A cone has slantheight of 26 inches and a diameter of 48 inches. What is the volume of the cone to the nearest tenth?

Answer:

Step-by-step explanation:

Please see the 2 attachments

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Answer:

it is a 30 degree angle

Step-by-step explanation:

Solution

For this case we have the following probability given:

p= 0.265

n= 4

Part a

Part b

Replacing we got:

adding the two values we got:

Therefore , the solution of the given problem of triangle comes out to be  angle is 58°  is third angle.

Since a triangle has four or even more sections, it is a polygon. It has an easy geometric form. Triangle ABC refers to a square with edges A, B, and C. A single plane or square are produced by Euclidean geometry when the edges are not collinear. A triangle is a polygon if it has three sides & three corners. Where a triangle's three sides come together are known as the corners. A triangle's angles add up to 180 degrees.

Here,

Given :

A triangle has given angles ,

To find the angle :

=> x + 98° + 24° = 180°

=> x = 180° - 122°

=> x = 58°

Thus , angle is 58° .

Therefore , the solution of the given problem of triangle comes out to be  angle is 58°  is third angle.

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                                                Question 1)

Answer:

The slope between  (-5, -20) and (9, 9) is:

\(m=\frac{29}{14}\)

Step-by-step Explanation

Given the points

Finding the slope between (-5, -20) and (9, 9)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:-20\right),\:\left(x_2,\:y_2\right)=\left(9,\:9\right)\)

\(m=\frac{9-\left(-20\right)}{9-\left(-5\right)}\)

Refine

\(m=\frac{29}{14}\)

Therefore, the slope between  (-5, -20) and (9, 9) is:

\(m=\frac{29}{14}\)

                                        Question 2

Answer:

the slope between (18, -5) and (18, 20) is undefined.

Step-by-step Explanation

Given the points

As the x-values of the points are the same. It indicates that the given line is vertical.

Finding the slope between (18, -5) and (18, 20)

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - (-5)] / [18 - 18]

               = [20+5] / [0]  

               = 25/0

               = ∞ or undefined

Thus, the slope between (18, -5) and (18, 20) is undefined. It indicates that the line is vertical.

Hence, the slope between (18, -5) and (18, 20) is undefined.

Answer:

5x+y=29

Step-by-step explanation:

You use the information that is given and convert it into point-slope form y-y1=m(x-x1) like so. y-4= -5(x-5). Then you solve for y and you get y= -5x+29 which is slope intercept form (y=mx+b). Then you transform it into Standard form (ax+by=c) so all you do is add 5 on both sides and you get 5x+y=29. Now you have found your solution.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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The equation of the tangent to the curve at the point corresponding to t = -1 is y = 9x - 20.

Given the parametric equations \(x = t^9 + 1\) and\(y = t^10 - t\), we first substitute t = -1 into the equations to determine the coordinates of the point. This allows us to obtain the equation of the tangent to the curve at the point corresponding to the parameter value t = -1. The slopes of the tangent line are then determined by differentiating both equations with respect to t and evaluating them at t = -1. We can now express the equation of the tangent line using the point-slope form of a line.

Substituting t = -1 into the parametric equations \(x = t^9 + 1\) and \(y = t^10 - t\), we find that the point on the curve corresponding to t = -1 is (2, -2).

Differentiating \(x = t^9 + 1\) with respect to t gives \(dx/dt = 9t^8\), and differentiating\(y = t^10 - t\) gives \(dy/dt = 10t^9 - 1\).

Evaluating the derivatives at t = -1, we find that the slopes of the tangent line at the point (2, -2) are\(dx/dt = 9(-1)^8 = 9\)and\(dy/dt = 10(-1)^9 - 1 = -11\).

Using the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is the point (2, -2) and m is the slope of the tangent line, we can write the equation of the tangent line as y + 2 = 9(x - 2). Simplifying the equation gives y = 9x - 20.

Therefore, the equation of the tangent to the curve at the point corresponding to t = -1 is y = 9x - 20.

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Answer:

divide it by 4

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

225 divided by 2 is 112.5x4= 450 so 450 is your answer

a.) The number of different groupings of movies you can watch can be calculated using combinatorics. Since you can only watch 5 out of 9 movies, you need to find the number of combinations of 9 movies taken 5 at a time.

