Find the volume of the figure. Express answers in terms of pi then round to the nearest whole number.

Answer: 17%

Step-by-step explanation:

So, the formula to get the area of a circle is [tex]\pi r^{2}[/tex].

USA: [tex]4.2^{2} \pi[/tex] = 55.42cm

India: [tex]8.7^2\pi[/tex] = 237.79cm

From this, we can divide India by USA:

237.79 / 55.42 = 4.291

Then, with that we can multiply our 4% by 4.291:

4 * 4.291 = 17.16400

Rounded to the nearest percent is 17%

the simplest radical form of the exact value of cos A will be 7/8.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given a right-angle triangle that has a base of 14 height of √60 and a hypotenuse of 16.

From the general formula of cosine in a right-angle triangle:

Cos α = base/ hypotaneuse

In our case,

base = 14 and

hypotenuse = 16

Thus,

Cos A = 14/16

A = 0.5053 radians

Therefore, the simplest radical form of the exact value of cos A will be 7/8.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

#SPJ1

Complete question:

Answer:

a. Au = 9cos(30) + 11cos(31)

b. AB = 9sin(30) + 11sin(31) and B = -9sin(30) + 11sin(31)

3. a. 9cos(30) + 2cos(80)

b. 3cos(15) + 4cos(12)

4. The ground velocity of the plane would be 349.4 km/h on a bearing of 225°.

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

The least squares regression line for the corrected data would be shifted upwards compared to the least squares regression line for the original data, since the corrected data point has a higher value than the original data point. This shift in the regression line would indicate that, in general, increasing the amount of time spent studying would have a greater impact on the student's grades than the original data indicated.

The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.

Learn more about data here

https://brainly.com/question/14893265

#SPJ4

Answer: I'm sorry, but the statement "the answer to the meaning of life that is squared by two" is not a coherent or meaningful concept. The meaning of life is a philosophical question that has been debated by scholars, theologians, and thinkers throughout history and has no single, universally agreed-upon answer. Additionally, squaring by two does not have any inherent relationship to the meaning of life.

Step-by-step explanation:

Answer:

y - 7 = 1/4 ( x - 0 )

y -7 = 1/4 x

y = 1/4 x + 7

By using the midpoint rule, the value of n to approximate the integral is 9.24.

The integral of a function is a measure of the total area under the curve of the function over a given interval. The Midpoint Rule is a method used to approximate the value of an integral by dividing the interval into smaller subintervals, finding the midpoint of each subinterval, and using the height of the function at the midpoint to estimate the area of the subinterval.

In this specific problem, we are asked to approximate the integral of the function f(x) = sin root x from x = 0 to x = 48, using the Midpoint Rule with n = 4 subintervals. To do this, we divide the interval [0,48] into 4 equal subintervals of width

=> (48-0)/4 = 12.

The midpoint of each subinterval is calculated as follows:

1st subinterval: (0 + 12)/2 = 6

2nd subinterval: (12 + 24)/2 = 18

3rd subinterval: (24 + 36)/2 = 30

4th subinterval: (36 + 48)/2 = 42

Next, we find the height of the function f(x) = sin root x at each of these midpoints.

1st subinterval: sin root 6 = 0.77

2nd subinterval: sin root 18 = 0.97

3rd subinterval: sin root 30 = 0.87

4th subinterval: sin root 42 = 0.71

Finally, we multiply each height by the width of the subinterval to find the estimated area of each subinterval, and add up these areas to obtain the final estimate of the integral:

(0.77 * 12) + (0.97 * 12) + (0.87 * 12) + (0.71 * 12) = 9.24

So, our final estimate of the integral of f(x) = sin root x from x = 0 to x = 48 using the Midpoint Rule with n = 4 is 9.24. Rounding to 4 decimal places, our answer is 9.2400.

Complete Question:

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

∫0 to 48 sin √x dx, n=4

To know more about integral here.

https://brainly.com/question/18125359

#SPJ4

The union of the set elements is [2, ∞)

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

[2,3] ∪ (3,∞)

The above is a union set

The definition of the union set is that we write out all the elements in the set

Using the above as a guide, we have the following:

[2,3] ∪ (3,∞) = [2, ∞)

Read more about sets at

https://brainly.com/question/24713052

#SPJ1

The fith letter Diego will type is the letter a

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

Letters: a, s, d and f

When the letters are repeated, we have

a s d f a s d f a s d f a s d f a s d f......

using the above as a guide, we have the following:

Fifth letter = a

Hence. the fifth letter is a

Read more about sequence at

https://brainly.com/question/7882626

#SPJ1

Nathan biked a total of 135 miles.

Miles  unit of distance  between 2.1 map of the link of a johnny the tomb my list divided for the letting word thousand and the world to 1.609 kilometers my life report unit measurement is a united states uk kannada some other countries.

To solve this problem, we need to use the given information to find the amount of miles that Jeremy biked. Since Jeremy biked 3 times as many miles as Riley, we know that Jeremy biked 15 x 3 = 45 miles.

