if you made 5 free throws and 4 half-court shots and your friend made 6 free throws and 3 half-court shots, who scored the most points?

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Answer:

24m

Step-by-step explanation:

a = πr^2

144π = πr^2

divide both sides by π

144 = r^2

Take the square root of both sides

12 = r

r = 12

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

d = 2r

d = 2(12)

d = 24

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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Answer:

angle C=88 degrees

Step-by-step explanation:

angles A+B+C+D=360

angles A+C=360-119-65=176

angle A=angle C because it is a kite

2C=176

angle C=88 degrees

To start this is a ratio, and the goal is to get at least 1 to be a whole number so first lets get the number below 1 to 1.

0.75 : 2 5/16 ---> (x1.3333 on both sides) ---> 1 : 3 1/12.

Next, if needed for your answer, lets get the other number to be a whole number as well. We can do this my multiplying both sides by 12 since the fraction on 3 1/12 is 1/12.

1 : 3 1/12 --> (x12 on both sides) ---> 12 : 37

Your final answer will either be 1 : 3 1/12 or 12 : 37, depending on the formatting expected for your homework assignment.

The probability of selecting a student from the class who is a pet owner or prefers cats to dogs is; 0.4

In probability, If events A and B are not mutually exclusive, then the probability of A or B is expressed as;

p(A or B) = p(A) * p(B).

Total number of students = 26

Total number of students that are pet owners = 18

Total number of students that prefers cats to dogs = 26 - (8 + 3) = 15

Thus;

P(pet owner) = 18/26

P(prefers cats to dogs) = 15/26

P(Pet owner or prefers cats to dogs) = (18/26) * (15/26)

= 0.4

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Answer:

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Step-by-step explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.

The area of the fairway between two streams on a gulf course is  3400 yd².

The area is the region bounded by the shape of an object.

To calculate the area of the fairway between two streams on a golf course, we use the formula below

Formula:

Where:

From the diagram in question,

Given:

Substitute these values into equation 1

Hence, the area is  3400 yd².

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Answer:

784

Step-by-step explanation:

Mark as Brainliest

P.S

other person is wrong

Answer:

26 friends

Step-by-step explanation:

Using the system of equations, we found that the amount to be invested in fund A is $180,000 and in fund B is $320,000.

What is meant by an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

The amount in the IRA account = $500,000

Let the amount invested in fund A be x and fund B be y.

x + y = 500,000

The amount received annually for fund A = 0.052x

The amount received annually for fund B = 0.077y

This amount is given as:

0.052x + 0.077y = 34,000

Now we have a system of equations.

x + y = 500,000

0.052x + 0.077y = 34,000

Multiply the first equation by 0.052.

0.052x + 0.052y = 26,000

0.052x + 0.077y = 34,000

Subtracting,

-0.025y = -8000

y = 320,000

Then, x = 500,000 - y = 500,000 - 320,000 = 180,000

Therefore using the system of equations, we found that the amount to be invested in fund A is $180,000 and in fund B is $320,000.

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Answer:

x > 5 or x < -9

Pls mark brainliest. Thanks!

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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Answer:

11.25 seconds

Step-by-step explanation:

first, we need to figure how how far william can run per second

we can find this by 40 ÷ 4.5

= 8.889 per second

so we know that 8.889 • s (seconds) = 100

8.889s = 100                 divide both sides by 8.889

s = 11.25 seconds

Answer:

William will take 11.25 seconds to run 100 yards

Step-by-step explanation:

Constant Rate

William runs 40 yards in 4.5 seconds. The rate of change of the distance is

\(\frac{40}{4.5}\)

To run 100 yards, we divide by the rate obtained above:

\(\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25\)

William will take 11.25 seconds to run 100 yards

9514 1404 393

Answer:

Step-by-step explanation:

Point W is the center of the circle. Any angle with W as its vertex is a central angle:

  angles XWR and VWU are central angles

Any angle with its vertex on the circle and rays that intersect the circle is an inscribed angle.

  angle VST is an inscribed angle

Answer:

YES:  All four conditions in BINS have been satisfied.

Step-by-step explanation:

Check out the BINS conditions:

1.  Is the number of trials a positive integer?  YES

2. Is the experiment binary:  either PASS or FAIL?  YES

3.  Is the probability of success given and in the range 0<p<1?  YES

4.  Are the outcomes independent?  YES

YES:  All four conditions in BINS have been satisfied.

Answer:

A on edge 2202

Step-by-step explanation:

Answer:

\(\pi \: d\)

Step-by-step explanation:

the circumference is equal to pi times diameter

9514 1404 393

Answer:

Step-by-step explanation:

The height equation tells you the height increases 4 feet every time x (seconds) increases by 1. The rate of increase of height is 4 ft/second.

The equation also tells you the height is 3 feet at time = 0. That is, the initial height is 3 feet.

Answer:

106.83ft

Step-by-step explanation:

29 + 29 + 19 = 77ft

Now we must calculate the semicircle, The diameter is 19ft

19ft x 3.14 = 59.66

since 59.66 would be a full circle, you divide it in half.

59.66/2=29.83

77+29.83=106.83ft

Answer:

20

Step-by-step explanation:

your middle median is 20  in ascending order it is also 20  *im in year 8 my explenation is bad*

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

84 miles

Step-by-step explanation:

7+7=14

38-14=24

24/2=12

12 length

7 width

7x12=84