Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)

By definition of the perfect square trinomial:

[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]

[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]

And by direct comparison we have the following system:

[tex]a = 33[/tex] (2)

[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)

By (3), we solve for [tex]b[/tex]:

[tex]b = \frac{20}{\sqrt{3}}[/tex]

[tex]b = \frac{20\sqrt{3}}{3}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

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Answer:37.68

Step-by-step explanation:

Do yk the anwser to my question?

Answer:

exponent is -3, ceofficiant is 4

(d)

Answer:

the answer is 35/6 hope it helps:)

Answer:

The answer is 35/6

Step-by-step explanation:

Multiply the denominator by the whole number.

5 x 6 = 30

Then add the Numerator.

30 + 5 = 35

Now the answer is 35/6, you don't change the denominator.

Answer:

9/20

Step-by-step explanation:

There are 40 marbles

18 are white

P( white marble) = number of white marbles / total number of marbles

                            = 18/40  = 9/20

Answer:

You would approximate because the hypotenuse might not be a perfect square.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4

so we can say the ratio multiplied by the number of questions equals the correct answers

while x is the number of questions:

solve for x

3/4 * x = 27

x = 27 / (2/3) = 36

Answer:

mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have

Answer:

The first one, f+2g+3t! :)

Step-by-step explanation:

F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.

Exquisite.

All are Correct

My doubts do come from your last answer.

I think the complement should be 60° too

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

Answer:

(⁴√81)⁵

= [tex]81^{\frac{5}{4} }[/tex]

[tex]81^{\frac{5}{4} }[/tex]

= 243

Step-by-step explanation:

(⁴√81)⁵

(3)⁵

= 243

Answer:

the answer is B 81^4/5 I HOPED THIS HELPED

Answer:

375

Step-by-step explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular  surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total  surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF  A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375

Answer:

The percentage discount for the cost of the guitar is 45%.

Step-by-step explanation:

First let's find the difference between the original price and the new price.

80 - 44 = 36

So the actual discount got the price down by $36.

To find the percentage discount we need to ask ourselves the question

36 is what percent of 80?

36 = X percent of 80

In math, of means multiply.

36 = X percent * 80

So to get the "X percent" part alone we divide by 80 on both sides.

36 divided by 80 = 0.45

36 is 45 percent of 80.

The percentage discount for the cost of the guitar is 45%.

Answer:

45%

Step-by-step explanation:

There are 450 people with over 3 people in their family. There are 1000 total people. 450/1000 is 45%

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

Answer:

positive divided by positive = positive

negative divided by positive = negative

positive divided by negative = negative

negative divided by negative = positive

Step-by-step explanation:

Examples;

8 ÷ 2 = 4

-8 ÷ 2 = -4

8 ÷ -2 = -4

-8 ÷ -2 = 4

You can try these on a calculator

1. positive

2. negative

3. negative

4. positive

The number resulting from the division of one number by another.

The given quotient can be positive or negative can be decide by the facts given below:

1) positive divided by positive = positive

2) negative divided by positive = negative

3) positive divided by negative = negative

4) negative divided by negative = positive

Examples;

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Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

Answer:

2556

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

5/6=0.84, 8/10= 0.8

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= x²+1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= x²+2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!

Answer:

x = 11.3

Step-by-step explanation:

This is a right isosceles triangle

x² + x² = 16²

2x² = 256

x² = 128

x = 11.3

Answer:

.899

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 6400 : 400 = 16

Answer: 6347.218

Step-by-step explanation:

Answer:6,347.218

Step-by-step explanation:

look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004