Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
all angle measures to the nearest whole degree.

Answer:

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Required

Solve, in terms of i

We have:

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Solve the expressions in bracket

[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]

[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]

Express -4 as 4 * -1

[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]

Split

[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]

In complex numbers;

[tex]i = \sqrt{-1[/tex]

So, we have:

[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]

[tex]x = \frac{6 \± 2i}{2}[/tex]

Factorize

[tex]x = \frac{2(3 \± i)}{2}[/tex]

[tex]x = 3 \± i[/tex]

Split

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

Answer:

the answer is A

Step-by-step explanation:

its because -4 is the coldest and 3 is the warmest out of the rest

Answer:

U'(3,-4) T'(-1,-2) S'(2,0)

Step-by-step explanation:

Firstly, we need the general rotation method

We have this as;

(x,y) to (-y,x)

So;

U (-4,-3) becomes U’ (3,-4)

T(-2,1) becomes T’(-1,-2)

S(0,-2) becomes S’ (2,0)

120 is the correct answer

Answer:

120

Step-by-step explanation:

The ! denotes a factorial, 5! is simply:

5 * 4 * 3 * 2 * 1 = 120

The area of the sector that is not shaded is 120π units²

Option C is the correct answer

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

The circle has 360°.

This can be written as,

Area = πr² x 360/360

Now,

The area of the not-shaded part has (360 - 60)°

So,

Area = πr² x 300/360

Now,

r = 12 units

Area = π x 12 x 12 x 300/360

Area = 120π units²

Thus,

The area of the sector that is not shaded is 120π units²

Learn more about circle here:

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Step-by-step explanation:

arrangement in ascending order

6,9,10,12,13,14,18,19,20,25

n = 10

median = 10 + 1 )/2 = 5.5 item =( 13 + 14 )/2 = 13.5

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

Step-by-step explanation:

m3= 29%

m6= 35%

m7= 90%

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

Answer:

O B. (2x+3)(x + 4)

Step-by-step explanation:

[tex]2x^{2} +11x+12[/tex]

[tex]2x^{2} +8x+3x+12[/tex]

[tex]2x(x+4)+3(x+4)[/tex]

[tex](2x+3)(x+4)[/tex]

Answer: B

Step-by-step explanation:

Answer:

do you have a picture or something So I can answer your question?

Step-by-step explanation:

Option-A is accurate because f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9 are the values we get when solving the function.

A function receives values, performs certain operations on them, and outputs a result. After acting and concurring with the result, the inverse function switches back to the original function.

The inverse function, which also returns the initial value, returns the result of a function.

this selection. Option-A is the proper choice, so

f(x)=9(x/2)-8

consider the f(x)=y

y=9(x/2)-8

y+8=9(x/2)

(y+8)/9=x/2

2(y+8)/9=x

g(x)=2(x+8)/9

As a result, Option-A, which states that when the function is solved, the output is the inverse function, is correct. Its values are f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9.

To know more about inverse function check:

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Answer: SOLN,

let,<FHC be x

<GHC+<FHC( sum of  angle of triangle=180 degree

 x+6m+55+8m+55=180

 x+ 14m+110=180

  x+14m=180-110

  x+14m=70

    x=70 divied by 14m  

     x=5m

therefore,the value of <FHC is 5m.      

Answer:

Width = 13

Equation: 2 × 29 + 2W = 84

Step-by-step explanation:

Ace here!

I'm going to assume that we have to find the width. In a rectangle, there are 4 sides and opposite sides are congruent.

Let L represent the length and W represent the width.

Since there are 4 sides, we know that to find the of a rectangle perimeter, we have to do:

L+L+W+W=Perimeter

Let's first simplify this equation by combining like terms:

2L+2W = Perimeter

Now, let's plug in known values:

2(29) + 2W = 84

Divide everything by 2:

29+W=42

Isolate W:

W=42-29

W=13

Keep in mind, I didn't have to divide by 2 at the step that I had. I could've also done this:

2(29) + 2W = 84

Simplify:

58+2W=84

Bring everything to one side:

2W=26

Isolate W by dividing 2:

W=13

Two different slightly approaches, same answer.

I hope that helped, let me know if you have any questions.

[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

c. 2.5

Step-by-step explanation:

4×2.5 => 10

6×2.5 => 15

so scale factor = 2.5

Answer:

b

Step-by-step explanation:

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Answer:

The approximate probability that she checked a social website first and then a school-related website is 0.267.

Step-by-step explanation:

Given that a student wants to check six websites, and four of the websites are social and two are school-related, and after checking just two sites, she has to leave for school, to determine what is the approximate probability that she checked a social website first, then a school-related website, the following calculation should be performed:

4/6 x 2/5 = X

0.26666666 = X

Therefore, the approximate probability that she checked a social website first and then a school-related website is 0.267.

Answer:

B. 0.267    The guy above me is correct!

Step-by-step explanation:

Edge 2021  Got a 100% on the test

Answer:

3.349 • 10²

I moved the decimal over 2 spots to the left.

Answer:

[tex]b=\frac{4c-a^{2} }{3}[/tex]

Step-by-step explanation:

First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division

Then, you have [tex]4c=a^{2} +3b[/tex]

Subtract both sides by a squared

DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition

From that you get [tex]4c-a^{2} =3b[/tex]

Finally, divide both sides by 3.

You get  [tex]b=\frac{4c-a^{2} }{3}[/tex]

Answer:

2.4 miles

Step-by-step explanation:

Answer:

1) corresponding

3)corresponding,

5)alternate interior

Step-by-step explanation:

Answer:

1 ticket is worth 1.2$

90$ gets you 75 tickets

Step-by-step explanation:

t=ticket(s)

6=5t

6/5=t

90/(1.2)=75

Answer:

1 ticket = $1.2

Step-by-step explanation:

Answer:

h (x) = 5

h (x) = 2x + 1

h (x) = 2 x 2 + 1 = 5

x = 2

Answer:

x = 2

Step-by-step explanation:

Its given that h(x) = 2x + 1

But its also given that h(x) = 5

[tex]=> h(x) = 2x + 1 = 5[/tex]

[tex]=> 2x + 1 = 5[/tex]

Solve the equation.

[tex]=> 2x + 1 - 1 = 5 - 1[/tex]

[tex]=> 2x = 4[/tex]

[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]

[tex]=> x = 2[/tex]