A fish tank at an aquarium has a volume of​ 1,568 cubic feet and a depth of 8 feet. If the base of the tank is​ square, what is the length of each side of the​ tank?

Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement [tex]{}[/tex]                                       Reason          

[tex]\underset{BD}{\rightarrow}[/tex] bisects ∠CBE [tex]{}[/tex]                            Given

Therefore;

∠EBD ≅ ∠CBD  [tex]{}[/tex]                              Definition of angle bisector

∠FBE ≅ ∠CBA [tex]{}[/tex]                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD [tex]{}[/tex]     Transitive property

∠FBE + ∠EBD = ∠FBD [tex]{}[/tex]                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD [tex]{}[/tex]                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        [tex]{}[/tex]                          Transitive property.

Answer:

A) 6cm

B) 2:3

C) 1:5

Step-by-step explanation:

A) area of rectangle = width × length

54cm^2 = x × 9

x = 54 ÷ 9

width = 6cm

B) the width = 6cm

the length = 9cm

the ratio between the width and the length

=》6cm : 9cm

if you simplify, it becomes 2: 3

C) the perimeter of the rectangle

= (2 × width) + (2 × length)

= (2 × 6) + (2 × 9)

= 12 + 18

= 30 cm

the ratio between the width and the perimetet

=》 6cm : 30 cm

if you simplify, it becomes 1 : 5

Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

Answer:

16 runners

Step-by-step explanation:

you have to add up all the runners that are under 13 minutes. Which is, 8+6+2 = 19 runners

Answer:

360

Step-by-step explanation: 360 is the least

Answer:

The answer is 360

[tex]\text {Hello! Let's Solve this Problem!}[/tex]

[tex]\text {To Solve this problem we must know that Multiplying a Negative to a Negative}[/tex] [tex]\text {will equal a positive.}[/tex]

[tex]\text {\underline {Multiply}}[/tex]

[tex]\text {-3*-5=}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {15}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {Also just remember when it comes to problems like these, think if it as 2 positive}[/tex] [tex]\text {numbers. So really it's just 3*5}[/tex]

Answer:

after 9 days

Step-by-step explanation:

day 1

you: 70

friend: 54

day 2

you: 65

friend: 51

day 3

you: 60

friend: 48

day 4

you: 55

friend: 45

day 5

you: 50

friend: 42

day 6

you: 45

friend: 39

day 7

you: 40

friend: 36

day 8

you: 35

friend: 33

day 9

you: 30

friend: 30

Answer:

8 days

Step-by-step explanation:

x=days

70 - 5x = 54 - 3x

-54                 +5

16         =        2x

8          =          x

Check:

       you                    friend

70 - 5 x 8 = 30  |  54 - 3 x 8 = 30

70  -  40   = 30  |  54  -  24   = 30

    30       =  30  |      30        = 30

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

6g + 4a = 7a

⇔ 6g = 7a - 4a

⇔ 6g = 3a

Divide both side by 6a

⇒ [tex]\frac{6g}{6a} = \frac{3a}{6a}[/tex] ⇔ [tex]\frac{g}{a} = \frac{1}{2}[/tex]

I hope this will help you.

Answer:

No

Step-by-step explanation:

3/8 is less than 1

For a fraction to be greater than 1 the numerator, the top number, would have to be larger than the denominator, the bottom number.

ex. 3/2 = 1.5

     3/8 = 0.375

Answer: k= -10x+12

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-9,8) and (3,6)

The distance between them is

[tex]d = \sqrt{ ({ - 9 -3 })^{2} + ({8 - 6})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {2}^{2} } \\ = \sqrt{144 + 4} \\ = \sqrt{148} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{37} \: \: \: \: \: \: \: \: \\ = 12.1655...[/tex]

We have the final answer as

Hope this helps you

Answer:

They are the same when you work them out both problems have an area of 1256 square inches of pizza. The only difference is in how many pizzas they buy

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

4x - 5 + 2x = 7

6x - 5 = 7

6x -5 + 5 = 7 + 5

6x = 12

6x / 6 = 12 / 6

x = 2

I hope this helps!!

Answer:

Bruh, this is really easy. Answer is no.

Step-by-step explanation:

Do you not know what 6 times 15 is??

Answer: No

Step-by-step explanation:

90 + 12 = 102

6(15 + 12) = 162

hope this helps

Answer:

1. D

2. A

3. -1/3

4. 1/2

5. 2/3

Answer(s):

1. C. The graph has a slope of 0. (The slope is the change in the value of y over the change in the value of x--also known as rise over run--and there is no "slope" in this horizontal line. Think of slope like the steepness of a hill. If there is no steepness, then there is no slope.)

2. A. The graph decreases from left to right. (A negative slope is doing down a hill while positive is going up. So, if it's going down, then it's decreasing from left to right. Draw it out to better understand it if you're still confused.)

3. m =  [tex]-\frac{1}{3}[/tex]  (Slope is rise over run. If the y is going down, it's a negative change. If up, then positive. For the x, if it's going to the right--or forwards, if your think about it, then it's positive and negative when going towards the negative left side. In this graph, the y decreases by one and the x increases by three. x/y would result in -1 over 3.)

4. m =  [tex]\frac{1}{2}[/tex] (If there are no plotted points for you, just pick two points from the graph! Find the change in y and the change in x, put it in the format m = y/x and simplify if needed.)

5. m = [tex]\frac{2}{3}[/tex] (Like in no. 4, find the changes in y over x. Then, simplify if needed. For example, the rise over run of two points I found was 4/6, which is 2/3.)

Answer:

1) A KitKat Crispy bar

2) B4

3) Then the machine is broken

4) It could be a malfunction

5) No, someone messed up the stickers

6) Them the machine is working

Answer:

5. kitkat

6. B4

7. the machine was either switching between snacks or its a malfunction. stickers also may have been messed with

8. possibly? im not sure what the question is exactly asking but i would assume so

9. no it just means snacks are in two different places but sometimes yes it could be a malfunction

10. then it is not a problem. they use the same input and get the same output.

Answer:

9

Step-by-step explanation:

5+ (square root of 4 is 2)

2x2=4

4+5=9

Answer:

21 weeks

Step-by-step explanation:

Equation: y = 15x + 35

15 is the rate of change and 35 is the starting point

Lets replace y with 350 since that the goal

350 = 15x + 35

Subtract 35 from both sides;

315 = 15x

Divide both sides by 15;

x = 21

He will have to deliver papers for 21 weeks to have enough money to buy a new bicycle.

F(11) means to replace x in the equation with 11

12(11) + 5

12 x 11 = 132

Now you have 132 + 5 = 137

F(11) = 137

Answer:

I believe RS is 38.

Step-by-step explanation:

RT is 50, which is the total length of the number line. ST is 12, which is one part of the line. To find RS. I believe you have to subtract 50-12 to get the length of the missing part. which is RS.

50-12 = 38

Step-by-step explanation:

p = 5 ÷ (12.37 - 1.12)

p = 5 ÷ 11.25

p = 2.25

Answer:

$12.37-1.12=$11.25

let p =1 slice

5(p)=11.25

5p=11.25

Answer:

[tex] \frac{1}{2} \: cups[/tex]

Step-by-step explanation:

Butter required for one recipe of cookies

[tex]= \frac{2}{3} [/tex] cup

Therefore,

Butter required for [tex] \frac{3}{4} [/tex] recipe of cookies

[tex]= \frac{3}{4} \times \frac{2}{3}\\\\

= \frac{1}{2} \times \frac{1}{1}\\\\

= \frac{1}{2} \: cups[/tex]