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3 years ago

Determine if the following ratios form a proportion.

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

Yes, they both equal 1/4 after simplified

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I know the selected answer is correct but I'm not too sure how to get that answer.

Kryger [21]

$\tt{ Hey \: there , \: Mr.Panda \: ! }$ ;)

♨ $\large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}:$

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( $\theta \: , \alpha \: ,\beta$ ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

☄ $\large{ \tt{REMEMBER}} :$

$\bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }$

$\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }$

$\bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }$

In the above cases , $\theta$ is taken as the angle of reference.

♪ Our Q/A part ends up here! Let's start solving the question :

❈ $\large{ \tt{GIVEN}} :$

Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16

✧ $\large{ \tt{TO \: FIND} : }$

Value of tan $\theta$

✎ $\large{ \tt{SOLUTION}} :$

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ $\boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}$ [ Pythagoras theorem ]

$\large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }$

$\large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}$

$\large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}$

$\large{⇢ \sf{ {p}^{2} = 324 - 256}}$

$\large{⇢ \sf{ {p}^{2} = 68}}$

$\large{⇢ \sf{p = \sqrt{68}}}$

$\large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}$

Okey, We found out the perpendicular i.e $\tt{2 \sqrt{17}}$ . Now , We know :

❊ $\large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }$

$\large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}}$

$\large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}$

$\large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}}$

⟿ $\boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}}$

۵ Yay! We're done!

♕ $\large\tt{RULE \: OF \:SUCCESS }:$

Never lose hope & keep on working ! ✔

ツ Hope I helped!

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3 0

3 years ago

Read 2 more answers

Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph

12345 [234]

Answer:

B) y=12x

Step-by-step explanation:

We are given with the coordinates $(0,0) , (1,12) \ and \ (2,24)$

Where $x$ represents the number of days.

$y$ represents the number of likes she got.

To model the equation using Kyle's data we find the slope using the given coordinate.

Let us say $(0,0) \ as \ (x1 , y1)$ and $(1,12) \ as \ (x2,y2)$

Slope $(m)$ formula , $m=\frac{(y2-y1)}{(x2-x1)}$

Plug in the above points now, we get

$m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12$

Now we use the point-slope formula, $(y-1)= m(x-x1)$

Plugging the corresponding values.

$(y-0)= 12(x-0)\\y=12x$

Thus option is B is the correct answer.

5 0

3 years ago

Convert:<br> 2 tons 15,000 ounces = <br> ounces

amm1812

Answer 79,000
explanation 1 ton is 32,000 ounces and you have 2 so you would have 64,000 and you add the extra 15,000 to get 79,000

7 0

3 years ago

Write the nth term of the following sequence in terms of the first term of the sequence.

ZanzabumX [31]

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

6 0

3 years ago

What is the slope-intercept form equation for the line?

zlopas [31]

Answer:

The answer is $y = - \frac{4}{5} x + 5$ .

Step-by-step explanation:

☆Remember:

$slope = \frac{rise}{run}$

▪Happy To Help <3

5 0

3 years ago