OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD

Answer:

[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]

[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]

Step-by-step explanation:

1) Solve for 2x - y = 9

A. Solve for y.

2x - y = 9

B. Subtract 2x from both sides.

-y = 9 - 2x

C. Multiply both sides by -1.

y = -9 + 2x

D. Regroup terms.

y = 2x - 9

2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16

A. Start with the original equation.

4x² + 3y² - 2x + y = 16

B. Let y = 2x - 9.

4x² + 3(2x - 9)² - 2x + 2x - 9 = 16

C. Simplify.

16x² - 108x + 234 = 16

3) Solve for x in 16x² - 108x + 234 = 16

A. Solve for x.

16x² - 108x + 234 -= 16

B. Move all terms to one side.

16x² - 108x + 234 - 16 = 0

C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218

16 x² - 108x + 218 = 0

D. Use the Quadratic Formula.

[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]

E. Simplify solutions.

[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]

4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.

1) Start with the original equation.

y = 2x - 9

2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]

[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]

3) Simplify

[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]

In other words, everything but point R.

============================================================

Explanation:

The term "collinear" means "points that fall on the same straight line". Any two points are always guaranteed to be collinear; however the same can't be said for any 3 random points.

In this case, points P, Q and S are all on the vertical y axis which is why they are collinear.

The graph is shown below.

Answer:

  44.5 km on a bearing of 134.1°

Step-by-step explanation:

A suitable vector calculator will tell you the location of the ship from port is ...

  21∠32° +45∠287° = 44.5∠-45.9°

The bearing of the port is in the reverse direction, so 180° added to this:

  180° +(-45.9°) = 134.1°

The distance from port is 44.5 km. The bearing of the port is 134.1°.

_____

Additional comment

The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...

  c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83

  ≈ 44.5 km

The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.

  B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°

so, the bearing angle from the ship to the port is ...

  180° +(32° -77.9°) = 134.1°

__

Bearings are measured clockwise from north. A diagram can be helpful.

Answer:

y = 16

Step-by-step explanation:

11y = 2(24 + 4y)

11y = 48 + 8y

3y = 48

   y = 16

Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

Anything below 1 is a reduce

Anything above 1 is an enlarge

Anything equal to 1 is a preserve

1. Reduce, 0.75 < 1

2. Reduce,  4/5 < 1

3. Enlarge,  4.2 > 1

4. Preserve, 8/8 = 1

5. Enlarge, 7/2 > 1

6. Preserve, 1 = 1

7. Reduce, 0.1 < 1

8. Enlarge, 1 2/3 > 1

9. Enlarge, 12 > 1

-Chetan K

Answer:

91°

Step-by-step explanation:

The angles are consecutive interior angles (CIA) which add up to 180°.

180 - 89 = 91

Answer:

4.38, aka 219/50

Step-by-step explanation:

Answer:

Or is separate

And is together

Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

To learn more about  factors, please check: https://brainly.com/question/26073850

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

The frequency of a variable value is the number of times it appears in a particular observational series or data.

A variable's frequency is always a positive integer.

Here the heights in the condition of 5 < h ≤  10 appear as 4.

Here the heights in the condition of 10 < h ≤ 15 appear as 6.

Here the heights in the condition of 15 < h ≤ 20 appear as 5.

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

Thus, the required frequency table of the given observation is above.

Learn more about the frequency of an observation here:

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Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions

Step-by-step explanation:

brainliest me

Answer:

{0,9,2,-3}

Step-by-step explanation:

the range is all the ys.

these are all in the format (x, y)

Hope this helps.

PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.

The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

First, we have to find the price for each ounce.

So for the 10-ounce box:

⇒ 2.12 / 10

Apply the division operation,

⇒ $0.212 per ounce.

Now for the 14-ounce box:

⇒ 2.74/ 14

Apply the division operation,

⇒ $0.19 per ounce.

Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21

Therefore, the 14-ounce box is cheaper at a cost of $2.74.

To learn more about the division operation click here :

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Answer:

Should be

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.

Answer:

7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.

8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.

Answer:

Step-by-step explanation:

please help me 8x-3+4x+3​

8x - 3 + 4x + 3​ =

8x + 4x  - 3 + 3 =

12x

Answer:

12x

Step-by-step explanation:

1. To simplify this expression, we must group like terms.

Therefore, the answer is 12x.

Answer:

40, 60, 80

Step-by-step explanation:

angles are 40, 3x, 4x

40+ 3x + 4x = 180

40 + 7x = 180

7x = 180 - 40

7x = 140

x = 20

so the angles are 40, 60, 80

Answer:

y=20x+35

Step-by-step explanation:

if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.

Two or more expressions with an Equal sign is called as Equation.

Given that

a plumber who is just starting out offers low rates to attract new customers

Plumber charges $35 to visit a client's home, plus an additional $20 per hour.

Let the charges per hour be denoted by x.

and it is given that y is cost of a visit.

We are required to write equation for cost of a visit y.

y equal to twenty x plus thirty five.

y=20x+35

Hence if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.

To learn more on Equation:

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Answer:

[tex]x=-1.52,2.19[/tex]

Step-by-step explanation:

Hi there!

[tex]3x^2 - 2x - 10 = 0[/tex]

Use the quadratic formula:

[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]

Plug in the a, b and c values

[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]

I hope this helps!

Answer:

B. 4

Step-by-step explanation:

We as we see this question is quite simple

first we find the vocabulary which is in simple text slang and convert it formally to english...

Next we find that this question makes no sense so g'day

Answer:

17

Step-by-step explanation:

g(7) = 2(7) +3

substitution

See drawing attached below.

Corresponding angles and sides are congruent to each other. Thus,

∠L corresponds to ∠H

∠J corresponds to ∠P

HU corresponds to LO

PO corresponds to JU

LP corresponds to HJ

∠U corresponds to ∠O

Answer:

thanks for the points bye bye for now love u fin and I will

Answer:

Step-by-step explanation:

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

I'm not sure what kind of response this question is seeking.  I can only write:

1.) The graph of y = -7x - 10 is a linear equation that shows the  ?  slope and y-intercept to the equation

I don't think these are the answer sought, but it's the best I can think of at the moment.

2.) find the slope a y-intercept of y=(-7x)-10

The slope is -7 and the y-intercept is -10.

Answer:

19.2

Step-by-step explanation:

You have to trust me, this answer is correct. But here's my solution:

With the formula

Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.

But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.

So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.  

Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.

Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2

DUBS

(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)

Answer:

D - Two.

Step-by-step explanation:I took the test and this was the correct answer.