Solve the equation: 2/3x+1/4=3

9514 1404 393

Answer:

  x ≈ 24.91

Step-by-step explanation:

It is helpful to remember the mnemonic SOH CAH TOA. It is intended to remind you that ...

  Sin = Opposite/Hypotenuse

You observe that the values are given in the figure for an acute angle in a right triangle, the hypotenuse, and the side opposite the angle. That is why you are interested in the sine relation.

  sin(49°) = x/33

  x = 33·sin(49°) ≈ 24.905

The length of side x is about 24.91 units.

___

You solve any geometry problem by making use of the relationships you know between the parts given in the problem statement.

Answer:

[tex]\frac{4}{3 - i} = \frac{6}{5} + \frac{2}{5}i[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{3 - i}[/tex]

See attachment for question

Required

Correct Ramon's error

Start by rationalizing the expression:

[tex]\frac{4}{3 - i} = \frac{4}{3 - i}*\frac{3 + i}{3 + i}[/tex]

[tex]\frac{4}{3 - i} = \frac{4(3 + i)}{(3 - i)(3 + i)}[/tex]

Expand

[tex]\frac{4}{3 - i} = \frac{12 + 4i}{3^2 - i^2}[/tex]

[tex]\frac{4}{3 - i} = \frac{12 + 4i}{9 - i^2}[/tex]

In complex numbers:

[tex]i^2 = -1[/tex]

So:

[tex]\frac{4}{3 - i} = \frac{12 + 4i}{9 - (-1)}[/tex]

[tex]\frac{4}{3 - i} = \frac{12 + 4i}{9 +1}[/tex]

[tex]\frac{4}{3 - i} = \frac{12 + 4i}{10}[/tex]

Split fraction

[tex]\frac{4}{3 - i} = \frac{12}{10} + \frac{4i}{10}[/tex]

[tex]\frac{4}{3 - i} = \frac{6}{5} + \frac{2}{5}i[/tex]

Step-by-step explanation:

kindly use English. i will hep

-3: y = -2 * (-3) - 7 = 6 - 7 = -1

0: y = -2 * 0 - 7 = -7

3: y = -2 * 3 - 7 = -6 - 7 = -13

6: y = -2 * 6 - 7 = -12 - 7 = =-19

Answer:

[tex]x^{2} +y^{2} =9[/tex]

Step-by-step explanation:

Step-by-step explanation:

Given

x = 3

Then

2x +1

= 2 * 3 + 1

= 6 + 1

= 7

Hope it will help :)

Answer:

The equation would be - x(15)-3=y

Step-by-step explanation:

It says X is being multiplied by 15 then after it was subtracted by 3. After you set it equal to Y and there is your equation.

Answer:

Step-by-step explanation:

you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰

In this triangle the hypotenuse, c, is

c=9[tex]\sqrt{2}[/tex]= 12.72

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

41

Step-by-step explanation:

Step-by-step explanation:

10 + (5×3) -2(-8)

Do ×/÷ before +/- but if it has () do the number in () before

10 + 15 + 16

= 41

Answer:

x=139

Step-by-step explanation:

x and 139 are alternate exterior angles. Since a transversal passes through lines m and n, They are congruent using the alt. interior angle theorem.

so x=139

Answer:

8/9

Step-by-step explanation:

8 numerator

______________

9 denominator

Answer:

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

Answer:

1. I don't know how to solve that sorry :(

2. B. It is a diameter

3. 30° = q

4. I don't know sorry :(

Step-by-step explanation:

1. I don't know how to solve that sorry :(

-----------------------------------------------------------

2. B. It is a diameter

------------------------------------

3. All triangles = 180°

180° = 60° + 90° + q

180° = 150° + q

180° - 150° = 150° - 150° + q

30° = q

180° = 60° + 90° + 30°

180° = 150° + 30°

180° = 180°

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4. I don't know sorry :(

Answer:

Step-by-step explanation:

Answer: tp and rq

Step-by-step explanation:

Answer:

The ratio of the number of rotten apples to the total number of apples is 6:35

The ratio of the number of good apples to the number of rotten apples is 35:6

Step-by-step explanation:

If you look at the wording the orders are switched.

Rotten apples: Good apples

Good apples: Rotten apples

Answer:

              11x+23

y=    -    --------------

                  10

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

We're gonna have a problem here

Y'all act like you never seen a white person before

Jaws all on the floor like Pam like Tommy just burst in the door

Answer:

divided by 2.3 plzz fastdivided by 2.3 plzz fast

divided by 2.3 plzz fast

Step-by-step explanation:

divided by 2.3 plzz fast

divided by 2.3 plzz fast

divided by 2.3 plzz fast

divided by 2.3 plzz fastdivided by 2.3 plzz fast

Step-by-step explanation:

area of a rectangle = length x breath

2i) A= lxb

=7.5×2.5 = 18.75 m

2ii) 350cm= 3.5m

120cm = 1.2m

A= lx b

=3.5x1.2

=4.2m

(I think)

Answer:

f(x) = -7(x-5)^2 +5

f(-1) = -7(-1-5)^2 +5

f(-1) = -7(-6)^2+5

f(-1) = -7(36)+5

f(-1) = -252+5

f(-1) = -247

Let me know if this helps!

Answer:

-247

Step-by-step explanation:

f(-1) = -7((-1)-5)^2

7⁴

7 to the fourth power

7•7•7•7

These have the same value.

7^4 is the right ....... . . . . . . . . . .

Answer:

65

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

Answer:

76

Step-by-step explanation:

convert 12⅓ to sixths, or keep change flip

1.turn 12⅓ into a improper fractction

2. 38/3

3. 38/3÷1/6 - keep 38/3

4. 38/3 × 1/6 - change the division sign to a multiplication sign

5. 38/3 × 6 - flip ⅙ to 6

6.228/3 - simplify

answer: 76

Answer:

He must pay $129.45 and the total amount due is $3,629.45.

Step-by-step explanation:

I (interest) =P (principal) x R (rate) x T (time)

I=3500x.09x150/365

I=129.45

A (amount due) = P (principal) + I (interest)

A= 3500 + 129.45

A= $3629.45

Answer:

x = 22 degrees

Step-by-step explanation:

Since this is a right angle and both angles added together will equal to 90degrees this means that:

(3x-5) + (x+7) = 90

(first, remove the brackets)

3x-5+x+7 = 90

( add the numbers together and the term x together)

( 3x+x ) + ( -5+7 ) = 90

4x + 2 = 90

(subtract 2 from both sides)

4x = 88

(divide by 4 from both sides)

x = 22

so the measure of x = 22 degrees