The areas of the bases of similar rectangular prisms are 25 square inches and 64 square inches.

What is the ratio of the volumes of the rectangular prisms?


5 to 8

15 to 24

75 to 192

125 to 512

Answers

Answer 1

Answer:

D. 125 to 512

Step-by-step explanation:

The ratio of the areas of the bases:

25/ 64

This is a square of the scale factor:

k² = 25/64

The scale factor is:

k = √25/64 = 5/8

The ratio of the volumes is the cube of the scale factor:

k³ = (5/8)³ = 125 / 512

Correct choice is D

Answer 2

ratio of areas

25/64

Ratio of sides

√25/645/8

Ratio of volumes

(5/8)³125/512

Option D


Related Questions

the cell phone bill recorded that Jeremiah sent 532 text messages last week. On average how many text messages did he send each day?​

Answers

Answer:

76 messages

Step-by-step explanation:

532 divided by 7 = 76

Answer:

76 Texts

Step-by-step explanation:

Amount of texts/Days = 532/7 = 76

Please help. I will give brainliest!

Describe the outlier boundaries for the data set.

34, 38, 41, 40, 36, 36, 38, 40

This is due today...

Answers

Answer:

Step-by-step explanation:

How to Find Outliers Using the Interquartile Range(IQR)

Step 1: Find the IQR, Q1(25th percentile) and Q3(75th percentile). ...

Step 2: Multiply the IQR you found in Step 1 by 1.5: ...

Step 3: Add the amount you found in Step 2 to Q3 from Step 1: ...

Step 3: Subtract the amount you found in Step 2 from Q1 from Step 1:

A pizzeria sells a round pizza with a diameter of 16 inches. Another pizzeria sells a large square pizza with a side length of 15 inches Which of the two shapes gives you more pizza? How much more? Rounded to the nearest hundredth.

Answers

Answer:

pizzeria1

Step-by-step explanation:

Given data

pizzeria1

Diameter=16in

Radius= 16/2= 8in

Area= πr^2

Area= 3.132*8^2

Area= 201.09 in^2

pizzeria2

Diameter=15in

Radius= 15/2= 7.5in

Area= πr^2

Area= 3.132*7.5^2

Area= 176.74n^2

In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°. Find the length of h, to the nearest 10th of a centimeter.

Answers

Answer:

9.2

Step-by-step explanation:

lol

Please help I’ll give brainliest

Answers

Answer:

it answer would be 50% coz we take out percentage from 100.

Step-by-step explanation:

first add 17% and 33% it would be 50%

then subtract 50%from 100%

answer would be 50%

50%

Add the percentage to get a 100

Please help me! DO NOT SEND LINK!

Answers

Answer:

So option 4; [tex]\frac{35}{100}[/tex] is the correct option

Step-by-step explanation:

First, we need to convert [tex]\frac{2}{10}[/tex] so it's denominator is 100. To do so, we will multiply the numerator and denominator by 10

[tex]\frac{2}{10} *\frac{10}{10} = \frac{20}{100}[/tex]

Second, we need to add the two fractions to get the current total distance walked. Remember, when adding fractions, the denominator does not change.

[tex]\frac{45}{100} + \frac{20}{100} = \frac{65}{100}[/tex]

Now that we have the total distance walked, we need to subtract that to 1 mile. [tex]1mile=\frac{1}{1} = \frac{10}{10} =\frac{100}{100}[/tex]

[tex]\frac{100}{100} -\frac{65}{100} = \frac{35}{100}[/tex]

So option 4; [tex]\frac{35}{100}[/tex] is the correct option

30 points for right answer +brainliest plz plz plz helpp!
due in 10 mins where i live plz help!!!!!!!!!!!!!!!!!!hurryy

Answers

Answer:

Number one is 48 ft and number two is 92 in.

Colin pays £721.45 a year on his car insurance.
The insurance company reduces the price by 9.2%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

Answer:

Id

I forget

Step-by-step explanation:

The answer is 655.08, 9.2% of £721.45=66.3734, 721.45-66.3734=655.0766, when you round it to 2DP the final answer would be 655.08

How do I graph these points on a graph?
(-1/2, -3/2)

Answers

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!

