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3 years ago

A dilation with a scale factor of 4 is applied to the image below. What is the length

Mathematics

1 answer:

OverLord2011 [107]3 years ago

7 0

Answer:

8cm

Step-by-step explanation:

2×4

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How it came to this

ryzh [129]

You were really close :D
The mistake you made is that 44 - 36 is 8, not 6.
Using 8 instead, the answer is:
$3~\frac{8}{12}=3~\frac{3}{4},~or~3.75$

4 0

3 years ago

Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

How could you explain the sine and cosine relationships to someone who doesn't know about the unit circle? What visuals could yo

sukhopar [10]

If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.

8 0

3 years ago

FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W

Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

Let the total number of socks be 's'.

According to question, expression will be

Now, Suppose number of socks in each group = 4

So, it will become,

Suppose number of socks in each group = 15

So, Total number of socks become

Hence, there are 20 socks in the first case and there are 75 socks in the second case.

3 0

3 years ago

How to solve x+9/5=5/3-x-3/6

Schach [20]

Answer:

x = $-\frac{19}{60}$

Step-by-step explanation:

$x + \frac{9}{5} = \frac{5}{3} - x -\frac{3}{6} \\x + x = \frac{5}{3} -\frac{3}{6} - \frac{9}{5} \\2x = \frac{50 - 15 - 54}{30} \\2x = \frac{-19}{30} \\x= \frac{-19}{30} / 2 = \frac{-19}{30} * \frac{1}{2} \\x= \frac{-19}{60}$

i think this is

3 0

3 years ago