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3 years ago

What is the union of the two sets A = {4, 8, 10, 12, 14} and B = {12, 14}?

2 answers:

5 0

The union of the two sets is the combining of the two sets, so the correct answer is A. {4, 8, 10, 12, 14}.

Hope this helps =)

Murljashka [212]3 years ago

5 0

A. Because the numbers belong to the same group of variables.

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Max p=3x+2y subject to 5x+y<16 2x+3y<22 x>0 y>0

garri49 [273]

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

3 0

3 years ago

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Murrr4er [49]

11 by 16

Explanation:

Set up two equations

176

Solving the first equation for x

−

this gives

−

Divide both sides by 2

(

)

−

This gives.

−

putting this value into the second equation gives.

(

−

)

176

multiplying across the parenthesis gives

−

176

subtracting 176 from both sides gives

−

176

multiplying by negative one gives

−

176

factoring this into y gives

(

−

)

(

−

)

Solving for both y's gives

6 0

2 years ago

If a scalene triangle has its measures 4 m, 11 m and 8 m, find the largest angle.

soldier1979 [14.2K]

Answer:

129.8 approximately

Step-by-step explanation:

So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.

So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.

My math is case sensitive.

X is the angle opposite to the side x.

Law of cosines formula is:

$x^2=a^2+b^2-2ab \cos(X)$

So we are looking for X.

We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).

$11^2=4^2+8^2-2(4)(8)\cos(X)$

$121=16+64-64\cos(X)$

$121=80-64\cos(X)$

Subtract 80 on both sides:

$121-80=-64\cos(X)$

$41=-64\cos(X)$

Divide both sides by -64:

$\frac{41}{-64}=\cos(X)$

Now do the inverse of cosine of both sides or just arccos( )

[these are same thing]

$\arccos(\frac{-41}{64})=X$

Time for the calculator:

X=129.8 approximately

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4 years ago

En una bolsa de 24 bolas,las bolas blancas son 1/4 de ellas. sin sacar ninguna,

Georgia [21]

Hola , la cantidad de las pelotas blancas es 1/4 es otras palabras 25 por ciento ya que 1 divido entre 4 es .25 , o sea hay 6 pelotas blancas ya que 25 por ciento mas 25 por ciento es 50 por ciento la mitad , entonces tienes que agregar 6 bolas.

6 0

3 years ago

Read 2 more answers

What is an equation for the line that passes through the points (-2, 3) and (2, 1)?

wolverine [178]

Answer:

y=-4+-1

Step-by-step explanation:

hope this is what your looking for

8 0

3 years ago