we get:

(Volume of smaller sphere) : (Volume of larger sphere) = 27 : 343

Hence , the ratio of the volumes of the two spheres is 27 : 343

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Related Questions

1.

Name the postulate or theorem you can use to prove the triangles congruent.

Answers

Answer:

phthagoras

Step-by-step explanation:

Does this graph show a function? Explain how you know.

Answers

Answer is (a.)
No it is not a function fails the vertical line test .

A function is only a function if it passes the vertical line test, meaning every x-value has only one y-value. In the case of this graph, it does not pass the vertical line tests and has multiple y-values for each x-value.

Correct Answer: A. No; the graph fails the vertical line test.

B is incorrect because y-values can have more than 1 x-value, such as a function like y = 2. The opposite is the correct statement; x-values can have no more than 1 y-value. For example, x = 2 would not pass the vertical line test.

Hope this helps!

Find the value of n. A. 10 B. 6 C. 50 D. 25

Answers

I’m thinking the answer would be D

Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
h

Answers

The median GPA of the  percussionists is 2.8

This question appears incomplete.

Here is the complete question :

Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:

All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.

There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.

Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.

For percussionists, the median GPA is _____.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median is a measure of central tendency

Other measures of central tendency include  mean and mode.

The GPA of the 3 percussionists are 2.4, 2.8 and 3.2

This data has already been arranged in ascending order.

The number that is in the middle is 2.8

Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4

The number that is in the middle is 2.8

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Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M

Answers

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

Solve the triangle. Round your answers to the nearest tenth.

Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24

Answers

Answer:

Option B

You use sine rule to find the missing angles

Answered by GAUTHMATH

For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took,

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

We have been given angle A = 105 degrees and side a = 37, side c = 18.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]

By angle sum property;

A + B + C = 180

105 + 28 + B = 180

B = 180 - 133

B = 47

Therefore,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]

Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

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Need helppppp asappppppp

Answers

Answer:

162

Step-by-step explanation:

because this is a parallelogram :

m<2 = m<4 so

4x - 22 = 3x - 12

4x - 3x = 22 - 12

x = 10 replace x with 10 in the equation for m<4

3x - 12 is 30 - 12 = 18

m<4 and m<1 are supplementary and their sum is equal to 180

m<4 + m<1 = 180

m<1 = 180 - 18

m<1 = 162

Hey plese helppppp . Question: Evaluate: b²- 4ac. if a=5, b=-2,c=-3 ​

Answers

Answer:

64

Step-by-step explanation:

b²- 4ac

Let a=5, b=-2,c=-3

(-2)^2 - 4(5) (-3)

4 +60

64

Answer:

64

Step-by-step explanation:

(-2)^2 - 4(5)(-3)

4 - - 60

64

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

S=pi*R^2=(area of the sector)*(360/angle of AOB)

so 22/7*9^2=99*360/angle of AOB

-> AOB=140

perimeter of circle: 2*pi*R

permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40

please answer this!!​

Answers

Answer:

b

Step-by-step explanation:

tan equal to (opposite side) /(adjacent side)

am not able to write root 3 on phone but its something like this

(a¤3)/a

in which¤3 is root 3

Given the distance between (x,1) and (-2,5) is 2 root 7, find the the value of x. Leave your answer in simplified exact form

Answers

Answer:

Step-by-step explanation:

Distance = the square root of (x2-x1)2 + (y2-y1)2Added:Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared

The value of x is (√12) - 2, when the distance between (x,1) and (-2,5) is 2√7 units.

What is the length of any line on the graph?

The distance or length of any line on the graph,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

Given that the distance between (x,1) and (-2,5) is 2√7 units. Therefore we can write,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]2\sqrt7= \sqrt{(x + 2)^2 + (1-5)^2}[/tex]

Squaring both the sides of the equation,

[tex](2\sqrt7)^2= (\sqrt{(x + 2)^2 + (1-5)^2})^2[/tex]

4 × 7= (x + 2)² + (-4)²

28 = (x+2)² + 16

28 - 16 = (x+2)²

12 = (x+2)²

x+2 = √12

x = (√12) - 2

Hence, the value of x is (√12) - 2.

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Answer all


1) 4x*3x


2) 2/3+ 1/4

Answers

1)12x^2
2) 8+3/12
11/12

[tex]\large\textsf{Hey there!}[/tex]

[tex]\large\textsf{\# 1.}[/tex]

[tex]\large\textsf{4x} \times\large\textsf{3x}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{4x}\times\large\textsf{3x = \bf 12x}\mathsf{\bf ^2}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf 12x}\bf ^2}}\huge\checkmark[/tex]

[tex]\large\text{\# 2.}[/tex]

[tex]\mathsf{\dfrac{2}{3}+\dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{2\times4+1\times3}{3\times4}}[/tex]

[tex]\mathsf{2 \times 4 = \bf 8}[/tex]

[tex]\mathsf{1 \times 3 = \bf 3}[/tex]

[tex]\mathsf{3\times 4 = \bf 12}[/tex]

[tex]\mathsf{= \dfrac{8 + 3}{12}}[/tex]

[tex]\mathsf{8 + 3 = \bf 11}[/tex]

[tex]\mathsf{= \dfrac{11}{12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{11}{12}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

(x^2+2x+1)+(-x^2+x+3)

Answers

Answer:

3x+4

Step-by-step explanation:

You have to combine like terms to get 3x+4.