The formula to calculate combinations is given by:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be selected.

In this case, n = 9 (total movies) and r = 5 (movies to be selected).

Using the formula, we can calculate the number of different groupings:

C(9, 5) = 9! / (5!(9 - 5)!)

        = 9! / (5!4!)

        = (9 × 8 × 7 × 6 × 5!) / (5! × 4 × 3 × 2 × 1)

        = (9 × 8 × 7 × 6) / (4 × 3 × 2 × 1)

        = 9 × 2 × 7

        = 126

Therefore, you can watch movies in 126 different groupings.

There are 126 different groupings of movies that you can watch out of the 9 movies playing in the theater.

b.) The number of different ways 13 people can be arranged in order into 6 spots can be calculated using permutations. The formula for permutations is given by:

P(n, r) = n! / (n - r)!

where n is the total number of items and r is the number of items to be selected.

In this case, n = 13 (total number of people) and r = 6 (spots to be filled).

Using the formula, we can calculate the number of different arrangements:

P(13, 6) = 13! / (13 - 6)!

         = 13! / 7!

         = (13 × 12 × 11 × 10 × 9 × 8 × 7!) / 7!

         = 13 × 12 × 11 × 10 × 9 × 8

         = 665,280

Therefore, there are 665,280 different ways 13 people can be arranged in order into 6 spots.

There are 665,280 different ways to arrange 13 people in order into 6 spots.

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The three pairs are

All three pairs add to -6. This is something you'd do through trial-and-error.

Answer:

T (2, 2)

U (4 , 0)

V (1, -2)

Step-by-step explanation:

The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.

Answer:

Negative 55 is a rational number.

Step-by-step explanation:

This number can be expressed as a fraction where a & b are integers. By a & b i mean (a/b). B isn't equal to 0.

Using the remainder theorem, we found that c = -7 is indeed a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21 because the remainder obtained from dividing the polynomial by (x + 7) was zero.

No, c = -7 is not a zero of the polynomial.

To determine if c = -7 is a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21, we can use the remainder theorem. According to the theorem, if c is a zero of the polynomial, then when we divide the polynomial by (x - c), the remainder should be zero.

Let's divide the polynomial by (x + 7) to check if the remainder is zero:

    -4x^3 - 28x^2 - 3x + 21 ÷ (x + 7)

Using polynomial long division:

          -4x^2  +  0x  -  3

   ------------------------

x + 7 | -4x^3 - 28x^2 - 3x + 21

         -4x^3 - 28x^2

         ----------------

                        0x^2 - 3x

                        0x^2 + 0x

                        -----------

                                    -3x + 21

                                    -3x + 21

                                    ----------

                                                0

The remainder is zero, which means that (x + 7) evenly divides the polynomial. Therefore, c = -7 is a zero of the polynomial.

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Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

Answer:

f(4) = -55

Step-by-step explanation:

Given

f(1) = 5

f(n) = -2f(n-1) - 5

If you substitute n with 4 you get:

f(n) = -2f(n-1) - 5

f(4) = -2f(4-1) - 5

     = -2f(3) - 5

This shows that you have to calculate the value of f(3) before we can get the value of f(4). To calculate f(3) we have to know f(2) and to calculate f(2) we have to know f(1), which is given.

Let's start from the bottom.

f(1) = 5

f(2) = -2f(n-1) - 5

     = -2f(2-1) - 5

     = -2f(1) - 5      // substitute f(1) with the value 5 (given)

     = -2(5) - 5

     = -15

f(3) = -2f(n-1) - 5

     = -2f(3-1) - 5

     = -2f(2) - 5      

     = -2(-15) - 5

     = 25

Now we can finally calculate f(4)!

f(4) = -2f(n-1) - 5

     = -2f(4-1) - 5

     = -2f(3) - 5      

     = -2(25) - 5

     = -55

Answer:

\(\huge\boxed{\sf p = 48\°}\)

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

? = 106°

Step-by-step explanation:

the 2 angles marked with double arcs are equal

the sum of the interior angles of a quadrilateral = 360° , then

63° + 85° + 2? = 360° , that is

148° + 2? = 360° ( subtract 148° from both sides )

2? = 212° ( divide both sides by 2 )

? = 106°

Answer:

B) 2 1/4

Step-by-step explanation:

Answer:

B.2 1/4

C.9/4

Step-by-step explanation:

2 1/4 is what shown

9/4=2 1/4

The number of adults and the number of children who used the swimming pool is 102 and 304 respectively.

