30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?

Answer:

the 2nd one and the 3rd one

Step-by-step explanation:

hope this helps

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

https://brainly.com/question/8959311

Answer:

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Step-by-step explanation:

[tex]\pi r^{2} (12)=324[/tex]

[tex]\pi r^{2} =27[/tex]

[tex]r^{2} =\frac{27}{\pi }[/tex]

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Answer: -7 and -6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A,B and C would be the inside of the plane not outside.

Answer:

C .12 units I think so if wrong I am sorry

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

Answer:  D    -10 - 12

Step-by-step explanation:

Temperature change is (Final T) - (Initial T)

(Final T) = -10C

(Initial T) =  12

(Final T) - (Initial T) = -10C - 12C

Temp Change - 22C

Answer:

see the attachment

I hope it's help you

Let the two numbers be X and Y

Sum of the two numbers = 5

⇛ X+Y = 5-----(1)

Difference of their squares = 5

⇛ X²-Y² = 5

⇛(X+Y)(X-Y) = 5

⇛5(X-Y) = 5

⇛X-Y = 5/5

⇛ X-Y = 1

The difference of the two numbers = 1. Ans.

also read similar questions: Two numbers differ by 5. The sum of their squares is 193. Find the numbers.

https://brainly.com/question/20616334?referrer

Lisa is using the equation x2 (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the ...

https://brainly.com/question/1456494?referrer

Answer:

x = 7

Step-by-step explanation:

you can create a proportion:

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

cross-multiply:

36(6x-2) = 30(5x+13)

distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

The value of x for the given triangle sides is x = 7.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

Cross-multiply the equations,

36(6x-2) = 30(5x+13)

Distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

To know more about geometry follow

https://brainly.com/question/28832881

#SPJ2

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

Answer:

  78.50°

Step-by-step explanation:

On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...

  90° -11.50° = 78.50°

Answer:

Step-by-step explanation:

A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?

Answer:

11 units

Step-by-step explanation:

Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.

Answer:

(p.s area is [tex]a[/tex])

To find the area of a rectangular prism you multiply [tex]l*w*h[/tex]

So then we multiply [tex]4*2*3[/tex] to get 24 the answer is

[tex]a=24[/tex]

brainliest pls

[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

45.72 meters hope this helps!

Answer:your mom

Step-by-step explanation:

srry had to do it

Answer:

0.90

Step-by-step explanation:

I’m doing the unit test

Answer:

0.29

Step-by-step explanation:

The probability that they brought both is .90

The probability of neither is .29, which is what this question is asking

Answer:

8

Step-by-step explanation:

The fraction simplifies to 9 ^5

9^5 x 9^3 = 9^8

Answer:

Step-by-step explanation:

[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]

[tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]

[tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]

[tex] = {6}^{(7 - 5)} [/tex]

[tex] = {6}^{2} (ans)[/tex]

Answer:

Step-by-step explanation:

All angles in a triangle add up to equal 180

22x+4=180

22x=176

x=8

20x=?

20(8)=160 degrees

Answer:

Step-by-step explanation:

For x=2, the dimensions are ...

  height = x = 2 inches

  width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches

  length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches

Answer:

8s+8

Step-by-step explanation:

Put it into groups: (4s+4s)+(10-2)=8s+8

Brainliest is appreciated

Answer:

(4s+4s)+(10-2)= 8s/8 =1   so s=1

Step-by-step explanation:

Answer:

(5 x 3) + (5 x 5)

Step-by-step explanation:

hope thats what your looking for

Answer:

6:20 AM

Step-by-step explanation:

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

Here's some required measures !

Let's calculate its surface area ~

Answer:

  -n

Step-by-step explanation:

If n represents "a number", then the opposite of the number is ...

  -n

__

Examples:

The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.

Answer:x<-3

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]