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3 years ago

Solve for x ???????????

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)? The angle is 21 degrees.

This is a perfect application of the tangent function:

tan 21 deg = opp / adj = opp / 22 = x / 22

tan 21 deg = 0.384 so x would be 22 tan 21 deg, or
x = 22*(0.384)
= 8.45 (answer)

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y {-2, 1} {-2, 3} {}

vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

$\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}$

Make the fractions have a common denominator.

$\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}$

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

$2y^2-y+12=3y^2+10$

Now, set the equation equal to zero and factor.

$2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1$

The y-values are {-2, 1}

6 0

2 years ago

Although retirement is far in your future, it is important to start planning early.

nydimaria [60]

Answer: I would say true.

explanation: Because planning on where you want to work you’ll want to see all the benefits and things you’ll be getting into.

3 0

2 years ago

Read 2 more answers

If c=8, what is the value of 4c+(4-3)

kvv77 [185]

The answer is 33

Explanation
4c+(4-3)
C=8
Substitution
4x8+4-3
Calculate
4x8+4-3
32+4-3
Which equal 33 that’s how I got the answer

3 0

2 years ago

Read 2 more answers

Which gives the correct values for points A, B, C, and D?

saveliy_v [14]

Answer:

The correct answer is: A

Step-by-step explanation:

Points on a Numeric Line

The numeric line shown in the figure has four points A, B, C, and D. It's clear that each marked division of the line has a value of 1/4 units and all four points are below the reference zero, thus all are negative.

Point A is clearly on the -2 mark, thus

A=-2

Point B is one mark above A, thus it's located at:

$B=-2+\frac{1}{4}=-\frac{7}{4}=-1\frac{3}{4}$

$B=-1\frac{3}{4}$

Point C is one mark below -1, thus:

$C=-1-\frac{1}{4}=-1\frac{1}{4}$

Finally, point D is one mark below 0:

$D=-\frac{1}{4}$

The correct answer is: A

5 0

2 years ago

I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago