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Nataliya [291]
2 years ago
9

Multiply 8 times the square root of 3 by 9 times the square root of 27.

Mathematics
1 answer:
Viktor [21]2 years ago
6 0
8√3 · 9√27
8 · 9 ·√3 · √27
72 · √81
72 · 9
648

The answer is 648. :)
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*REVERSE PROPORTION*
muminat

9514 1404 393

Answer:

  33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

  1.40 × purchase price = £42

  purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

  £30 × 40% = £12

The purchase price of the skirt is ...

  total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

  total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

  skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

5 0
2 years ago
What is the volume of the cube in cubic feet? please help
motikmotik

Answer:

512

Step-by-step explanation:

since its a cube, all the side lengths are even, so its just 8^3 or 8*8*8

8 0
3 years ago
I need help with this.
Alla [95]

Answer:

B

Step-by-step explanation:

3x + 15 = -4x + 8

7x = -7

x = -1

4 0
3 years ago
Find the radius of a circle whose circumference is 216 units, use 3.14 for π. r = 34.377 r = 34.395 r = 68.790
dlinn [17]

Answer:

The value of radius is 34.395..

Step-by-step explanation:

The formula for finding the circumference of the circle is:

C=2πr.

Here we have given the values:

circumference = 216 units

π = 3.14.

r = ?

Substitute the values in the formula:

216 = 2(3.14)r

216=6.28r

Now divide both sides by 6.28.

We get,

216/6.28 = 6.28r/6.28

34.395=r

Thus the value of radius is 34.395...

7 0
3 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2 + 5x – 1.
just olya [345]

Answer:

The equation of the axis of symmetry is x = -\frac{5}{8}

The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} ) ⇒ 2nd answer

Step-by-step explanation:

The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where

  • h = -\frac{b}{2a} and k is value y at x = h
  • The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
  • The minimum/maximum value of the function is (h , k)

∵ y = 4x² + 5x - 1

∵ The form of the quadratic function is y = ax² + bx + c

∴ a = 4 , b = 5 , c = -1

∵ The coordinates of the vertex points are (h , k)

∵ h = -\frac{b}{2a}

∴ h = -\frac{5}{(2)(4)}=-\frac{5}{8}

- To find k substitute x in the function by -\frac{5}{8}

∵ k = 4 ( -\frac{5}{8} )² + 5( -\frac{5}{8} ) - 1

∴ k = 4 ( \frac{25}{64} ) + ( -\frac{25}{8} ) - 1

∴ k =  \frac{25}{16}  - \frac{25}{8}  - 1

∴ k = -2\frac{9}{16}

∴ The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} )

∵ The equation of the axis of symmetry is x = h

∵ h = -\frac{5}{8}

∴ The equation of the axis of symmetry is x = -\frac{5}{8}

7 0
3 years ago
Read 2 more answers
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