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horrorfan [7]
3 years ago
8

When y varies directly with x, if y = 9 and x = 8 find y when x = 16

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
Then y is 18
Hope this helps
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Pleas help me solve #1 :( <br> Your answer helps so much!!
miskamm [114]

ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

3 0
3 years ago
Read 2 more answers
What property will you use to solve this equation;<br> 19+n=30
mr Goodwill [35]

Answer:

i think its multiplication property of equality

Step-by-step explanation:

19 + n = 30

19 + n - 19 = 30 - 19

n = 11

6 0
3 years ago
In a bag of 100 marbles comprised of many colors, 25 are blue. suppose marbles are selected at random.
satela [25.4K]

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:

\binom{5}{3}=\frac{5!}{(5-3)!3!}

                          =\frac{120}{2 \times 6}

                          =\frac{120}{12}=10

Therefore, there are 10 ways we could arrange 3 blue marbles.

3 0
3 years ago
The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a
Harman [31]

Your missing the diagram. Thus, I will try my best to help

Answer/Step-by-step explanation:

Given;

The diagram below shows how much time Antoine spends doing different activities each day.

How many hours does Antoine sleep in a day?

Solve;

To find how many hours does Antoine sleep in a day;

24 hour × percent of hour sleep = Hours sleep in a day

The sleeping hours = 24h × % = Hour

<u>If you still do not understand please shown the diagram!</u>

<em>~Learn with Lenvy~</em>

8 0
2 years ago
It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?<br> pls what is this
Blababa [14]

It takes Andre 1.25 minutes to swim a lap.

Step-by-step explanation:

7 0
2 years ago
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