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3 years ago

Convert 0.86 into a fraction

Mathematics

2 answers:

balandron [24]3 years ago

5 0

0.86= 86/100 this is because the 6 is in the hundredths place so the denominator is going to be 100

Alenkinab [10]3 years ago

5 0

43/50 is the best answer.

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Please help me with this question!

Rasek [7]

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

5 0

3 years ago

Read 2 more answers

What is the value of X?

Deffense [45]

These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:

x + 40 = 3x

Combine like terms

(x-x) + 40 = 3x - x

40 = 2x

Isolate x

40/2 = 2x/2

x = 20

Hope this helped!

4 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Find the perimeter and area

Paraphin [41]

Answer:

Perimeter = 19.6 cm

Area = 9.3 cm squared

Step-by-step explanation:

Perimeter: Add sides: 3.1 + 9.3 + 7.2 = 19.6

Area: 9.3 x 2 x 1/2 = 9.3

7 0

3 years ago

What is the first operation used to evaluate 5+7•6-2÷4

Kisachek [45]

Multiply 7x6 since when using pemdas, multiplication and division can be inverted, i.e. if multiplication is before division then you multiply and vice versa.

Hope this helps!

3 0

3 years ago