Grant is replacing his aquarium. His old aquarium was in the shape of rectangular prism with a volume of 5,184 cubic inches.

The new aquarium is also a rectangular prism with a length, width, and height that are each 5/8 times as long as the corresponding dimension of his old aquarium. Grant concludes the two aquariums are geometrically similar figures. Which statement is true?

A. The two aquariums are similar, and the volume of the new aquarium is 3,000 cubic inches.
B. The two aquariums are similar, and the volume of the new aquarium is 4,320 cubic inches.
C. The two aquariums are not similar, and the volume of the new aquarium is 3,000 cubic inches.
D. The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.

Answers

Answer 1

Answer:

The answer is B

Step-by-step explanation:


Related Questions

The equation of a circle is given below.


x^{2}+(y+4)^{2} = 64x


2


+(y+4)


2


=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64


What is its center?


((left parenthesis


,,comma


))right parenthesis


What is its radius?


If necessary, round your answer to two decimal places.


units

Answers

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

[tex]x^2+(y+4)^2=64x[/tex]   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Please help, thank you.

Answers

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

How to solve this question

Answers

Answer:

3 hours

Step-by-step explanation:

let h be the hours of tuition, then

11h + 8.5 ← models the cost of Leda's tuition

10.5h + 10 ← models the cost of Thanh's tuition

Equate the 2 and solve for h

11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )

0.5h + 8.5 = 10 ( subtract 8.5 from both sides )

0.5h = 1.5 ( divide both sides by 0.5 )

h = 3

Thus after 3 hours the price would be the same for both instructors

which of the following is equivalent to 5 cube root 13^3

Answers

Answer:

d. 13 raise power 3/5

Step-by-step explanation:

Order each set of the numbers from LEAST to GREATEST

0.23, 19%, 1/5

Answers

19% then 1/5 and lastly 0.23

Kendra made a scaled copy of the following square. She used a scale factor less than 111. What could be the side length of the scaled copy of the square.

Answers

Answer:

B,C,E

Step-by-step explanation:

khan academy

Side length of the scaled copy of square is smaller than original.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given,

Scale factor of scaled copy of square is less than 1.

Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.

if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.

Hence, side length of constructed square is smaller than the original square.

Learn more about scale factor here:

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Please help and show work and steps

Answers

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.​

Answers

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Seth's mother brought home 3/4 of a chocolate cake and 1/2 of a vanilla cake that was left from a party at her work. Seth ate 1/3 of the chocolate cake that was left. How much of the whole chocolate cake did he eat?

Answers

Answer:

1/4 of the cake.

Step-by-step explanation:

Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.

[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]

Therefore, he ate 1/4 of the entire cake.

Find the area of a rectangle with the given base and height 9ft , 3in

Answers

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

Pls help me answer this if ur good at algebra. Thanks .

Answers

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

A triangle is formed with side lengths of 24 centimeters, 26 centimeters, and 10 centimeters. Is the triangle a right triangle? A) The triangle is a right triangle because 24^2+10^2=26^2. B) The triangle is a right triangle because 2(24)+2(26)=2(10) C) The triangle is not a right triangle because 10^2+26^2=24^2. D) The triangle is not a right triangle because 24^2-26^2=10^2

Answers

Answer:

A)

Step-by-step explanation:

676=676

The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.

Answers

Answer: it is not a right triangle

12^2=7^2+10^2

144=49+100

144=149

To prove this we try the pitagor teorem which the largest side is the hypotenuse

It is not a right triangle.

We have given that,

The triangle has side lengths 7, 10, and 12.

What is the Pythagoraus theorem?

[tex]hypotenous^2=side^2+side^2[/tex]

12^2=7^2+10^2

144=49+100

144=149

The pitagor theorem which the largest side is the hypotenuse.

To learn more about the triangle visit:

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what is t if 5/7t = 15

Answers

Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

whta is the first quartile

Answers

Answer:

First quartile: the lowest 25% of numbers.

Step-by-step explanation:

you're welcome.

An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?

Answers

Write the equations:

a +c = 15

a = 15-c

29.95a + 21.95c = 353.25

Replace a in the last equation:

29.95(15-c) + 21.95c = 353.25

Simplify:

449.25 - 29.95c + 21.95c = 353.25

449.25 - 8.00c = 353.25

Subtract 449.25 from both sides:

-8.00c = -96.00

Divide both sides by -8.00:

c = -96 / -8

c = 12

There were 12 children.

there would’ve been 12 children

if 2x+15= 30
then what is x?

Answers

Answer:

x = 15/2

Step-by-step explanation:

2x + 15 = 30

2x = 15

x = 15/2 or 7.5

Answer:

7.5

Step-by-step explanation:

2x+15=30

2x=30-15

2x=15

x=7.5

If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please

Answers

Answer:

I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah

Step-by-step explanation:

hope this helps and also hope my brother can help byyyyyeeeee

I’m also in 9th grade and need help

Please Help me now plz

Answers

Answer:

On the circle

Step-by-step explanation:

The distance between D and G is:

[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]

If point J is not exactly this far, then it is not on the circle.

[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]

Therefore, it is on the circle. Hope this helps!

these 2 questions please will mark brainly

Answers

Answer:

[tex]28\sqrt{2}[/tex]

Step-by-step explanation:

To answer this question, you must split 98 into 2 factors:

                                                      98

                                                 2          49

                                                          7       7

2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:

[tex](7)4\sqrt{2}[/tex]

[tex]28\sqrt{2}[/tex]

Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14

Answers

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Someone please help me. ASAP

Answers

Answer:

x=2

Step-by-step explanation:

4x+6=x+12

-x         -x

3x+6=12

    -6  -6

3x=6

/3   /3

x=2

Answer:

x=2

Step-by-step explanation:

4x+6 = x+12

Subtract x from each side

4x-x +6 =x-x+12

3x +6 = 12

Subtract 6 from each side

3x+6-6=12-6

3x = 6

Divide each side by 3

3x/3 =6/3

x =2

Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet

Answers

Answer:

1 hour

Step-by-step explanation:

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.

Answers

Answer:

d

Step-by-step explanation:

I took the test

During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per year for the first twelve years. Mostafa plants a maple tree in his backyard and measures its height at 4 feet. Two years later, Mostafa measures the tree again and finds that its height is now 6.5 feet. Which statement is correct given this information?

Answers

Answer:

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

Step-by-step explanation:

Given that:

An oak tree grows at a rate of 1.5 feet per year for twelve years;

After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.

Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.

i.e x years  = 4 ft

two years later ; it height is now 6.5 ft

thus;

x year = 4 ft

x + 2 = 6.5 ft

[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]

Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of  3.2

So;

if 3.2 year = 4 ft

1 year = x

x  = [tex]\dfrac{4 *1 }{3.2}[/tex]

x  = 1.25 ft

So if an oak tree grows at the rate of 1.5 ft in a year.

Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.

From the given information in the diagram attached below; we can infer that :

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?

Answers

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

Factor the perfect square trinomial 25x^2-60x+36

Answers

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.

Answers

Answer:

0 = x2 - 9x + 20

Step-by-step explanation:

y + 5x = x² + 10     Simplify this equation

  - 5x   - 5x

y = x² - 5x + 10

Set both equations equal to each other since they both equal y

x² - 5x + 10 = 4x - 10

    -4x           - 4x

x² - 9x + 10 = -10

         + 10   + 10

x² - 9x + 20 = 0

If this answer is correct, please make me Brainliest!

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