Which expression represents the measure of segment RS

Step-by-step explanation:

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Answer:

Theta = 37.9 degrees

AC = 11.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan theta = 7/9

tan ^ -1 tan theta = tan ^-1 (7/9)

theta =37.87498

To 1 decimal place

Theta = 37.9 degrees

We use the Pythagorean theorem to find AC

a^2 + b^2 = c^2

7^2 + 9^2 = AC^2

49+81 = AC^2

130 = AC^2

Taking the square root of each side

sqrt(130) = sqrt(AC^2)

AC = 11.40175

Rounding to 1 decimal place

AC = 11.4

Answer:

8n-2 = 6n+9

2n-2 = 9

2n = 11

n = 5.5

So C is correct

Let me know if this helps!

To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.

A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.

Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.

For example, if we pick x = -3, then,

y= -x^2 -4x -3

y= -(-3)^2 -4(-3) -3

y = -9 - 4(-3) - 3

y = -9 + 12 - 3

y = 0

This indicates that (-3, 0) is one point on the curve.

Let's repeat for x = -2

y= -x^2 -4x -3

y= -(-2)^2 -4(-2) -3

y = -4 - 4(-2) - 3

y = -4 + 8 - 3

y = 1

So (-2, 1) is another point on the curve.

Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.

I used GeoGebra to make the graph.

Answer:

36900

Step-by-step explanation:

It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900

Answer:

36,900

Step-by-step explanation:

First do 600 times 60=36,000

Next add 900

36,000+900=36,900

theres your answer :)

Answer:

19 of 95% grades

Step-by-step explanation:

90= (0+95(x-1))/x

90x=0+95(x-1)

90x=95(x-1)

90x=95x-95

90x-95x=-95

-5x=-95

x=-95/-5

x=19

Answer:

Step-by-step explanation: 10 meters/3 meters =x/4.5 meters

Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high

3x = 10 (4.5)

3x = 45

X= 45/3

X= 15 meters

So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.

Answer:   (x, y) = (6, 1)

This means x = 6 and y = 1

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Explanation:

I'll use the substitution method to solve this system.

Let's solve the second equation for x

x-2y = 4

x = 4+2y

Then plug that into the first equation so we can solve for y.

3x - 2y = 16

3(4+2y) - 2y = 16 ... x replaced with 4+2y

12+6y - 2y = 16

12 + 4y = 16

4y = 16-12

4y = 4

y = 4/4

y = 1

Lastly, use this y value to find x

x = 4 + 2y

x = 4 + 2(1)

x = 6

The solution as an ordered pair is (x, y) = (6, 1)

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

Checking the answer:

Plug those x,y coordinates into the first equation

3x - 2y = 16

3(6) - 2(1) = 16

18 - 2 = 16

16 = 16

That confirms the first equation. Repeat for the second equation

x - 2y = 4

6 - 2(1) = 4

6 - 2 = 4

4 = 4

Both equations are confirmed.

Answer:

Click on the link below to view the answer with the explanation in futher detail

Explanation:

Click the attached link to view the answer

Answer:

a) a=-12

b) a=27

Step-by-step explanation:

a) parallel lines have = slopes SO

-3/2 = -3/2

-3/2 = 18/a

-3a/2 = 18

-3a = 18 * 2 = 36

a = -12

b) perpendicular lines have negative inverse slopes SO

- 3/2 ---> 2/3

2/3 = 18/a

2a/3 = 18

2a = 18 * 3 = 54

a = 54/2 = 27

Answer:

6 feet to 10 inches

6 ft : 10 inches

There are 12 inches in a foot, so we have:

72 inches : 10 inches

36 inches : 5 inches

36:5

So the ratio is 36/5

Let me know if this helps!

Answer:

Y = 8 + 2d

Step-by-step explanation:

Y = 8 + 2d where d is miles traveled

Answer:

y = 2d + 8

Brainliest, please!

