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3 years ago

I will give you 100 points if you answer this

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

$y=\frac{3}{4} x$

Step-by-step explanation:

The line passes the origin(0,0) and point (4,3). Using rise/run we can tell that the slope is 4/3
and using y=mx+b where m represents the slope we can tell that the final equations is $y=\frac{3}{4} x$

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Given sinx=3/5 and x is in quadrant 2, what is the value of tan(x/2)

xxMikexx [17]

X is in the second quadrant means that x/2 is in the first quadrant.

Consider the right triangle drawn in the figure. Let tan(x/2)=a.

Then, let the length of the opposite side to x/2 be a, the adjacent side be 1 and the hypotenuse be square root of a squared +1, as shown in the figure.

sin(x/2)=|opp side|/ |hypotenuse| = $\frac{a}{ \sqrt{ a^{2}+1 } }$

cos (x/2) = |adj side|/ |hypotenuse| = $\frac{1}{ \sqrt{ a^{2}+1 } }$

from the famous identity: sin(2a)=2sin(a)cos(a), we have:

2sin(x/2)cos (x/2)=sin(x)

thus

$2* \frac{a}{ \sqrt{ a^{2}+1 } }*\frac{1}{ \sqrt{ a^{2}+1 } }= \frac{3}{5}$

$2* \frac{a}{ a^{2}+1 }= \frac{3}{5}$

$10a=3 a^{2} +3$

$3 a^{2}-10a +3=0$

(3a-1)(a-3)=0

thus a=1/3 or a=3

thus tan(x/2)=1/3 or tan(x/2)=3

Answer: {1/3, 3}

3 0

3 years ago

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This table contains information about the suites available at a nearby hotel. Staying in a Standard suite costs $54.50 less than

sammy [17]

B

Ultra Deluxe costs 132.29 per night, subtract 54.50 from that and you get 77.79

7 0

3 years ago

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Is this triangle a right triangle? yes or no?

svlad2 [7]

Answer:

Yes.

Step-by-step explanation:

You can use the Pythagorean theorem to figure this out.

5²+12²=13²

25+144=169

169=169

You can also look at the bottom left corner, which is a right angle. All triangles containing right angles are right triangles.

You can also base your answer off of the fact that triangles are kind of like <u>G</u>oogle: They're always right. (jk no that's not true neither are always right)

Note:

If you're a Connexus student, please join my class on Quizlet using this link: https: // quizlet. com / join / 6nmuZyd2M (copy-paste into search, then take out ALL spaces)

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2 years ago

Please help me with the question below

nata0808 [166]

Answer:

Step-by-step explanation:

If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.

The second part tells us that Eden will be twice as old as Judge in two years.

This means that in two years: (Eden's age) = 2 * (Judge's age).

Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x

Simplify the equation:

x + 6 = 2x

6 = x = Judge's age (in two years)

If Judge is 6 two years later, then he must be 4 now.

To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.

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3 years ago

The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual dis

Illusion [34]

10/4=x/20
Your answer will be x=50 kilometers

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3 years ago

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I will give you 100 points if you answer this ​

I will give you 100 points if you answer this