Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.

A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.

The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.

And half a side length of the equilateral triangle is 6√3 units.

The apothem (x) is units long and the radius of the circle will be

x² = (9√3)² - (6√3)²

x² = 243 - 108

x² = 135

 x = 11.62

And the radius of the circle will be

[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]

Each segment of the circle has an area that will be

Area = the difference between the areas of the sector and triangle

Area = the areas of the sector - the areas of the triangle

The area of the sector will be

[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]

The area of the triangle will be

[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]

Then the area of each segment will be

Segment area = 48π − 23.25√3

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Answer:

1. 6

2. 12

3. 48

4. 36

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 - 11i[/tex]

Therefore, A is the Correct choice !

The volume of the films is the amount  of film in the case

The cost of the films is $810.41

The given paramerers are:

The mass of the films is calculated as:

Mass = Density * Volume

This gives

Mass = 7.6 * 965 g

Evaluate

Mass = 7334 g

Express as kg

Mass = 7.334 kg

The unit cost is:

Unit cost =  $0.34 per kilogram

The number of films is

n = 325

So, the total cost

Total = 325 * 0.34 * 7.334

Evaluate

Total = 810.41

Hence, the cost of the films is $810.41

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Answer: should be B

Step-by-step explanation:

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

Answer:

hypoténuse =  15  in

b ² = 15² - 9²

b ² = 144

b = √144 = 12

Perimeter =  15 + 9 + 12 = 36 inches

Step-by-step explanation:

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the missing side of the triangle.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

We should find the leg of this right triangle, not the hypotenuse.

The hypotenuse, the longest side, is already given to us.

We can find it using Pythagoras' Theorem:

[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].

We know b and c, we need to find a.

[tex]\bf{a^2+9^2=15^2}[/tex] | square

[tex]\bf{a^2+81=225}[/tex] | subtract 81

[tex]\bf{a^2=144}[/tex] | square-root both sides

[tex]\bf{a=\pm12}[/tex]

And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{a=12}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

Answer:

sin is something that we say, think, or do, that displeases God

Step-by-step explanation:

hoped this helped! :)

Answer:

e= 2/9

p= 3/9

Step-by-step explanation:

p is the answer

The more likely probability is selecting the letter P from the word “PINEAPPLE.”

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."

In the word "PINEAPPLE," there is only one occurrence of the letter "E."

And , there are three occurrences of the letter "P" in the word "PINEAPPLE."

Therefore, the probability of selecting E = 2/9

And , the probability of selecting P = 3/9

Hence , it is more likely to select the letter P than E

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#SPJ2

Answer:

option C

Step-by-step explanation:

hope this help u

Answer:

13 C 14 D 15 A 16 B

Step-by-step explanation:

Sorry thats all i know hope you found this helpful

Answer:

x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

to find the zeros equate p(x) to zero , then

(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic

(x + 2)(x + 3)(2x - 3) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

The expected count that can be deduced from the arrivals to the second compartment will be 200.

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)

Answer:

18 kilograms and 18000 grams

Step-by-step explanation:

the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

Where the cost per box changes for x equal or larger than 6.

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Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

Answer: [tex]log (x^3y )[/tex]

Step-by-step explanation:

First we want to make the coefficients of the log the exponents of what is in the log

[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]

Now adding two log with the same base is the same as multiplying what you are taking the log of

[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]

Now subtracting two logs with the same base is the same as dividing what you are taking the log of

[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]

Now we simplify

The [tex]y^2[/tex] cancels out the y in the denomiator

[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]

Step-by-step explanation:

xlog3+ylog2-ylog

log3×log2 -ylog

log6-ylog

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

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Answer:

y = 45, x = 25

Step-by-step explanation:

Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.

2y + 30 = 120, Subtract by 30 on both sides

2y = 90, Divide 90 by 2

y = 45

Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.

2x + 10 = 60, Subtract 10 by both sides

2x = 50, Divide 50 by 2

x = 25

Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For this case, the missing image is attached below.

Applying the sine law, as we have:

The first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).

Using sine law, we get:

[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]

Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

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-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

Answer:

4:8 in simplified form would be 1/2

Step-by-step explanation:

Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!

Answer:

  No

Step-by-step explanation:

At one bucket per roll, four buckets will color four rolls, not 5.

__

The company cannot color 5 rolls of fabric with 4 buckets of dye.

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.