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3 years ago

Which of the following describes the image of a figure after a dilation that has a scale factor between zero and one?

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Answer:

When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.

Shape or figure after dilation is similar to original figure.

If the scale or factor of dilation is greater than 1 the shape enlarges.

If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.

So out of all the options given →It has the same shape as the original and is smaller than the original figure.

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Pleaseeeee pleaseeee helppppppppp

telo118 [61]

Given:

The two vectors are:

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

To find:

The value of $|\overrightarrow{a}\times \overrightarrow{b}|$ .

Solution:

We have,

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

The cross product of these two vectors is:

$\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)]$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1]$

$\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}$

Now the magnitude of the cross product is:

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}$

Therefore, the value of $|\overrightarrow{a}\times \overrightarrow{b}|$ is $\sqrt{110}$ .

5 0

3 years ago

Divide 1/5 by 1/2. Input your answer as a reduced fraction.

ad-work [718]

Answer:

2/5

Step-by-step explanation:

1/5 / 1/2= 1/5 x 2/1

2/5

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3 years ago

Read 2 more answers

Help due soon will give brainliest

kodGreya [7K]

Answer:

h=14

Step-by-step explanation:

So since the triangular shape is a right triangle, we can use a Pythagorean triple. For this question, lets use (5,12,13). But, if you just want to use the formula:

5^2+x^2=13^2

25=x^2=169

x^2=144

x=12

That means a part of h is 12. BUT, we also have an extra two ft on top of the triangle, so h=12+2=14.

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3 years ago

a beach ball has a diameter of 2 feet. which of the following is closest to the volume of the beach ball. a.4.2ft b. 12.6ft c. 1

zloy xaker [14]

Answer: A

Step-by-step explanation: v= 4/3 pi r^3

Take diameter to radius by dividing it by 1/2

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