A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?

Hello!

This question is about relating vertical angles and their arc lengths.

Vertical angles have equal angle measures, meaning that they will also have the same arc measure.

We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.

That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.

A circle is 360 degrees, meaning that we can make the following equation,

[tex]360=QR+UT+125+125[/tex]

[tex]QR+UT+250=360[/tex]

[tex]QR+UT=110[/tex]

Since QR = UT

[tex]QR/UT=55[/tex]

Now, we can solve for arc URT using all the arc measures we have.

[tex]URT=125+55+125[/tex]

[tex]URT=305[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Jrkrkr

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

Answer:

It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.

Step-by-step explanation:

From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.

The point intersection (4, 270) represents the time and distance Roy and Travis met

The graph above are linear graph.

Linear graph are straight line graph.

Therefore,

d represents a distance in miles from Dallas

h represents the hours travelled

Roy is leaving for Pecos while Travis is in Pecos ready to leave for Dallas.

Therefore, the point intersection (4, 270) represents the time and distance Roy and Travis met.

learn more on linear graph here:https://brainly.com/question/1328896

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Answer:

I believe the answer is 1/12

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer:

[tex] \frac{1}{12} \: cubic \: foot[/tex]

Step-by-step explanation:

[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]

Answer:

He is 62.72 inches tall now

Step-by-step explanation:

the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

Answer:

vanilla,cone

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use slope formula:

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

Answer:

12x-20

Step-by-step explanation:

f(x)=6x-8

3f(x)=3(6x-8)

3f(x)=18x-24

g(x)=-3x+2

2g(x)= -6x+4

3f(x)+3g(x)=(18x-24)+(-6x+4)

=18x-24-6x+4

=12x-20

9514 1404 393

Answer:

  B) ΔCAT is congruent to ΔDOG

Step-by-step explanation:

If angles are congruent, the triangles are similar. When both corresponding angles and corresponding sides are congruent, the triangles are congruent.

  ΔCAT is congruent to ΔDOG

Answer:

Test statistic = 1.1508

Step-by-step explanation:

Given the data provided

We have to make a table and find d and d²

From the calculations I did in the attachment

n = 5

d² = 1.81

d = 1.5

The t test statistic = 1.5/1.3038 = 1.1505

B. No the new stadium may not have caused the attendance t decrease in this case. Other factors could be responsible for the low attendance.

Step-by-step explanation:

11/8 if I'm not wrong

...

Answer:

fgiigdyh

Step-by-step explanation:

Answer:

D 15

Step-by-step explanation:

[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]

Answer:

Step-by-step explanation:

p(A) = a^3 + 3a^2 + 9a + 27

put brackets around the 1st and second terms and another set around the 3rd and 4th

P(a)= (a^3 + 3a^2) + (9a + 27)

Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.

P(a) = a^2 ( a + 3) + 9(a + 3)

Let a + 3 = x

P(a) = a^2x + 9x

Put brackets around these 2 terms

P(a)= x(a^2 + 9)

Substitute a + 3 for x

P(a) = (a + 3) ( a^2 + 9)

Answer:

408.2sq inches

Step-by-step explanation:

Area of the cylindrical box = 2πr(r+h)

r is the radius  = diameter/2

r = 10/2 = 5in

h is the height = 8in

Substitute

Area of the cylindrical box  = 2(3.14)(5)(5+8)

Area of the cylindrical box = 2 * 3.14 * 5 * 13

Area of the cylindrical box  = 408.2sq inches

Answer:

[tex]A = \frac{r}{2}C[/tex]

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

[tex]C = 2\pi r[/tex]

Area is calculated as:

[tex]A = \pi r^2[/tex]

The area can be rewritten as:

[tex]A = \frac{2\pi r^2}{2}[/tex]

Further rewrite as:

[tex]A = \frac{r}{2}*2\pi r[/tex]

Recall that:[tex]C = 2\pi r[/tex]

So, the expression becomes

[tex]A = \frac{r}{2}*C[/tex]

[tex]A = \frac{r}{2}C[/tex]

Answer:

12.7

Step-by-step explanation:

Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).

Answer:

26 boxes of raisin bars

Step-by-step explanation:

Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.

1152-528=624 ➗ 24 = 26

Answer:1 yard = 36 inches

48 X 36 = 1728 inches

Answer:

exponential decay

Step-by-step explanation:

the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..

yes the fraction of .70 is 7/10

Answer:

Yes

Step-by-step explanation:

0.70 = 7/10

Answer:

You have to do 7x+2+6x+9 Which is 13x+11.

Step-by-step explanation:

Answer: 150 degrees

Step-by-step explanation:

Answer:

149°F

Step-by-step explanation:

The Celsius measure is 65° . We know the relation between Celsius and Farenheight as ,

⇒ C/5 = F-32/89

⇒ 65/5 = F-32/9

⇒ 13 = F-32 / 9

⇒ F - 32 = 13 × 9

⇒ F = 117 + 32

⇒ F = 149 °F

Answer:

sin ( 330 ) − 4 cot( − 45 ) csc ( 60 )

Step-by-step explanation: