The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the larger sphere.

Answers

Answer 1

Answer:

45 in

Step-by-step explanation:

Given 2 similar figures with ratio of radii = a : b , then

ratio of volumes = a³ : b³

Here ratio of volumes = 8 : 27 , then

ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3

let r be the radius of the larger sphere then by proportion

[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )

2r = 90 ( divide both sides by 2 )

r = 45

The radius of the larger sphere is 45 in


Related Questions

6x - 4y = 38
x + y = 5

Answers

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

Below. What is m∠1?

m∠1 =

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Hence

m∠1 = 180° - (79 ° + 31°)

m∠1 = 70°

PLEASE PLEASE PLEASE HELP ME!!!!!!!!!
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′. Question options: A)
(x, y) → (x + 6, y – 1)
B)
(x, y) → (x – 5, y – 1)
C)
(x, y) → (x + 5, y – 1)
D)
(x, y) → (x – 6, y – 1)

Answers

Answer:

D

Step-by-step explanation:

To get from ΔXYZ (the figure on the right) to ΔX′Y′Z′ (the figure on the left), each point is translated left 6 units and down 1.

Movement left and right is related to the x-axis. So moving 6 units left (in a negative direction) is x - 6.

Movement up and down is related to the y-axis. So going down (in the negative direction) is y - 1.

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

a

Step-by-step explanation:

YOU CAN ANSWER BOTH IF YOU WOULD LIKE BUT I ONLY NEED THE FIRST ONE PLEASE

Answers

first one i got the answer 74

It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job

Please can someone answer and explain??

Answers

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.

Answers

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

Write the first five terms of the geometric sequence, given a1= -16 and r= -1/4​

Answers

Answer: -16, 4, -1, 1/4,?

Step-by-step explanation: the nth term of a GP is given by Un= ar^n-1

Where n= the term.

So substituting the values for each term will give you the answer above. I don't know if it's tiredness or what but my fifth term gives me the same value as my fourth term.

please help me I’ll give brainliest if correct

Answers

Answer:

I would say the first one

Step-by-step explanation:

The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.

Answer:

number 4

Step-by-step explanation:

count onn me

5.
Match each equation to one of the diagrams.
a.
12 - m=4
b.
12=4.m
С.
m - 4= 12
d.
EN
m
= 12
4
A
B
С
m
12
m
12
12
4
4
12 12 12 12
mmmm

Answers

a matches to B.

b matches to D.

c matches to A.

d matches to C.

The matching is as follow:

(a)------> (B)

(b)-------> (D)

(c)-------> (A)

(d)-------> (C)

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the Block Diagrams in which the upper value is on the right side of Equation.

Now, first block diagram shows

m = 12+ 4 which is shown by (c)

Now, second block diagram shows

12 =  4 + m which is shown by (a)

Now, third block diagram shows

m= 4 x 12 which is shown by (d)

Now, fourth block diagram shows

12 = 4m which is shown by (b)

Learn more about Equation here:

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Is a trapezoid always a quadrilateral?
yes
no

Answers

Answer:

The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.

Step-by-step explanation:

hope it helped ( ◜‿◝ )♡

Point D is located at (-13, -1). Point Q is located at (0, 12). Determine the slope-intercept equation of line DQ.

Answers

Use the slope formula to determine the slope of the two points. Since (0,12) is the y-intercept it is already given.

Y = x +12

Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

PLS HURRY I ONLY HAVE LIKE 5 MINUTES TO ANSWER THIS

Answers

Answer:

Where is the question???? Lol

Explanation:

Answer:answer what

Step-by-step explanation:

Are the following triangles similar? Explain.

Answers

Answer:

yes

the sides bear a similar proportion to each other

CE = 1.67BC

CD = 1.67AC

Step-by-step explanation:

Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other

to determine if the triangles are similar, determine if the sides are in proportion to each other

CE = 10

BC = 6

10 / 6 = 1.67

DC = 15

AC = 9

15/9 = 1.67

The sides of the triangle are in proportion to each other, thus they are similar

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

26.39

Step-by-step explanation:

It's a right triangle, so because of how trigonometric functions work:

[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]

There's really no better way than to input it into a calculator.

So the only thing left is to round to the nearest hundredth.

Answer:

I want to say it is 30 digresses

Step-by-step explanation:

I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess

math question please help

Answers

Answer:

12 days, 72 tickets

Step-by-step explanation:

the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.

plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.

BC is tanget to the circle centered at A with a radius of 3. What is the length of CD?

Answers

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

we know that

If CD is tangent to circle A at point D

then

the segment CD is perpendicular to the radius AD

and

ACD is a right triangle

so

Applying the Pythagorean Theorem

we have

substitute

solve for r

need cos A and tan A asap please

Answers

Answer:

[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]

Step-by-step explanation:

In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)

The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)

The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)

In this case, angle A's opposite side is 12, its adjacent side is 35, and the hypotenuse is 37 (o=12, a=35, h=37).

