The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths

Answers

Answer 1

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]

5 : 6


Related Questions

Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the cost per mile?

Answers

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2

Answers

     I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:

x > 2

Step-by-step explanation:

Given

58 - 10x< 20 + 9x

Add 10x to both sides of the equatoin

58 < 20 + 19x

Subtract 20 from both sides of the equatoin

38 < 19x

2 < x

x > 2

Find the area. What type of triangle is triangle ABC?

Answers

Answer:

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.

Step-by-step explanation:

Work out m and c for the line:
y=6 - 2

Answers

Answer:

Step-by-step explanation:

y=Mx+c

M=6 c=-2

Henry is solving the problems 475 x 3. His first step is shown below (400 x ___) + ( 70 x ___ ) + ( 5 x ___ ) What number should Henry write in each of the blanks

Answers

Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

Use quadratic method :
6y^2 - 4y - 3=

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?

Answers

I will clarify you
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6



Hope it helped you.. I have no doubt that it is incorrect.

So what are the chances of getting a 100% effort out of someone who never tries than someone who does??

Answers

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

help would be appreciated

Answers

Answer:

59

Step-by-step explanation:

VUW is an isoceles triangle, therefore VUW = VWU

tirangles total to 180 so 180 - 62 =118=2VUW

118 ÷2 = 59

pls help me with this​

Answers

Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)

c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)

Step-by-step explanation:

Answer:

(a)≈72.8 kilometer per hour

(b)91.125 cm^3

(c)272.25$

Step-by-step explanation:

(a)speed=mile/hour

=371mile/8.2hours

=371×1.609kilometers/8.2hours

≈72.8 kilometer per hour

(b)the vol: of cube= a^3 (a=side)

=(4.5)^3

=91.125cm^3

(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)

=272.25$

how much money is 1 quarter,1 dime and 1 nickle?

Answers

Answer:
40 ¢
0Step-by-step explanation: 25 + 10 + 5 = 40

answer:40

Step-by-step explanation:

a quarter is 25

a dime is 10

a nickle is 5

25+10+5=40

An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,

Answers

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

45 minutes before 10:35

Answers

Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

solve for x and round please

Answers

Answer:

9.6

Step-by-step explanation:

6.4/x = sin42

x = 6.4/sin42

x = 9.56

A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?

Answers

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal, after each n years.

In this problem:

The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

Question 1
Match each graph to the correct description of the number of solutions the system of equations has.

one solution

an infinite number of solutions

no solution

Answers

first graph - no solution
second graph - an infinite number of solutions
last one - one solution

A rectangular prism has a length of 14in, a height of 9in, and a width of 5in. What is its volume, in cubic in?

Answers

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

length:- 14 inchwidth :- 5 inchheight :- 9 inch

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

Given:-

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

To Find:-

[tex]\rightarrow[/tex] Volume of prism.

Formula Used:-

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

Solution:-

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form

Answers

hello!

======================================================

Perpendicular lines have slopes that are opposite reciprocals.

This means we take the slope, flop it over, and change its sign.

In this case, we have

[tex]\boxed{-4}[/tex]

First, flop it over:

[tex]\boxed{-\frac{1}{4}}[/tex]

Change its sign:

[tex]\boxed{\frac{1}{4}}[/tex]

Now, let's write the equation of the line in point-slope form:-

[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]

Where

y₁ is the y-coordinate of the point that the line intersects

m is the slope of the line

x₁ is the x-coordinate of the point that the line intersects

In this case,

y₁ is equal to -4

m is equal to  [tex]\boxed{\frac{1}{4} }[/tex]

x₁ is equal to -2

Plug in the values:-

[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]

Simplify:-

[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]

and we're done!

===========================================================

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Find the height of the building to the nearest foot in the diagram below. Show work.

Answers

Answer:

height : 150 feet

Step-by-step explanation:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using tan rule:

[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]

[tex]\hookrightarrow \sf b = tan(62)*80[/tex]

[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]

Answer:

[tex]\approx 150 \: ft[/tex]

Step-by-step explanation:

recall sohcahtoa

sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacent

here,

The adjacent side is 80 ftx°=62°The opposite side is the height

To find:

The opposite side or the height

since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,

So,

[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]

[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]

using calculator,we acquire

[tex] \implies \: h \approx 150 \: ft[/tex]

hence, the height of the building is approximately 150ft

Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?

$1.95
$5.85
$6.80
$7.80

Answers

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

What are the measures of center for a data set?

Answers

Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

what is -12 divided by 3

Answers

Answer:

-4

Step-by-step explanation:

if you divide a negative number by a positive number, you will get a negative number

Answer:

-4

Step-by-step explanation:

-(4×3)/3

by crossing both 3 out

-(4) remains

The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

Step-by-step explanation:

1. Find the slope of a line
that passes through (3,-2)
and (7,5)

Answers

5+2/7-3
=7/4 is the slope

Answer:

m= [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!

Can somebody please help me? I have dyscaluca and don't understand this

Answers

Answer:

man

Step-by-step explanation:

im sorry...you'll get it soon i swear

18. Find the surface area of the prism.​

Answers

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

100 BRAINLY POINTS!!!!!!

A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?

A. the flat fee for calls and texts

B. the cost for each gigabyte of data used

C. the total amount of a monthly bill with 1 gigabyte of data used

D. the total amount of a monthly bill with 2 gigabytes of data used

PLS HELP CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

JUST HELP ME PLSSS

Answers

Flat fee=60Rate of change=5 per GB=Slope

Now

Equation in slope intercept form

y=mx+b

If each GB be x

y=5x+60

Here

yintercept=b=60

Option A is correct

GIVING BRAINLIEST AND 30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS. YOU CAN DO IT! :D

Answers

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.

Answers

X= 2.5 2.75 divided by 1.10 =2.5

I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need​

Answers

Answer:

2 eggs

Step-by-step explanation:

Use a proportion.

48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.

48/8 = 12/x

Reduce the left fraction.

6 = 12/x

Multiply both sides by x.

6x = 12

Divide both sides by 6.

x = 2

Answer: 2 eggs

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