Since Nathan biked 3 times as many miles as Jeremy, we know that Nathan biked 45 x 3 = 135 miles. Therefore, Nathan biked a total of 135 miles.

To know more about miles click-
https://brainly.com/question/25631156
#SPJ1

The solution is, prime factorization of 756 = 3*2*3*2*3*7

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

756

we know,

756 = 6*6*21

       =3*2*3*2*3*7

as, we know, 2,3,7 all are prime.

so, prime factorization of 756 = 3*2*3*2*3*7

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

The Bernoulli equation for this particular differential equation is [tex]dy/dx = 6x(y-1)[/tex]  the final solution is [tex]y = x^3 + 1[/tex].

The Bernoulli equation for this particular differential equation is [tex]dy/dx = 6x(y-1)[/tex]. To solve the equation, we first use the substitution u = y – 1. This substitution simplifies the equation to [tex]dy/dx = 6xu[/tex], which is a first-order linear equation with constant coefficients. Now we can use the method for solving Bernoulli equations to find the solution.

We first find the integrating factor, which is [tex]I(x) = exp(∫6xdx)= exp(3x^2)[/tex]. Then we multiply both sides of the equation by I(x) to get [tex]I(x)dy/dx = 6xI(x)u[/tex]. We can now integrate both sides with respect to x and get the general solution of [tex]y = u + 1 = (1/I(x))∫6xI(x)dx + 1[/tex]. After calculating the integral, the final solution is [tex]y = x^3 + 1[/tex].

Learn more about Bernoulli equation here:

https://brainly.com/question/6047214

#SPJ4

Using the cross product property, the value of d is 5.76.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as  p : q = r : s or p/q = r/s

Given proportional relation is,

9 / 10=d / 6.4

Doing the cross multiplication,

9 × 6.4 = 10 × d

57.6 = 10d

d = 57.6 / 10

d = 5.76

Hence the solution of the proportion is d = 5.76.

Learn more about Proportions here :

https://brainly.com/question/26974513

#SPJ1

Answer: 67.69%

Step-by-step explanation:

To calculate the completion percentage,

Divide the completed passes by the total passing attempts.

>      7142/10551

Then, multiply that answer by 100 to get the percentage.

>      67.69%

The value of b form the logarithmic equation [tex]log_b}3=0.7925[/tex] is 3.9998688.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, [tex]log_b}25=2.3219[/tex] and [tex]log_b}3=0.7925[/tex].

Solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

We know that, logₐN=x is written exponential form as aˣ=N

Here, [tex]b^{2.3219}=25[/tex]

b=4.00006709

[tex]b^{0.7925}=3[/tex]

b=3.9998688

Therefore, the value of b is 3.9998688.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ1

The population of the town is 2564 people after 4 years.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The initial population of the town is 1652 people.

And the town's population is tripling every 10 years.

Let y₀ be the initial population, r be the growth rate and t be the time.

So,

y = y₀(e[tex])^{rt}[/tex]

Substituting the values to the function,

y = 1652(e[tex])^{rt}[/tex]

In 10 years,

3y₀= y₀(e[tex])^{rt}[/tex]

r = log(3)/10

Now, the population of town after 4 years is,

y = 1652(e[tex])^{{ln(3)/10} \cdot {t}}[/tex]

y = 2563.64

y ≈ 2564 people.

Therefore, the population is y ≈ 2564, people.

To learn more about exponential growth;

https://brainly.com/question/12490064

#SPJ1

The simplification of the  algebraic expression gives:

(5m² + 3mn - 3n²) - (m² - n²) = 4m² + 3mn - 2n²

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

(5m² + 3mn - 3n²) - (m² - n²) = 5m² + 3mn - 3n² - m² + n²

                                              = 5m²- m² + 3mn - 3n²+ n²

                                              = 4m² + 3mn - 2n²

Therefore, (5m² + 3mn - 3n²) - (m² - n²) simplifies to 4m² + 3mn - 2n²

Learn more about algebraic expressions on:

brainly.com/question/4344214

#SPJ1

The name special quadrilateral that have four right angles. are Square  , Rhombus , Rectangle have 4 right angle.

A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Square - The properties of square is it have 4 side and all side are equal and make 90 degree angle on all 4 side. that's why it has 4 right angle.

Rhombus - The properties of rhombus  is it have 4 side and all side are equal and there diagonal cut each other at 90 degree that's why it has 4 right angle

Rectangle- The properties of square is it have 4 side and parallel sides are equal and make 90 degree angle on all 4 side.that's why it has 4 right angle.

Know more about quadrilateral with right angle click here ;https://brainly.com/question/29018314

#SPJ4

Answer: To find the distance between Earth and the star in miles, we need to multiply the number of light-years by the number of miles in a light-year.

33.7 light-years * 6,000,000,000,000 miles/light-year = 2.022 x 10^17 miles

So, the distance between Earth and the star is approximately 2.022 x 10^17 miles, written in scientific notation.

Step-by-step explanation:

A counterexample that shows that all the integers are not divisible by 3 is given as follows:

2.

The statement for this problem is given as follows:

"All the positive integers are divisible by 3".