What 0.257 to the nearest hundredth

Answers

Answer:

0.26

Step-by-step explanation:

0.2 -> tenth

0.25 -> the 5 is the hundred place

0.257 -> the 7 is the thousand place.

Round the 7 and you get 0.26

Answer:

0.26

Step-by-step explanation:

To round 0.257 to the nearest hundreth, you'd have to look at the five and seven. Since seven is a higher number than four, you'd round the 5 up one, and get rid of the seven.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

Use the compound interest formula to determine the final value of the given amount.
​$900 at 7​% compounded annually for 6 years

The final value is $ ?

Answers

Answer:

1,931.99$ is the answer

Please help me PLEASE PLEASE PLEASE PLEASE PLEASE

Answers

Step-by-step explanation:

rocket : 26 mpg

Glimmer : 484/18 = 26.89 mpg

cambria : 392/16 = 24.5 mpg

Avenger : 60/2 = 30 mpg

a. Avenger, has the highest mileage

b. cambria, has the lowest mileage

c. Avenger,Glimmer, rocket, cambria

Is the triangle a right triangle?
4 6 7
Is this a right triangle?

Answers

Answer:

No

Step-by-step explanation:

Given :-

A triangle with some side measure .The sides are 4 ,6,7.

And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.

Pythagoras Theorem :-

In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .

Here the two smallest sides are 4 & 6 .

Sum of Squares of 4 and 6 :-

[tex]:\implies[/tex] 4² + 6²

[tex]:\implies[/tex] 24 + 36

[tex]:\implies[/tex] 60

Square of 7 :-

[tex]:\implies[/tex] 7²

[tex]:\implies[/tex] 49

And :-

They aren't equal. So the triangle is not a right angled triangle .

Hence the triangle is not a right angle triangle.

Answer:

No, this triangle is not a right triangle.

Step-by-step explanation:

Step 1: Definition(s)/explanations

This is a right triangle, so the Pythagorean Theorem applies.The Pythagorean Theorem states that the legs of the triangle, squared, must equal the hypotenuse, squared.The legs of the triangle are the sides that make the right angle.The hypotenuse is the longest side.

Formula:

[tex]pt-a^2+b^2=c^2[/tex]

[tex]legs=a,b[/tex]

[tex]hypotenuse=c[/tex]

Step 2: Solve.

Now, I just plug the numbers into the formula.

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+6^2=7^2[/tex]

[tex]16+36\neq 49[/tex]

If the legs of the triangle do not equal the hypotenuse, then the triangle cannot be a right triangle.

Step 3: Conclude.

Therefore, the triangle cannot be a right triangle.

A coin bank for donations for the protection of the reef contained Php 1,570. There were twice as many Php 5-coins as

Php 10-coins and 14 less Php 1-coins as Php 5-coins. How many of each kind were there?

Answers

Answer:

There are 144 Php 5-coins, 72 Php 10-coins and 130 Php-1 coins

Step-by-step explanation:

The amount of the coins in the coin bank = Php 1,570

The number of Php 5-coins = 2 × The number of Php 10-coins

The number of Php 5 coins = The number of Php 1-coins + 14

Let 'x' represent the number of Php-5 coins, let 'y' represent the number of Php 10-coins, and let 'z' represent the number of Php 1-coins, we get;

x = 2 × y...(1)

x = z + 14...(2)

5·x + 10·y + z = 1,570...(3)

From equation (1) equation (2), and equation three, we have;

y = x/2

z = x - 14

5·x + 10·x/2 + x - 14 = 1,570

11·x - 14 = 1,570

x = (1,570 + 14)/11 = 144

The number of Php 5-coins, x = 144

y = x/2

∴ y = 144/2 = 72

The number of Php 10-coins, y = 72

z = x - 14

∴ z = 144 - 14 = 130

The number of Php 1-coins, z = 130

How to work out Pythagoras Theoram​

Answers

The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.

The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2

To find the answer (without the exponent), you should find the square root.

Now that we have the formula, let's apply it to a triangle:

90^2 + 95^2 = c^2 =

8100 + 9025 = 17125

Square root = 130.86252328302

130.86252328302 is the exact measure of the hypotenuse.

