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The area is 47*pi.

I'm afraid that that is wrong

It is 480 I Doubble checked my work also

Thank you for your answers.

Could you explain how you got those answers, please?

a. Angles A and C are 40 degrees, angle B and D are 140 degrees.

b. AC = 90, BD = 68

c. The angle between the diagonals is 20 degrees.

I still don't understand how you got 32 for angle ACB. Could you explain it in more detail?

The solutions are -2, 1, and 8.

Al desarrollar el examen parcial de Matemática los 45 estudiantes del aula B10 de la UCAL, salieron desaprobados 9 de ellos. ¿Qué porcentaje de estudiantes aprobados hay en esta aula?  

google translate:   When developing the partial exam of Mathematics the 45 students of the B10 classroom of the UCAL, 9 of them left disapproved. What percentage of passing students are in this classroom?  

If "disapproved" means didn't pass, then 36 passed.  36 / 45 = 0.8  =  80%

One quarter note equals  

none of you guys plays anything?  

In 4/4 time a quarter note is one beat and there are four beats to a measure 

In 3/4 time a quarter note is one beat and there are three beats to a measure  

4/4 is almost always what they play a normal rock song in 

3/4 is a waltz

In 6/8 time an eighth note is one beat and there are six beats to a measure 

In 6/8 time a quarter note is two beats and there are six beats to a measure  

You can play 6/8 to sound similar to 3/4, but don't    

6/8 is almost always a slow dance – offhand, I can't think of any fast song in 6/8    

38 degrees

In given figure,

Quadrilateral ABCD is a parallelogram.

So, AD ∣∣ BC

∴ ∠DAC = ∠ACB  --- ( Alternate angle)

∴ ∠ACB = 32∘

∠AOB + ∠BOC = 180∘  --- (straight angle)

⇒70∘ + ∠BOC = 180∘

∴ ∠BOC = 110∘

In △BOC,

∠OBC + ∠BOC + ∠OCB = 180∘

⇒∠OBC  + 110∘ + 32∘ = 180∘

⇒ ∠OBC = 38∘

∴  ∠DBC = 38∘

Making 39 degrees true

24 gallons

( Tank capacity = c )

 (1/6)c + 2 = (1/4)c

2c/12 + 24/12 =  3c/12, or

24/12 = c/12 ( choose which one )

Multiplying both sides by 12

= 24 = c

Thanks for the answer it was correct. But would you be that kind and show me an explanation?

1. A = -2

Expand out terms of the left hand side

1-7a³-49=-a³

-7a³-48=-a³

Taking out minus common from both sides and cancel them

-(7a³+48)=-(a³)

7a³+48=a³

Add -a³-48 on both sides

7a³+48-a³-48=a³-a³-48

6a³=-48

Divide both sides with 6

(6÷6)a³=(-48÷6)

a³=-8

Write -8 in the expansion form which is (-2)×(-2)×(-2)=-8

a³=(-2)³

From above it says that

a=-2

2. Sorry for this one I do not know. But I hope the answer up top will do something to satisfy you.

The answer is A. 26a - 13h.

126\(\sqrt{3}\) 

So we know that:

\(\sqrt{27} * \sqrt{(12)} * \sqrt{(147)}\)

( ' * ' being " multiply " )

= 42 \(\sqrt{3}^3\)

Simplify:

= 42 * 3\(\sqrt{3}\)

Multiply:

42 * 3 \(\sqrt{3}\)

= 126\(\sqrt{3}\)

2, 8 notes

If you look in musical terms and MATH

a quarter represents in ( music ) 1. But regular notes equals 4 ( like in ratio )

1 : 4, 2 : 8, 3 : 12 .....

So 2 quarter notes 

= 8 ( regular ) notes.

The diagonal of the square is 2, so the side is 2 divided by sqrt(2). 

The side equals the sqrt(2) which is approximately 1.414   

Find all values of x such that 3x^2 + 14x + 8 = x^2 + 26x + 10.  If you find more than one value, then list your solutions, separated by commas. 

Just solve for x          3x² + 14x + 8  =  x² + 26x + 10  

                                 2x² – 12x – 2  =  0    

                                 This won't factor, so you have to use the quadratic formula. 

                                  I can't write down the symbols for the quadratic formula. 

                                  I graphed it and the roots are approximately –0.2 and +6.2  

Five times a number is divided by 7 more than the number. If the result is 0, then what was the original number?  

          5n  

       –––––  =  0 

        n + 7  

The only way this can happen is n = zero.   

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