The statement is false, as only numbers whose sum of the digits is a multiple of 3 are divisible by 3, hence for example, the number 2 is not divisible by 3.

The counterexample is the statement that proves that a conjecture(another statement) is false, hence the number 2 is the counterexample showing that not all positive statements are divisible by 3.

More can be learned about conterexamples at brainly.com/question/3637836

#SPJ1

Answer:

7-12=x

5(x+2)

7-12=-5

5(-5+2)

5(-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3+d<3-d

3+d<3-dcancel equal terms

3+d<3-dcancel equal termsd<-d

3+d<3-dcancel equal termsd<-dMove the variable to the left

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0divide both sides

3+d<3-dcancel equal termsd<-dMove the variable to the leftd+d<0collect like terms2d<0divide both sidesd<0

The requried generalization that can be made is at least half of the trout in both lakes measure between 12 and 18 inches. Option B is correct.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
Interquartile range (IQR), The IQR is the range of the middle 50% of values in a data set. To calculate the IQR, we first need to find the quartiles of the data set.

In the given question we have 3 IQR data sets that jointly vary from 10 to 17 by this we can conclude that, at least half of the trout in both lakes measure between 12 and 18 inches.

Thus, the requried generalization that can be made is at least half of the trout in both lakes measure between 12 and 18 inches. Option B is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ1

Answer:

[tex]b[/tex] ≈ [tex]7.7[/tex]

Step-by-step explanation:

We need to use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

In this case we have a and c. So let's plug those into the equation:

[tex](5.7)^2+b^2=(9.6)^2[/tex]

Solve:

[tex]32.49+b^2=92.16[/tex]

Round to the nearest tenth:

[tex]32.5+b^2=92.2[/tex]

Subtract 32.5

[tex]b^2=59.7[/tex]

Find 'b'

[tex]b=\sqrt{59.7}[/tex]

[tex]b[/tex] ≈ [tex]7.7[/tex]

I hope this helped you!

Be safe and have great day! (:

Suppose that So, S1, S2,... is a sequence of subsets of N the following sets is guaranteed to be different from all sets in the sequence is S = {n² | n² & Sn}.

Subsets are a part of the mathematical concept of sets. A set is anything that is wrapped in curly braces, such as "a,b,c,d." If set A is a collection of even integers and set B is composed of the numbers 2, 4, and 6, then set A is the superset of set B and set B is said to be a subset of set A. Review Sets Subset and Superset for further details.

Set A is referred to as a subset of Set B if each element of Set A is also present in Set B. In other words, Set B includes Set A.

As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

Learn more about Subsets:

https://brainly.com/question/30379171

#SPJ4

This program implements a user interface that can convert between the units centimeters (cm), meters (m), and inches (in) using the conversion formulas outlined.

#include <iostream>

using namespace std;

int main()

{

// Declare variables

double value;

char fromUnit;

char toUnit;

// Get input

cout << "Enter a value and the units you wish to convert from and to (cm, m, in): ";

cin >> value >> fromUnit >> toUnit;

// Convert the value

if (fromUnit == 'm' && toUnit == 'cm') {

 value *= 100;

} else if (fromUnit == 'cm' && toUnit == 'm') {

 value /= 100;

} else if (fromUnit == 'in' && toUnit == 'm') {

 value /= 100 * 2.54;

} else if (fromUnit == 'm' && toUnit == 'in') {

 value *= 100 * 2.54;

}

// Output the result

cout << "Result: " << value << toUnit << endl;

return 0;

}

The formula used in this program is the conversion between the units centimeters (cm), meters (m), and inches (in). The conversion formula used is as follows:

1 meter (m) = 100 centimeters (cm)

1 inch (in) = 2.54 centimeters (cm)

Therefore, if we are converting from centimeters (cm) to meters (m), the conversion formula is to divide the value by 100. If we are converting from meters (m) to centimeters (cm), the conversion formula is to multiply the value by 100. For the conversion from inches (in) to meters (m), the conversion formula is to divide the value by 100 and multiply it by 2.54. For the conversion from meters (m) to inches (in), the conversion formula is to multiply the value by 100 and divide it by 2.54.

For example, if we want to convert 5 meters (m) to centimeters (cm), we use the formula 5 * 100 = 500 centimeters (cm).

This program implements a user interface that can convert between the units centimeters (cm), meters (m), and inches (in) using the conversion formulas outlined above.

Learn more about conversion formula here:

https://brainly.com/question/29634168

#SPJ4

The volume of the composite figure is equal to 3425.333 cubic feet.

In this problem we need to determine the volume of a composite figure, that is, the sum of the volumes of a right prism and a pyramid, whose formulae are described below:

Right prism

V = 0.5 · w · l · h

Pyramid

V = (1 / 3) · (0.5 · w · l) · h

Where:

Now we proceed to determine the volume of the composite figure:

V = 0.5 · (8 ft) · (7 ft) · (12 ft) + (1 / 3) · 0.5 · (8 ft) · (7 ft) · (7 ft)

V = 3425.333 ft³

To learn more on volume of composite figures: https://brainly.com/question/1284145

#SPJ1