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations which on solving gives the intersecting point of all the solutions.

Let x be the number of adults and y be the number of children who swam on that day.

Total of 406 people swam in the swimming pool that day.

Number of adults + number of children = 406

x + y = 406

Assuming the receipts for admission totaled $609.5.

Cost per child is $1.25 and cost per adult is $2.25.

Cost for x adults and y children is $609.5.

2.25x + 1.25y = 609.5

We have to solve,

x + y = 406

2.25x + 1.25y = 609.5

Multiplying the first equation with 2.25,

2.25x + 2.25y = 913.5

Subtracting 2.25x + 1.25y = 609.5 from 2.25x + 2.25y = 913.5,

y = 304

x = 406 - 304 = 102

Hence the number of adults are 102 and the number of children are 304.

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Answer:

James is incorrect. The outcome of a coin toss is always random and independent of previous tosses. Each toss has a 50% chance of landing heads and a 50% chance of landing tails, regardless of the outcome of previous tosses. This is known as the principle of independence in probability theory.

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2  

I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong

When dealing with a suspected unfair coin, you would assign empirical probabilities to the simple events of the sample space based on observed data or experimental results.

If you suspect an unfair coin, the empirical probabilities you would assign to the simple events of the sample space would depend on the specific characteristics of the coin. Empirical probability is based on observed data or past occurrences. In the case of a suspected unfair coin, you would need to conduct experiments or gather data to determine the probability of each simple event.

For example, if you suspect that the coin is biased towards heads, you could flip the coin multiple times and record the number of times it lands on heads and tails. Based on this data, you can calculate the empirical probability for each simple event (heads or tails) by dividing the number of occurrences by the total number of trials.

It's important to note that empirical probabilities are not guaranteed to be accurate representations of the actual probabilities, especially with a small sample size. To get more reliable results, it's recommended to conduct a larger number of trials. Additionally, it's essential to ensure that your analysis is unbiased and that you report your findings accurately.

In conclusion, when dealing with a suspected unfair coin, you would assign empirical probabilities to the simple events of the sample space based on observed data or experimental results.

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{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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the value today of the money machine is approximately $29,499.48.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

PV is the present value

C is the cash flow per period

r is the interest rate per period

n is the number of periods

Cash flow per year (C) = $4,161.00

Number of years (n) = 23.00

Interest rate (r) = 15.00%

First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:

r = 15.00% / 100 = 0.15

PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15

Using a calculator, we find that the present value (PV) is approximately $29,499.48.

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Answer:

700 books huey finish he your answer

Answer:

175 pages

Step-by-step explanation:

Answer:

. 175

Step-by-step explanation:

There are 2 ways that we can find the answer to this question:

1. Take 1/4 of 697

2. Take 3/4 of 697 and minus the product from 697.

Let's do it both ways:

If we are doing it the first way it would look like this:

(1/4)(697) = 175

Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.

The second way would look like this:

(3/4)(697) = 523

679 - 523 = 174 (roughly 175)

Therefore, the answer to your question would be . 175. pls mark brainliest

Answer:

answer is 10/9

:-)))☺️☺️

I hope it helps you

Answer: 1 and 1/9

Step-by-step explanation: Here, we have 5/6 ÷ 3/4.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So here, 5/6 ÷ 3/4 can be rewritten as 5/6 × 4/3.

Now we're simply multiplying fractions so we multiply across the

numerators and multiply across the denominators.

So we have 5 × 4 which is 20 and 6 × 3 which is 18.

Notice that 20/18 is not in lowest terms so we divide the

numerator and the denominator of 20/18 by 2 to get 10/9.

If you would like, you can change this to the mixed number 1 and 1/9

by simply dividing 9 into 10 and putting the remainder over the denominator.