Using two independent samples, two population means are compared to determine if a difference exists. The population standard deviations are equal. The number in the first sample is fifteen and the number in the second sample is 12. How many degrees of freedom are associated with the critical value

Answers

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are  

compared to determine if a difference exists, the population standard deviation is equal.  

sample size 1 = [tex]n_{1}[/tex]= 15 and sample size 2 = [tex]n_{2}[/tex] = 12  

since, population standard deviations are equal, required degrees of freedom              

[tex]= n_{1} + n_{2} - 2 \\= 15 + 12 - 2\\ = 25[/tex]  

i have a few questions! what is the gcf for
(21 and 54)
(55 and 90)
(16 and 30)
(42 and 91)
(66 and 121)

Answers

Answer:

(21 and 54): 3

(55 and 90): 5

(16 and 30): 2

(42 and 91): 7

(66 and 121): 11

Step-by-step explanation:

rs 20736 was distributed to as many rupees as there were. how many students were there​

Answers

This question is solved by proportions

Doing this, we found that there were 144 students.

20736 was distributed. The number of rupees for each student is the number of students.

Considering n students, the amount each student receives is:

[tex]A = \frac{20736}{n}[/tex]

Considering each student received n rupees:

[tex]n = \frac{20736}{n}[/tex]

Applying cross multiplication:

[tex]n^2 = 20736[/tex]

[tex]n = \sqrt{20736}[/tex]

[tex]n = 144[/tex]

Thus, there were 144 students.

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Solve for x: 5 [(x/6)-2] = 2x + 4

Answers

Answer:

-12 =x

Step-by-step explanation:

5 [(x/6)-2] = 2x + 4

Distribute

5/6x - 10 = 2x+4

Subtract 5/6x from each side

5/6x -10 -5/6x = 2x -5/6x +4

-10 =2x -5/6x +4

Subtract 4 from each side

-10-4 = 2x - 5/6x

Get a common denominator for the right side

-14 = 12/6x - 5/6x

-14 = 7/6x

Multiply each side by 6/7

-14 * 6/7 = 7/6 x * 6/7

-12 =x

Answer:

x = -12

Step-by-step explanation

Simplify this expression.






I need u again pls

Answers

Answer:

The answer is the Second Option

Step-by-step explanation:

Answer:

the second one sqrt(10) + sqrt(15) -sqrt(14) - sqrt(21)

Step-by-step explanation:

[tex]-2x(x+3)-(x+1)(x-2)[/tex]

Answers

Answer:-3x2-5x+2

Step-by-step explanation:

Distribute -2x to x+3, and then x+1 to x-2

[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]

[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]

[tex]-3x^{2} -3x-2[/tex]

Sorry it’ll be -3x2 -5x +2

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Question 3: 220 centimeters

Question 4: 31.4 millimeters

Step-by-step explanation:

Question 3:

Formula for circumference: 2πr

2πr

Exchange π for 22/7

2 · (22/7) · r

Exchange r (radius) for 35

2 · (22/7) · 35

Simplify:

2 · (22/7) · 35

44/7 · 35

220; 220 centimeters

Question 4:

Formula for circumference: 2πr

2πr

Exchange π for 3.14

2 · 3.14 · r

Exchange r (radius) for 5

2 · 3.14 · 5

Simplify:

2 · 3.14 · 5

6.28 · 5

31.4; 31.4 millimeters

Answer:

220 cm31.4 mm

Step-by-step explanation:

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

Solve:

Question # 1

r = 35 cm

π = 22/7

Circumference = 2πr

Circumference = 2 (22/7) (35)

Circumference = 2 (110)

Circumference = 220 cm

Question # 2

r = 5 mm

π = 3.14

Circumference = 2πr

Circumference = 2 (3.14) (5)

Circumference = 10 (3.14)

Circumference = 31.4 mm

Hope this helps!! :)

Please let me know if you have any questions

I neeeddddd helppppp!!!! It’s urgentttttt

Answers

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

HELP PLEASE ! it keep saying its wrong ​

Answers

Answer:

x=24 y=33

Step-by-step explanation:

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.

Please help explanation if possible

Answers

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer

Answers

Answer:

9.9

Step-by-step explanation:

Let the side of ZX = x

4/8 = x/19.8

Cross-multiply

8x = 79.2

Divide both sides by the coefficient

8x/8 = 79.2/8

x = 9.9

If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers

Answers

Answer and explanation:

Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:

(n+3)²-(n)²= (n+3)(n+3)-(n)²

=n²+3n+3n+9-n²

=6n+9

Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.

instruction Find m<HFG​

Answers

Answer:

∠ HFG = 79°

Step-by-step explanation:

The inscribed angle HFG is half the measure of its intercepted arc, that is

∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°

Evaluate the following
expression using x = 6:
8(3x + 1)


Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

What is the degree of the
polynomial below?
x^3 + 2x - 3x^4 + 5 + 3x^2

Answers

Answer:

x

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

The highest exponent is 4 so the degree is 4.

Which of the following points lies on the graph of the equation y = 2x +5.

(2, 7)

(4, 9)

(0, 2)

(2, 9)

Answers

(2, 9)

Step by step explanation: in order to graph the equation you can simply substitute for x and solve for y, or plug in the equation into your graphing calculator.
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