Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

money and time needed for him

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

Read more about functions at

https://brainly.com/question/27915724

#SPJ1

Answer:

15.86552112%

Step-by-step explanation:

Approximately 15.87% of test takers completed the exam in under 65 minutes.

To find the percentage of test takers who finished the exam in less than 65 minutes, we need to use the normal distribution to find the proportion of test takers who fall within this time range.

First, we need to convert the time in minutes to a standard score, also known as a z-score.

The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value (in this case, the time taken to finish the exam), μ is the mean, and σ is the standard deviation.

Substituting the given values into the formula, we get:

z = (65 - 80) / 15 = -1

This means that the time of 65 minutes is 1 standard deviation below the mean.

Next, we can use a z-table or a calculator that can calculate the area under the normal curve to find the proportion of test takers who scored less than 65 minutes. This proportion is the same as the percentage of test takers who finished in less than 65 minutes.

Using a z-table or a calculator, we find that the proportion of test takers who scored less than 1 standard deviation below the mean is about 0.1587 × 100% = 15.87%. This is also the percentage of test takers who finished the exam in less than 65 minutes.

Therefore, about 15.87% of test takers finished the exam in less than 65 minutes.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ5

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Answer:

Rs 190000

Step-by-step explanation:

Total property = Rs 1000000

For 1 son= 27% of the property

For 3 sons=27%×3= 81%

For daughter=100%-81%=19%

Now,

For daughter

19% of Rs 1000000

19/100 × Rs 100000

Rs 190000

Hence the daughter will get Rs 190000

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

To know more about common factor visit:
https://brainly.com/question/29014674
#SPJ1

Answer:

total weight - weight of ruler

55-19= 36g

so the pencils weigh 36g in total

but there are 4 pencils and they asked how much each pencil weighed.

so we say 36÷4= 9g

each pencil weighs 9g

Step-by-step explanation:

check: 9+9+9+9+19 = 55g

The required weight of each pencil is 9 grams, as followed by the given condition.

Let's assume the weight of each pencil is "x" grams.

Cora has 4 identical pencils, so the total weight of the pencils can be represented as 4x grams.

The total weight of 4 pencils and 1 ruler is 55 grams. So, we can set up an equation:

4x (weight of pencils) + 19 (weight of the ruler) = 55

Now, we can solve for "x":

4x + 19 = 55

Subtract 19 from both sides to isolate 4x:

4x = 55 - 19

4x = 36

Finally, divide both sides by 4 to find the weight of each pencil:

x = 36 / 4

x = 9

Each pencil weighs 9 grams.

Learn more about weight here:

https://brainly.com/question/22496654

#SPJ6

Answer:

False

Because it is called Proportional Tax

The fixed-rate doesn't increase or decrease as income rises or falls. An individual who earns $25,000 annually would pay $1,250 at a 5% rate, whereas someone who earns $250,000 each year would pay pays $12,500 at that same rate

Answer:  x = -3/2

Step-by-step explanation:

Answer:

\(\sqrt{97\)

Step-by-step explanation:

The Pythagorean Theorem states that if you square the two legs and take the square root of the two legs, then you get the hypotenuse.

9^2+4^2

=81+16

=97

=    \(\sqrt{97}\)

Hope it helped!

Hi, there!

 _______

The key here is to use Pythagoras' Theorem (Below)

\(\boldsymbol{a^2+b^2=c^2}\)

Here,

\(\textsc{legs}\begin{cases}\bold{a}\\\bold{b}\end{cases}\)

Hypotenuse (longest side) c

»Substitute the parameters

\(\boldsymbol{4^2+9^2=c^2}\)

\(\boldsymbol{16+81=c^2}\)

\(\boldsymbol{97=c^2}\)

»Square root both sides

\(\boldsymbol{c=\sqrt{97}}\)

Hope the answer - and explanation - made sense,

happy studying!!

For this case, the first thing we should do is write the linear function that best suits the table.

In this case we have the following function:

y = 7.5x - 5

C = 7.5t-5

For C = 100 we have:

100 = 7.5t-5

We clear the time:

t = (100 + 5) / (7.5)

t = 14

it did take the pizza to reach 100 degrees Celsius about 14 minutes.

Answer:

139°

Step-by-step explanation:

18°+23°+?= 180°{sum of angles on a triangle}

41°+?° = 180°

?° =180-41=139°

Answer:

B

Step-by-step explanation:

it would be B because of the answer is-5/8 lol

Answer:

A

Step-by-step explanation:

None of the other answer made since.

The value of  \((\frac{1}{2} )^{\frac{1}{2} }\) is 0.707.

1÷2 = 0.5

Given, \((\frac{1}{2} )^{\frac{1}{2} }\)

Could be written like, \((0.5)^{0.5}\) or √(1 ÷ 2) or √(0.5)

So the value of √(0.5) is 0.707.

Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:

Step 1: Divide the supplied integer by its decimal equivalent.

Step 2: If the connected components are identical, a pair is generated.

Step 3: Choose one of the pair members for her.

Step 4: Multiply the prime numbers you got by picking one from each pair.

Step 5: This product is the square root of the specified number.

Learn more about factorization at

https://brainly.com/question/2515494?referrer=searchResults

#SPJ1

Answer:

49.13ft^2

Step-by-step explanation:

First get the area of the triangle

6x8=48

48/2=24ft squared

Now the semi-circle

1/2πr^2

1/2π2^2=25.1325

25.1325+24=49.1325

round to  49.13ft^2

Hope This helps!

:)

Answer:

Option A is the right answer mate...

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

To learn more about right angle triangle visit:

https://brainly.com/question/2773823

#SPJ4

The dragging of the tiles to the appropriate places is given below.

1. 5.83 m/s > magnitude 4.5 m/s, direction angle 55˚ magnitude 3m/s, direction angle 135°

2. 4.05 m/s > magnitude 3.5 m/s, direction angle 35˚ magnitude 4 m/s, direction angle 150˚

3. 5.29 m/s > magnitude 6 m/s, direction angle 120˚ magnitude 2 m/s, direction angle 240˚

4. 3.32 m/s > magnitude 3 m/s, direction angle 70° magnitude 5 m/s, direction angle 210˚

Learn more about vector on

https://brainly.com/question/12980270

#SPJ1

Answer:

D: The slope is 3, and the y-intercept is 3/2

Answer:

  D C E A B

Step-by-step explanation:

The attachment shows the construction. Seeing this, it is a matter of logic. A point can't be placed until there is something to place it on. An arc can't be drawn until there is a center for it. The sequence must be ...

Answer:

24/4/-a+12=/9d

Step-by-step explanation:

Answer:

This is a ssa situation, no triangle is possible.

Step-by-step explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)

\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)

\(\implies \sf \sin B=1.0475007...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

For similar questions on distance

https://brainly.com/question/32037529

Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

Answer: The volume of the pipe is 412 cubic feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π x radius² x height (Length in this case)

Replacing with the values given:

V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet  (rounded)

In conclusion, the volume of the pipe is 412 cubic feet

Feel free to ask for more if needed or if you did not understand something.

Answer:

V = 392.5 cubic feet

Step-by-step explanation:

\(v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi\)

\(\pi =3.14\)

\(v=392.5cu.ft\)

Hope this helps

ANSWER:

40 in^2

EXPLANATION:

Given:

Number of sectors of the spinner = 9

The ratio of the area of one sector to the total spinner area = 1/9

Area of the spinner = 360 square inches

So the area of one sector will be;

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

L'M'N' is scaled by 2.5

Step-by-step explanation:

10 / 4 = 2.5

20 / 8 = 2.5