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3 years ago

The formula for the volume of a cone is V = 1/3bh Solve V=1/3bh for h, the height of the cone

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

h = 3V/b

Step-by-step explanation:

V = 1/3 × b·h

3V = b·h

h = 3V/b

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What degree of rotation is represented on this matrix

Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, $-90^{\circ}$

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

$R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$

Given the matrix: $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

Now, equate the given matrix with standard matrix we have;

$\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ = $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

On comparing we get;

$\cos \theta = 0$ and $-\sin \theta =1$

As,we know:

$\cos \theta = \cos(-\theta)$

$\sin(-\theta) = -\sin \theta$

$\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

and

$\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

Therefore, the degree of rotation is, $-90^{\circ}$

7 0

3 years ago

Is 61% a rational number

vovikov84 [41]

Answer: No

Step-by-step explanation: It is irrational because 61 is a prime number.

7 0

3 years ago

An equation that describes a line that passes through (7, 1) and is perpendicular to the line described by

Veseljchak [2.6K]

( If this is wrong I’m sorry) -1/-6?

6 0

3 years ago

1 poll

Romashka-Z-Leto [24]

Answer:

400 miles

Step-by-step explanation:

150 miles/3 hours=50 miles per hour

50 miles per hour x 8 hours=400 miles

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3 years ago

If there are 300 fish in a pond and 6 of them get eaten how many is left

sweet-ann [11.9K]

Answer:

294

Step-by-step explanation:

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3 years ago