Step-by-step explanation:

y = mx + b

m = slope, b = y-intercept

The flat rate of $8 is the y-intercept, and the slope is $2.

y = 2x + 8

We can change x to d to match the context of this problem.

y = 2d + 8

Answer:

x^8

Step-by-step explanation:

(x^2)^{4}

We know a^b^c = a^(b*c)

x^(2*4)

x^8

Answer:

x^8 <33

Step-by-step explanation:

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

Answer:

3(5+x)

Step-by-step explanation:

15+3x

5*3 + 3*x

Factor out 3

3(5+x)

Answer:

-(1/(x+h-3)(x-3))

Step-by-step explanation:

y=1/(x-3)

(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))

Answer:

yes but something like that

Answer:

5

Step-by-step explanation:

We know that

[tex]x + y = 3[/tex]

and

[tex]xy = 2[/tex]

Solve for x in first variable

[tex]x = 3 - y[/tex]

Substitute this into second equation

[tex](3 - y)y = 2[/tex]

[tex] - {y}^{2} + 3y - 2[/tex]

Simplify

[tex] {y}^{2} - 3y + 2[/tex]

[tex](y - 1)(y - 2)[/tex]

[tex]y = 1[/tex]

[tex]y = 2[/tex]

So x or y can be

[tex]x = 1 \: \: y = 2[/tex]

or

[tex]x = 2 \: \: \: y = 1[/tex]

So we need to find x^2 and y^2.

[tex] {2}^{2} + {1}^{2} = 5[/tex]

Answer:

y = (-x-1)/2

Step-by-step explanation:

x1 = -3

y1 = 1

x2 = -1

y2 = 0

now

m = rise/run = (y2-y1)/(x2-x1) = (0-1)/(-1+3) = -1/2

so

y = mx + b

0 = -1/2(-1) + b

or, 0 = 1/2 + b

or, 0-1/2 = b

so, b = -1/2

so

y = mx + b

y = -x /2+ -1/2

or, y = (-x-1)/2

Answer:

900°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]

Given that:

[tex]Z_1 = 1 + 3i[/tex]

[tex]Z_2 = 4 + 5i[/tex]

Since O is the origin, then:

[tex]C = OA + OB[/tex]

This means that:

[tex]Z_3 = Z_1 + Z_2[/tex]

So, we have:

[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]

Collect like terms

[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]

[tex]Z_3 = 5+ 8i[/tex]

Hence, complex number Z3 is [tex]5+ 8i[/tex]

Read more about complex numbers at:

https://brainly.com/question/18509723

Answer:

I didn't understand your language bro its OPT question is wrong

Step-by-step explanation:

Actually ooo √3 is root

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Answer:

-2 + 2i

Step-by-step explanation:

[tex](1 + i)^{3}[/tex]

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

[tex](1 + \sqrt{-1})^3[/tex]

[tex][(1 + \sqrt{-1})(1 + \sqrt{-1})] (1 + \sqrt{-1})[/tex]

distribute the first 2 expressions

(1 + 2[tex]\sqrt{-1}[/tex] - 1 ) [tex](1 + \sqrt{-1})[/tex]

distribute

1 + 2[tex]\sqrt{-1}[/tex] - 1 +

combine like terms

-2 + 2 [tex]\sqrt{-1}[/tex]

which is -2 + 2i

Answer:

600

Step-by-step explanation:

Volume of cuboid = l x w x h

length = 12

width = 10

height = 5

12 x 10 x 5 = 600 yd^3

answered by g a u t h m a t h

Answer: Choice B

Open circle at 3. Shading to the right

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

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

And=2025 students gave 10125 rs

just divide it by 5hope it helps...pls mark me brainliest

Answer: b = 4

Step-by-step explanation:

Given

4b + 5 = 1 + 5b

Subtract 4b on both sides

4b + 5 - 4b = 1 + 5b - 4b

5 = 1 + b

Subtract 1 on both sides

5 - 1 = 1 + b - 1

[tex]\boxed{b=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

$1326

Step-by-step explanation:

please mark as brainlyest