one aquarium has a length of 7/2 feet, a width of 4/3 feet, and a height of 3/2 feet. what is the volume of the aquarium?

Answer:

0.38m

Step-by-step explanation:

1 1/4 m= 1.25m

1.25-0.87m

=0.38m

Answer:

the snake grows 0.38m

Step-by-step explanation:

To find out how much the snake grows you need to find the differences between the length of the snake after and the length before, this means you do:

the grow = the length of the snake after - the length of the snake before

= [tex]1\frac{1}{4}[/tex] - 0.87

= 1.25 - 0.87

= 0.38m

so the snake grows 0.38m

Answer:

[tex] 266.14 \: {cm}^{2} [/tex]

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

520

Step-by-step explanation:

happy to help ya :)

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

learn more on similar triangles here: https://brainly.com/question/16999173

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

Answer: 20.9420 is your answer

Answer:

b. i think

Step-by-step explanation:

The difference between the areas in square miles is 481.

Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:

Therefore, the difference between the areas in square miles is 481.

Learn more about maths in https://brainly.com/question/25273534

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

Answer:

I would say 2

Answer:

6 hours.

Step-by-step explanation:

bc to find the range of a number you have to find the difference between the largest and smallest numbers. in this case its 2 and 8 and the answer would be 6

Answer:

It's absolute value of 57

Step-by-step explanation:

B/c if you put a number into this l  l, its absolute value and it turns number into positive. If 57, is already a positive number then it stays the same. However, if it was -57, and it was put into l-57l, it turn positive.

The missing side of the right angle triangle is 8.0622577483 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Triangle is a right angle triangle.

And the sides of a right-angled triangle are:

Base = 4 unit

Perpendicular = 7 units.

To find the length of the hypotenuse:

We apply Pythagoras theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Substituting the values in the equation,

(hypotenuse)² = (4)² + (7)²

(x)² = 16 + 49

(x) = √(65)

(x) = 8.0622577483

Therefore, the value of x is 8.0622577483 units.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

The correct answer is D.

Step-by-step explanation:

According to the Pythagorean Theorem, the legs of a right triangle squared and added together is equivalent to the hypotenuse squared. To solve for x, you can use any of the two right triangles. Each of the bottom legs of the right triangles is 9 units since the two right triangles are congruent, so now we apply the Pythagorean Theorem to solve for x. [tex]x^2+9^2=19^2[/tex] ⇒ [tex]x^2+81 = 361[/tex] ⇒ [tex]x^2 = 280[/tex] ⇒ [tex]x = \sqrt{280}[/tex] ⇒ [tex]x = \sqrt{4 * 70}[/tex] ⇒ [tex]x = \sqrt{4} * \sqrt{70}[/tex] ⇒ [tex]x = 2\sqrt{70}[/tex].

Answer:

0.077 < 0.7 < 0.707 < 0.77 < 0.777

Answer:

-x - 2530

Step-by-step explanation:

5x - 2530 - 6x

5x - 6x = -x

-x - 2530

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5/x-(25/30)=0  

Step by step solution :

STEP

1

:

           5

Simplify   —

           6

Equation at the end of step

1

:

 5    5

 — -  —  = 0  

 x    6

STEP

2

:

           5

Simplify   —

           x

Equation at the end of step

2

:

 5    5

 — -  —  = 0  

 x    6

STEP

3

:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       x  

     The right denominator is :       6  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 0 1 1

3 0 1 1

Product of all  

Prime Factors  1 6 6

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

x  1 0 1

     Least Common Multiple:   6x

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 6

  Right_M = L.C.M / R_Deno = x

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      5 • 6

  ——————————————————  =   —————

        L.C.M              6x  

  R. Mult. • R. Num.      5 • x

  ——————————————————  =   —————

        L.C.M              6x  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 • 6 - (5 • x)     30 - 5x

———————————————  =  ———————

      6x              6x    

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  30 - 5x  =   -5 • (x - 6)  

Equation at the end of step

4

:

 -5 • (x - 6)

 ————————————  = 0  

      6x      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -5•(x-6)

 ———————— • 6x = 0 • 6x

    6x    

Now, on the left hand side, the  6x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -5  •  (x-6)  = 0

Equations which are never true:

5.2      Solve :    -5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

One solution was found :

x = 6

this should make it ez for you now

The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

For a 2 by 2 matrix, the inverse is generally expressed as:

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Learn more on inverse of a matrix here: https://brainly.com/question/27924478

#SPJ1

Answer:

51

Step-by-step explanation:

sum of exterior angles = 360

64  + 60 + 69 + 42 + x + x +23 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

x = 51

Answer:

The person below me is correct

Step-by-step explanation:

Answer:

=−4.2f−36

Step-by-step explanation:

combine like terms

Answer:

sis 3rd option is correct

Answer:

b

Step-by-step explanation:

Answer:

Amaia walked 28 meters

Step-by-step explanation:

So first we know that the side x+3 is equal to the side 3x+1

subtract 1 and x from both sides to get x=1

then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.

plug in 1 to one of the original equations to get 4

4+4+10+10=28

Answer:

When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.

Step-by-step explanation:

Answer above

Answer:

uh i think thats acute so maybe a?

Answer: 5 could be a solution to x because 5 is less than 5.001

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation: