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4 years ago

What is the volume of the cone

Mathematics

1 answer:

Irina-Kira [14]4 years ago

3 0

The formula for the volume of the cone is:

$V = \frac{1}{3} \pi r^{2} h$

Hence the answer is B.

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Find the distance between the points

Tasya [4]

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (6, 4)

d = $\sqrt{(6-2)^2+(4-1)^2}$

= $\sqrt{4^2+3^2}$

= $\sqrt{16+9}$

= $\sqrt{25}$

= 5

3 0

3 years ago

Read 2 more answers

How many times dose 42 go into 1,984

umka2103 [35]

Here is the answer all you have to do is go 1984 divide by 42 47.23809524

4 0

4 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

A bank charges a fee if your account balance falls below $50. Let b represent the account balance. Write an inequality to descri

Paraphin [41]

Answer:

b < 50. The solution has infinite solutions because any number smaller than 50 would work, and their are infinite numbers smaller than 50.

Step-by-step explanation:

3 0

3 years ago

Evaluate the expression. 6÷−3 A.-2 B.-3 C.3 D.2

olya-2409 [2.1K]

A is the correct awnser good luck

7 0

4 years ago