I hope this helped!

Please mark brainliest :)

Have an amaing day!

A party is held in a large tent with a perimeter between 100 m and 150 m. A robot travels along
the perimeter to serve refreshments to guests. It is
programmed in such a way that it travels 3 metres,
then turns through an angle of x degrees clockwise, travels
another 3 metres, then turns through an angle of x degrees
clockwise, and so on, until it reaches its initial
position where the staff will top up the
refreshments. Given that the robot is only able
to turn through an integer value of x, find two
possible values of x and the corresponding
perimeters of the tent.​

Answers

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°

A local rectangular patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of the new, larger, L-shaped extension is 126 square feet.

Write an equation that could be used to solve for x.

Explain how you arrived at your equation, i.e. how does it model the situation stated.

Find the value of x by solving your equation. Show your work.

Answers

Answer:

x=4

Step-by-step explanation:

(5+x)(10+x)=126

50+5x+10x+x^2 = 126

x^2 + 15x +50=126

x^2 + 15x - 76 = 0

(x+19)(x-4) = 0

X=-19, 4

X=-19 is not possible

x=4

Help please ?!?!?!!???????!???!???!!????!!??!??!?!?!!??!?!!????

Answers

Answer: B. clusters: yes; outliers: yes (so sorry if it’s incorrect (: )

YOU WILL BE A LIFE SAVER PLEASE!!!!

Answers

Answer:

A. 92

Step-by-step explanation:

90 × 6 = 540

92 + 84 + 86 + 94 = 356

540 - 356 = 184

184/2 = 92

The perimeter of a square garden is 54 feet. What is the length of one side of the garden?

Answers

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

Pls help me with this asap

Answers

Step-by-step explanation:

cutie I don't see anything

which term can be used to describe the relationship between <A and <B

A.Complementary
B.Supplementary
C.Vertical
D.Acute

(look at the picture)

Answers

Answer:

D. Acute

Step-by-step explanation:

Acute because both <A and <B are less then 90 degrees

Hope this helps :).

Answer:

Option A

Step-by-step explanation:

Given :-

A line is given which has three angles a , b and 90° .

We need to find the relationship between a and b. Also we know that the measure of angle of straight line is 180 ° .

According to Question :-

[tex]:\implies[/tex] a + b + 90° = 180°

[tex]:\implies[/tex] a + b = 180° - 90°

[tex]:\implies[/tex] a + b = 90°

Hence the angles a and b are complementary.

Y=5x-9
-2x-3y=-7
Please show
work!

Answers

what are the directions

Answer:

im not sure sweetheart <3

Step-by-step explanation:

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

The answer to this problem is 6(x+5)(x+9)

Which angles are vertical angles?

Answers

Answer: BCF AND DCA
Explanation:

Can someone help me figure out the best way to do long division? I have trouble with it every time.

Answers

Answer:

follow the steps

divide

times

minus

bring down

Answer:

It can be hard to understand something especially if you comprehend stuff more differently then the person teaching you

Step-by-step explanation:

But I think doing your research and practicing should help.

❓❓❓❓❓❓ anyone know this

Answers

The answer is (-1,3) and (-2,6)

Answer: (-1,3) ; (-2,6)

Step-by-step explanation:

The solution would be where the two graphs intersect or touch (where the line and the parabola intersect or touch).

Look at the two dots on the plane, where the line and parabola intersect--those are the answers.

Factor using the x method


( please do not answer without showing work )

Answers

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

The Cooper family and the Reynolds family took a
vacation together. The Cooper family spent two-
thirds as much as the Reynolds family spent on the
vacation. If the Cooper family and the Reynolds
family spent $1,650 in all, how much did each family
spend?

Answers

Answer: well 2/3 of 1650 is 1100 so 1650-1100=550, so the cooper family spend $1100 and the reynolds family spent $550

Step-by-step explanation: i think that’s right

Which of the following is closest to the sample standard deviation of the data set shown below?

{13, 14, 17, 22, 26, 30, 31}


(1) 5.2
(3) 7.4
(2) 6.1
(4) 8.3

Answers

(3) 7.4 is the standard deviation for this data set.
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