A slice of pizza has an area of 13.5 sq inches. If the pizza has a radius of 9 inches, how many pizza slices make up the whole pie?

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

\({\Large{ \fbox{ \sf{Four \: Boxes }}}}\)

Step-by-step explanation:

Let x boxes are there such that sum of each box's height results in height of stack of boxes,

the expression will look like this

\( \frac{3}{10} \times x = \frac{6}{5} \)

solving for x,

\(x = \frac{6 \times 10}{5 \times 3} \)

\(x = \cancel{ \frac{60}{15} }\)

\(x = 4\)

Answer - There are four boxes.

\(\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}!\)

Answer:

1 1/3 :)

Step-by-step explanation:

5 x 4 = 20 so you do the same to the other side, so 1/3 x 4/1 = 4/3 or 1 1/3

Answer:

I can help!!!

Step-by-step explanation:

Answer: 33: -3 + 8 = 5 (5 • 2 = 2.5)

34: 12 -| -7 |

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

hope this helps

I can confirm that the true answer is 9

Answer:

264 Adults & 217 Children

Step-by-step explanation:

children = c

adults = a

a + c = 481...(Equation 1)

1.25c + 2.25a = 865.25...(Equation 2)

Equation 1 can also be written as,

a = 481 - c

Now we can substitute the value of 'a' in Equation 2

1.25c + 2.25 (481 - c) = 865.25

1.25 c + 1082.25 - 2.25c = 865.25

-c = 865.25 - 1082.25

-c = -217

c = 217

Now, we can substitute the value of 'c' in Equation 1

a + c = 481

a + 217 = 481

a = 481 - 217

a = 264

Answer:x=4

Distribute

Combine like terms

Inverse operation

Answer:

H-20=H-24/2+13

H-20=H-24+26/2

2(H-20)=H-24+26

2H-40=H+2

2H-H=2+40

H=42

Step-by-step explanation:

the wall she's using for the mural is (20.5)(10) = 205 ft², so far she has done 20% of that, well, she still has 100% - 20% = 80% to go on the next four days, so on the next four days she'll be doing 80% of 205 ft².

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 205}}{\left( \cfrac{80}{100} \right)205}\implies 164~ft^2\)

Answer:

Strawberry= 3
Watermelon=3
Coconut=9
Orange=5

Step-by-step explanation:

Quite easy, you can use substitution

First look at the simplest row that can be solved by itself

row 2:

2strawberries +4 = 10

2 strawberries= 6

1 strawberry = 3

Row 3: Strawberry(3)+ orange=8

1 orange= 5

Rpw 4: 14= 1coconut +orange(5)

1 coconut= 9

Row 1: Coconut(9)+ watermelon+ coconut(9)= 21

2 coconut(18)= 21

1 watermelon = 3

Answer:

There are no solutions.

Step-by-step explanation:

If there is 74 and 54 but with the same 15x: there is no solution. Even with negative.

Answer:

There is no solutions

Step-by-step explanation:

lol

Answer:

5

Step-by-step explanation:

Hello There!

The mean is pretty much the average

So to find the mean we first add up all of the values

2+3+6+6+7+8+8=40

Then we count the amount of points

There are 8 points

our final step is to divide the total value by the total number of points

40/8=5

so the mean (average) would be 5

1. They overlap in the 22-26 region, because of lines of both box and whisker plots are stacked on top of each other.

2. Set 1: Q1: 14 Q3: 22 IQR\(=22-14=8\) Set 2: Q1: 26 Q3: 34 \(IQR=34-26=8\)

3. M is the median. So, \(M_2-M_1=30-18=12\)

4. We have \(8x=12\). Solving for x, we get \(x=\frac{12}{8}=1 \frac 12\)

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

T=5

Step-by-step explanation:

the formula is SI=P×R×T

Substitute and make T the subject of the formula

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

22 square units.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the area of the figure, we can split the figure into 3 shapes. (2 triangles and a rectangle)

An expression you can use to solve for the area of a rectangle and the area of a triangle is:

Solving for the triangle on the left:

Solving what is in the parenthesis:

Therefore, the triangle on the left has an area of 6 square units.

To solve for the rectangle in the center, we can use this expression:

Therefore, the area of the rectangle in the center is 12 square units.

Solving for the triangle on the right:

Solving what is in the parenthesis:

Therefore, the area of the triangle on the right is 4 square units.

Adding all of the areas together:

Therefore, the total area of the shape is 22 square units.

Answer:

2-4--2

Step-by-step explanation:

Answer:

An example of scale factoring that could be used in everyday life is when modeling. When modeling and object you don't make it, for example, 10 feet because that cannot fit on a computer screen. So when on a computer you see a much smaller-scale version.

Answer:

D

Step-by-step explanation:

Because im right! yesssss

Answer:

Step-by-step explanation:

The attendance

for the last 4 years at a county fair is shown in the table.

County Fair Attendance

Year Attendance

9 ,278

10,365

12 , 128

13,304

This year, the first 20% of people attending the fair will receive a raffle ticket. Of the people who receive raffle tickets, ? will receive a small prize.

1. Based on the data in the table, determine a reasonable estimate of the number of people who will attend this year's fair. Explain how you

found your estimate.

. Use your estimate to find the approximate number of people who will receive a small prize at this year's fair.

Show your work or provide an explanation of how you found the approximate number of people who will receive a small prize at this year's

Answer:

a) 15,007 people

b) 1,000 people

Step-by-step explanation:

To determine how many people will attend this year's fair, we can find the percent increase of people each year:

From year 1 to year 2, (10,365 - 9,278)/9,278 = 11.7% increase

From year 2 to year 3, (12,128 - 10,365)/10,365 = 17.0% increase

From year 3 to year 4, (13,304 - 12,128)/12,128 = 9.7% increase

First draw a line in the middle of your box vertically. Then draw a horizontal line that is also in the middle of your box and then draw another line above the horizontal line and below the horizontal line in between the two boxes you made I added a picture below to show. The fraction is 1/8

Answer: -2

if she cuts 6 trees then her energy level will go from 4 to -2

Step-by-step explanation:

it's C because |-6 - 5| can be simplified to |6+5| which is |11| therefore, the distance is 11 blocks.

Answer:

No triangles

Step-by-step explanation:

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

5+8 > 20 <-- is not true.