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3 years ago

Hey yall i would really appreciate your help on this plz

Mathematics

1 answer:

Katarina [22]3 years ago

6 0

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side, hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

$sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2$

Therefore, the length of the opposite side (x), is 27.2

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Setler79 [48]

Answer:

Battle of Princeton and Battle of Trenton

Step-by-step explanation:

Importance of the Battles of Trenton and Princeton

The Continental Army basked in its achievements—at Princeton they had defeated a regular British army in the field. Moreover, Washington had shown that he could unite soldiers from all the colonies into an effective national force.

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3 years ago

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Which is an enequality

katen-ka-za [31]

Answer:

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2 years ago

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What fractions are equivalent to 11/13?

Ymorist [56]

Solutions

To find Fraction equivalent to 11/13 you have to multiply.

11 x 2 =22 ⇒ 23/26
13 x 2= 26

11 x 3 = 33 ⇒ 33/39
13 x 3= 39

11 x 4 = 44 ⇒ 44/52
13 x 4= 52

11 x 5 = 55 ⇒ 55/65
13 x 5= 65

11 x 6= 66 ⇒ 66/78
13 x 6= 78

11 x 7 = 77 ⇒ 77/91
13 x 7= 91

11 x 8 = 88 ⇒ 88/104
13 x 8= 104

11 x 9 = 99 ⇒ 99/117
13 x 9= 117

11 x 10 = 110 ⇒ 110/130
13 x 10= 130

Here are 10 equivalent fractions to 11/13
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3 years ago

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How do you find the slope.and y-intercept of y= 1/3-2

NikAS [45]

Answer:

The slope in that equation is 1/3 so you would go up on the coordinate plane one, and over three. The y intercept, is 2. Any linear equation in slope intercept form, y=mx+b, will be set up that way, so hopefully this helps, it's the easiest way to find the slope and y intercept, m is always the slope, and b is always the y intercept. :)

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3 years ago

Solve each quadratic equation by completing the square. Give exact answers--no decimals.

denis-greek [22]

Answer:

$x_1 = \frac{3}{2} + \frac{1}{2}(\sqrt{47})i\\\\x_2 = \frac{3}{2} - \frac{1}{2}(\sqrt{47})i\\\\$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$x ^ 2 -3x +14 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 1$ .

Then we go directly to step 2

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is -3. Then, divide by 2 and the result squared it.

We have:

$\frac{-3}{2} = -\frac{3}{2}\\\\(-\frac{3}{2}) ^ 2 = (\frac{9}{4})$

3. Add the term obtained in the previous step on both sides of equality:

$x ^ 2 -3x + (\frac{9}{4}) = -14 + (\frac{9}{4})$

4. Factor the resulting expression, and you will get:

$(x -\frac{3}{2}) ^ 2 = -(\frac{47}{4})$

Now solve the equation:

Note that the term $(x -\frac{3}{2}) ^ 2$ is always > 0 therefore it can not be equal to $-(\frac{47}{4})$

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$(x -\frac{3}{2}) ^ 2 = -(\frac{47}{4})\\\\x -\frac{3}{2} = \±\sqrt{-(\frac{47}{4})}\\\\x = \frac{3}{2} \±\frac{1}{2}\sqrt{-47}\\\\x = \frac{3}{2} \±\frac{1}{2}(\sqrt{47})i\\\\x_1 = \frac{3}{2} + \frac{1}{2}(\sqrt{47})i\\\\x_2 = \frac{3}{2} - \frac{1}{2}(\sqrt{47})i\\\\$

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3 years ago

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