The length of which line segment is equal to the exact value of the sine if theta?

Option 3: line segment OR
Option 4: line segment OS​

Answer: 58 adults and 38 children went to the concert.

Step-by-step explanation:

Let x= adults , y= children

As per given ,

x+y = 96  (i)

3.75x+3.50y = 350.50     (ii)

Multiply 3.75 to (i) , we get

3.75 x + 3.75y  = 360  (iii)

Eliminate (ii) from (iii)

[tex]3.75 y-3.50y= 360-350.50\\\\\Rightarrow\ 0.25y= 9.5\\\\\Rightarrow\ y=\dfrac{9.5}{0.25}\\\\\Rightarrow\ y= 38[/tex]

put this in (i) ,  x+38 = 96

x= 96-38 = 58

So, 58 adults and 38 children went to the concert.

Answer:

Step-by-step explanation:

Simplifying

6x + -3 = (3x + -2)

Reorder the terms:

-3 + 6x = (3x + -2)

Reorder the terms:

-3 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)

-3 + 6x = -2 + 3x

Solving

-3 + 6x = -2 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = -2 + 0

-3 + 3x = -2

Add '3' to each side of the equation.

-3 + 3 + 3x = -2 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = -2 + 3

3x = -2 + 3

Combine like terms: -2 + 3 = 1

3x = 1

Divide each side by '3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Answer:

QS = 38

Step-by-step explanation:

First, we need to find the value of x.

Given that R is the midpoint of Q and S, that means QR = RS.

6x-11 = 2x+9

Solve.

x = 5.

To find QS, we need to solve the following equation:

6x-11 + 2x+9

Substitute 5 for x.

6(5)-11+2(5)+9

30-11+10+9

38

Answer:

the required ratio which forms proportion with 16/20 is D.) 4/5

Step-by-step explanation:

when you will simplify the ratio you will get

4/5

Step-by-step explanation:

672+6=......+97

[tex]672 + 6 = x + 97 \\ x = 672 + 6 - 97 \\ x = 581[/tex]

none of the options.

Hope that was helpful.

Answer:

A. shawn added 4 to both sides of the equation instead of subracting 4

Answer:

ooh this hard um...

Step-by-step explanation:

isn't that impossible?

Answer:

-4 and -1

Step-by-step explanation:

Answer:

1. [tex]f(x) = 6x + 14[/tex]

2. $14 flat fee

Step-by-step explanation:

In this case, [tex]f(x)[/tex] where [tex]x[/tex] is time (hour). $14 dollar stays constant when [tex]x = 0[/tex]. This is the flat rate fee.

Let's do a sanity check:

[tex]f(1) = 6(1) + 14 = 20[/tex]

[tex]f(1.5) = 3(1.5) + 14 = 23[/tex]

[tex]f(2) = 6(2) + 14 = 26[/tex]

Looks like A. is the answer.

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

.........,.............

Given: (a) [tex]2(x+3)=2x+6[/tex] and (b) [tex]4(y-3)=4y-12[/tex].

To find: The expanded form of the given expressions.

(c) [tex]4(m+n)=4m+4n[/tex]       (using [tex]a(b+c)=ab+ac[/tex])

(d) [tex]3(5-q)=15-3q[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(e) [tex]5(2c+1)=10c+5[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(f) [tex]3(2x-5)=6x-15[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(g) [tex]7(4b-1)=28b-7[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(h) [tex]3(2x+y-5)=3((2x+y)-5)[/tex]

⇒[tex]3(2x+y-5)=3(2x+y)-15[/tex]         (using [tex]a(b-c)=ab-ac[/tex])

⇒[tex]3(2x+y-5)=6x+3y-15[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(i) [tex]2(6a-4b+3)=2((6a-4b)+3)[/tex]

⇒[tex]2(6a-4b+3)=2(6a-4b)+6[/tex]         (using [tex]a(b+c)=ab+ac[/tex])

⇒[tex]2(6a-4b+3)=12a-8b+6[/tex]            (using [tex]a(b-c)=ab-ac[/tex])

(j)[tex]6(m+n+p)=6((m+n)+p)[/tex]

⇒ [tex]6(m+n+p)=6(m+n)+6p[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

⇒ [tex]6(m+n+p)=6m+6n+6p[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(k) [tex]y(y+2)=y^2+2y[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(l) [tex]g(g-3)=g^2-3g[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(m) [tex]n(4-n)=4n-n^2[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(n) [tex]a(b+c)=ab+ac[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

