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3 years ago

10.3Question5.6.Explain your answer for both questions....

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

First it is reflected in the x axis (beacuse the x value becomes negative but the y values stays the same)
second its dilated by a factor of a half ( the sides of the figure are reduced by a half)
then its translated 2 units to the left and 2 units upwards

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A barn silo, excluding the top, is a cylinder. The silo is 7 m in

Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

The silo is 7 m in diameter
Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = $\frac{1}{2}$ × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0

3 years ago

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

Please help me with this probability question.

Vikki [24]

Answer:

1.6 please correct me if im wrong by commenting

Step-by-step explanation:

6 0

3 years ago

This year the seniors at Chester High School and Lewisville High School planned trips to Myrtle Beach, SC. Chester High School r

Fiesta28 [93]

The answer is c
the 1st high school has 4 vans so 4v and 2 busses so 2b and as a total they have 112 students so then you get the equation 4v+2b=112
the next high school has 6 vans so 6v and 3 busses so 3b with a total of 168 students so then you get the equation 6v+3b=168

4 0

3 years ago

A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of p

Savatey [412]

Answer:

c) $615

Step-by-step explanation:

The expression used to determine how much is the charge for the customer after the job is

$p=35h+30c$

where

h is the number of hours the job took

c is the number of cans of paint used during the job

In this problem:

c = 3 (the painter used 3 cans of paint)

h = 15 (the painter took 15 hours for the job)

So substituting these values into the equation for p, we find the total value that the painter charged for the job:

$p=35\cdot 15 + 30 \cdot 3 =615$

So, the correct answer is

c) $615

5 0

2 years ago