Thus we have:

[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]

Answer:

Step-by-step explanation:

sin A=opposite/hypotenuse=12/37

cos A=adjacent/hypotenuse=35/37

tan A=opposite/adjacent=12/35

Identify the following as a radius or diameter and its length. segment EB

Answers

Given:

The diagram of a circle.

To find:

The radius or diameter and its length, segment EB.

Solution:

If a line segment connects the center of a circle and a point on the circumference of the circle, then the line segment is known as radius.

In the given figure A is the center of the circle and points B, C, E, D are on the circumference of the circle.

So, AB, AC, AE, AD are radii of the given circle.

[tex]AB=AC=AE=AD=4\text{ cm}[/tex]

If a line segment connects two points on the  circumference and passes through the center of the circle, then the line segment is known as diameter of the circle.

In the given figure B and E are two points on the circumference of the circle and the segment BE  passes through the center A. So, BE is the diameter of the circle.

Length of the diameter is:

[tex]EB=AE+AB[/tex]

[tex]BE=4+4[/tex]

[tex]BE=8[/tex]

Therefore, the segment EB is a diameter and length of the segment EB is 8 cm.

800 ÷ 30
SHEEEEEEEEEEEEEEEESH

Answers

Answer:

800 ÷ 30 = 26.66666666666667 or 26.

Step-by-step explanation:

Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians. H(t)=12sin(2pi/24t) + 15 What is the second time after Harry wakes up that he feels like consuming 17kg of sheep?

Answers

The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

How to determine the time?

The function is given as:

H(t) = 12sin(2π/24t) + 15

When the weight is 17kg.

It means that:

H(t) = 17

So, we have:

H(t) = 12sin(2π/24t) + 15 and H(t) = 17

Next, we solve for t using a graphing calculator

From the graph of h(t), we have:

t = 0.64, 11.36, 24.64...... when h(t) = 17

The second time in the above list is

t = 11.36

Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

Read more about sine function at:

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What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
tenth of a cubic meter?

Answers

The volume of a sphere with a diameter of 9.3 is 521.

what is Volume of sphere?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Volume of sphere is = 4/3*π*r³

d=9.3, radius= 9.3/2

Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65

                               = 421.16 m³

                                = 521

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what is the sum of the interior angle in a kite

Answers

Answer:

the sum of the interior angles = 360°

A kite has 4 sides.

This is the formula for the sum of the interior angles of any polygon:

N = number of sides

the sum of the interior angles = (N x 180°) - 360°

so, N = 4, then:

(4 x 180°) - 360° = 360°

given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)

Answers

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.


If 2g - 4 = 6, then g =

Answers

Answer:

Then g = 5.

Step-by-step explanation:

The only number that fits in g is 5.

2*5 - 4 = 6

So 2 x 5 = 10.

Which the equation is now 10 - 4 = 6.

So the answer is 5.

Answer:

g = 5

Step-by-step explanation:

2g - 4 = 6

2g - 4 + 4 = 6 + 4

2g = 10

2g ÷ 2 = 10 ÷ 2

g = 5

Find the value of x. Round to the
nearest tenth.
X
12
x = [?]

Answers

Answer:

63.4

Step-by-step explanation:

Tan = opposite/adjacent

Tan x = tan-1

Tan-1 (6/12)

=63.43494882

63.4

An object moves in simple harmonic motion with amplitude 15m and period 4 minutes. At time t=0 minutes, its displacement from rest is , and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t

Answers

No idea
Step by step explanation

GIVING BRAINLIST! $ CHOSE ANY!

Answers

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most

Answers

Answer:

The answer is Deserea.

Step-by-step explanation:

Dont worry, this is simple :)

If you have a dozen cookies, that means you have 12 cookies!

And 1/4 of 12 is simply 12 divided by 4, which equeals 3, so Carla ate 3 cookies.

And Deserea ate ½ of the cookies, which is 12 divided by 2, which is 6! So Deserea ate 6 cookies.

6 is greater than 3. So Deserea ate more Cookies!

Hope this helps!

Deserea Ate the most because 1/2 is a lot more than 1/4. Hope this helps :-)

The hypotenuse of a right triangle is 30 inches. With one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary

Answers

Answer:

24 inches

Step-by-step explanation:

We can find different sides of a right angle triangle using Pythagorean theorem: [tex]c^2 = a^2+b^2[/tex], where [tex]c[/tex] is the hypotenuse and [tex]a[/tex] and [tex]b[/tex] are the other sides.

Therefore, we can re-arrange the equation for one of the other sides.

[tex]c^2-b^2=a^2[/tex].

Since we know these two sides all we have to do is put them into the equation:

[tex](30)^2-(18)^2=a^2[/tex]

[tex]a^2 = 576\\a= 24[/tex]

Therefore, the missing side is 24 inches.

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