(o) [tex]s(3s-4)=3s^2-4s[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(p) [tex]2x(x+5)=2x^2+10x[/tex]     (using [tex]a(b+c)=ab+ac[/tex])

(q) [tex]4y(x-3)=4xy-12y[/tex]      (using [tex]a(b-c)=ab-ac[/tex])

(r) [tex]5a(2b-5)=10ab-25a[/tex]     (using [tex]a(b-c)=ab-ac[/tex])

(s) [tex]4a(3b+2c)=12ab+8ac[/tex]    (using [tex]a(b+c)=ab+ac[/tex])

(t) [tex]5p(4p-5q)=20p^2-25pq[/tex]    (using [tex]a(b-c)=ab-ac[/tex])

Answer:1668.84

Step-by-step explanation:

Answer:

1668.84  

Step-by-step explanation:

Answer:

Step-by-step explanation:

6

that would be -1 happy halloween

Answer:

4

Step-by-step explanation:

-5,-4,-3,-2,-1,0,1,2,3, 4

Answer:

x² - 10 = 71

that would be how the equation would be written out

Answer:

The sides of a central angle are two radii (aka radius) of the circle

Step-by-step explanation:

Answer:

Radii

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

[tex]180=31+90+x\\\\180=121+x\\x=180-121\\x=59[/tex]

using sum of angles in a triangle

Step-by-step explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

[tex] \tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}[/tex] { Sum of angles of a triangle }

⇢ [tex] \tt{x \degree + 121 \degree = 180 \degree}[/tex]

⇢ [tex] \tt{ \: x \degree = 180 \degree - 121 \degree}[/tex]

⇢ [tex] \tt{x \degree = 59 \degree}[/tex]

[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Ansl

Step-by-step explanatio

Answer:

B) -7

Step-by-step explanation:

9-4|(-5)+1|

9-4|-4|

9-4(4)

9-16= -7

I hope this helps!

어, 난 수학을 잘 못하고 좀 게 으르니까 미안해

Answer:

50

Step-by-step explanation:

if you dividde 24 by 20 you get 1.2 if you plug 1.2 into an inverse tangent calculator you get 50.19

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree is 50.19.

Trigonometric functions are the functions that include trigonometric identities such as sine, cosine, tangents, secant, and, cot.

Juan is looking up to the top of a tree that is 31 feet tall. He is standing 20 feet from the tree.

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree.

Tan Ф = perpendicular/ base

          = 24/ 20

Tan Ф  = 1.2

Ф  =[tex]( Tan )^{-1}1.2[/tex]

Ф  = 50.19

Learn more about trigonometric identities;

https://brainly.com/question/12655402

#SPJ2

Answer:

-1

Step-by-step explanation:

Turn into slope-intercept form.

x + y = 10

~Subtract x to both sides

y = 10 - x

~Reorder

y = -x + 10

We know that slope-intercept form is y = mx + b where m = slope and b = y-intercept. Thus, the slope is -1.

Best of Luck!

Answer: The fourth one

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent.

x : y

1 : 0.5

2 : 1

7 : 3.5

8 : 4

The unit ratio of this proportional relationship if x ratio y is 1 : 0.5

Hope this helped!

Answer:

proportional                                            

Answer:

Cant answer without the polygons.

Step-by-step explanation:

To answer this question, I would need to see polygon GHJK and GHJK prime on a graph.

Answer:

Step-by-step explanation:

first step

let's create the equation word problem

let's solve

let my mother's and sister's age be x and y respectively

according to the first condition,x=4y....(I)

according to the 2nd condition,x+5=2(y+5×2).....(ii)

so the system of linear equations is

x=4y

x+5=2(y+5×2)

gets from the second equation

x+5=2(y+10)

x+5=2y+20

4y+5=2y+20 (as x=4y)

2y=15

y=7.5

so the age of mother is

x=4.(7.5)

x=30

Answer:

given:- radius of the circle = 6 cm

to find:- circumference of the circle = ?

solution:- circumference of circle = 2πr^2

= 2x 22/7 (6)^2

= 2x 22/7 x 36

= 44/7 x 36

= 1584/7

= 226.3