Kyle has a storage box in the shape of a rectangular prism. The box has a square base with sides that are three feet long. The height of the storage box is 6 feet. What is the volume of Kyle's storage box?

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!

Step-by-step explanation:

1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3

(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)

2. Use division distributive property: (x/y)^a= x^a/y^a

(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)

3. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)

4. Use multiplication distributive property (xy)^a= x^a y^a

(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)

5. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+4n^2)

6. Cancel 2

(m/2+2n)(m^2/4+m×2n+4n^2)

7. Regroup terms

(m/2+2n)(m^2/4+2mn+4n^2)

8. Expand by distributing sum groups

m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)

9. Expand by distributing terms

m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)

10. Expand by distributing terms

m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3

11. Collect like terms

m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3

12. Simplify.

And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3

Can you make me Brainliest please

Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

Answer:

The door is not in rectangle shape.

Step-by-step explanation:

Given:

Length of base = 30 inches

Height of door = 84 inches

Diagonal of door = 91 inches

Find:

The door is rectangle or not

Computation:

Using Pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

So,

91² = 84² + 30²

8,281 = 7,056 + 900

8,281 ≠ 7,956

So we say that the given door angle is not 90°

So,

The door is not in rectangle shape.

Answer:

7/32 pounds  each  = 0.21875

Step-by-step explanation:

7/8 divided into 4 is the same as

7/8 multiplied by 1/4  = 7/32

Answer:

Hello! Sorry about your luck before although im 99% sure my answer is correct.

Answer: area is 180

Step-by-step explanation:

Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...

7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

Area of a parallelogram = base × height

The area of the parallelogram

= 2.7 × 1.2

= 3.24 m²

2.

Try to divide the figure into 2 rectangles and find their areas.

The area of the larger rectangle

= 6 × (20-6)

= 84 cm²

The area of the smaller rectangle

= 12 × 6

= 72 cm²

The total area of the figure

= 84 + 72

= 156 cm²

Answer:

C) 3.24m^2

C) 156 cm^2

Step-by-step explanation:

The area of a parallelogram is base * height.

The base is 2.7m, while the height is 1.2m.

2.7*1.2 = 3.24m^2.

We can envision the area of the figure to be a rectangle with another rectangle cut out of it.

The total rectangle's area is 20*12, which equals 240cm^2.

The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.

Now we just have to subtract 84. from 240, which is simple. 240-84=156.

The answer is 156cm^2.

Answer:

x=1

Step-by-step explanation:

3-√x-2 =0

-√x=2-3

√x=1

x=1²=1

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.

The Coordinates for point A and B are as follows:

A                                 B

 1                                  2

 2                                 4

 3                                 6

 4                                 8

 5                                 10

 6                                 12

 7                                  14

 8                                  16

 9                                  18

 10                                20

Thus, y-coordinates are double than x-coordinates.

Learn more about Coordinate system from:

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Answer: 2

Hope this Helps!

The common difference of the given arithmetic sequence is 2.

The given arithmetic sequence is -17, -15, -13, .....

We need to find the common difference in the given arithmetic sequence.

A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...

Now, common difference=-15-(-17)=-15+17=2

-13-(-15)=-13+15=2

Therefore, the common difference of the given arithmetic sequence is 2.

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Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

Answer:

3 is the answer

Step-by-step explanation:

Mark brainliest

Answer:

x=20

Step-by-step explanation:

3x+80+2x=180(being linear pair)

5x=180-80

x=100/5

x=20

3x=3*x  =3*20  =60

2x=2*x  =2*20  =40

Answer:

link is virus dont search

Step-by-step explanation:

Also, I think it's #1. Hope this helps! UwU

Answer:

since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381

Step-by-step explanation:

A=14πd2=14 · π · 222 ≈ 381

i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Answer:  She paid $66.33

Step-by-step explanation:

The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16.  She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.

Overall, she paid 66.33.

Answer:

It's $66.33

Step-by-step explanation:

87.95-27.79+6.17=66.33

↓

She first bought electronics worth of $87.95.

Returned a video game and received a refund of $27.79.

=60.16 (87.95-27.79) | You have to subtract.

Had to pay a fee of $6.17 after returning the video game.

final amount - $66.33 (60.16+6.17) | You have to add the amount she now had after she got the refund and the restocking fee she had to pay.

Answer:

3+2 = 22 +30=  59 1/2

(x + c)2 = d or (x – c)2 = d. = (c * d)(x) = 4x^3 + 18x^2 - 10x

X=1+2

Step-by-step explanation:

sorry if wrong was every confused

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Answer

~~~~~~~~~~~~

slope: 1

y intercept: 4

equation: y=x+4

Answer: 2,-6

Step-by-step explanation:

The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).

To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.

3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.

Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.

4. Factor the perfect square trinomial: (x - 2)² + y = -6.

The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).

To learn more about parabolas;

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The complete question:

Complete the square to find

the vertex of this parabola.

x² - 4x + y + 10 = 0

the second one.

Step-by-step explanation:

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Answer:

He can fit 11 ft^3

Step-by-step explanation:

Here, we want to get the volume it clothes that could fit into the two boxes

What we have to do here is to add the amount of space each of the box has to offer

Mathematically, we have this as;

7 ft^3 + 4 ft^3 = 11 ft^3

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!