find the area and circumference of each circle, rounding to the nearest tenth. use 3.14 for look at the formula for finding the area and circumference if you need help.

Mathematics High School

find the area and circumference of each circle, rounding to the nearest tenth. use 3.14 for π look at the formula for finding the area and circumference if you need help.

Find The Area And Circumference Of Each Circle, Rounding To The Nearest Tenth. Use 3.14 For Look At The

Answers

Answer 1

Step-by-step explanation:

1) area= 2.4^2×3.14=18.0864

rounded=18ft^2

circumference= 4.8×3.14=15.072

rounded= 15ft

2) area= 6^2×3.14=113.04

rounded= 110ft^2

circumference= 12×3.14=37.68

rounded= 38ft

3) area= 32^2×3.14=3215.36

rounded=3220ft^2

circumference= 64×3.14=200.96

rounded=200ft

Related Questions

Draw triangle LMN with vertices L(2,-2), M(6,-4) and(5,4). Find the coordinates of the vertices after 90degrees rotation about the origin and about each of the point of L,M,and N

Answers

The coordinates of the vertices after rotation depend on the point around which rotation is done.

Rotation of a shape around the origin (0,0) means that each point in the shape has to be moved around the origin by a certain angle. This is done by using the equation x'=xcosθ-ysinθ and y'=xsinθ+ycosθ, where x and y are the coordinates of the point before rotation and x' and y' are the coordinates of the point after rotation. In this case, the angle of rotation is 90 degrees. When we rotate triangle LMN by 90 degrees around the origin, the coordinates of the vertices become L'(2,2), M'(-4,6) and N'(4,-5).When we rotate the triangle around any of the points of L, M, or N, the coordinates of the vertices will change accordingly. For example, if we rotate the triangle around point L, the coordinates of the vertices become L'(2,-2), M'(-2,4) and N'(-6,0). Similarly, if we rotate the triangle around point M, the coordinates of the vertices become L'(2,-2), M'(6,-4) and N'(0,6). Lastly, if we rotate the triangle around point N, the coordinates of the vertices become L'(2,-2), M'(4,5) and N'(5,4).

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HELP SOLVE PLEASEEE ENOUGH POINTSSS

Answers

Step-by-step explanation:

$ 540 / 12 mos = $ 45 per month for all of the services

SO H + D + N = 45 and N = 2D

So H + D + 2D = 45

and H+ D = 300/12 = $25 / month

so (H+D) + 2D = 45

25 + 2D = 45

D = 10 dollars per month

then H = 15 dollars per month ( because H+D = 25)

and N = 20 dollars per month ( because N = 2D)

The cost of the Disney plus subscription is $10, Netflix is $20, and Hulu is $15 per month.

Work,

Set up 3 equations

H - cost of Hulu per month
N - cost of Netflix per month
D - cost of Disney per month

1) 12H + 12N + 12D = 540
2) 12H + 12D = 300
3) N = 2D

Now, I’m going to substitute 2D = N for N in the first equation to get the equation…
1) 12H + 12(2D) + 12D = 540. -> substitute 2D in for N
1) 12H + 36D = 540. -> add like terms

For the second equation, I’m going to solve it to make the equation equal H…
2) 12H = 300 - 12D. -> subtracted 12D from both sides
2) H = 25 - D. -> divided the entire equation by 12

Since we have H singled out, we can now substitute this equation in for H in the first equation,
1) 12(25 - D) + 36D = 540. -> you didn’t have to divide by 12 in the second equation but I did it because I wanted you know what to do in any other situation and it also helps in the end.
1) 300 - 12D + 36D = 540. -> distribute the 12
1) 300 + 24D = 540. -> add like terms
1) 24D = 240. -> subtract 300 on both sides
1) D = 10. -> divide by 24

So the Disney subscription is 10 dollars per month. Using that we can find the value of H and N…

2) H = 25 - 10. -> substitute the value of D into the equation
2) H = 15. -> solve

3) N = 2(10). -> substitute
3) N = 20. -> solve

So the cost of the Disney plus subscription is $10, Netflix is $20, and Hulu is $15 per month.

I hope this helps and you understand how I got my answer! If you have any questions about the explanation you can comment it and I can to help you! :)

Select the action you would use to solve x - 3 = 12. Then select the property that justifies this action select all that apply A. Action: add 3 to both sides B. Action: Multiple both sides by 3

Answers

Answer: A. Action: add 3 to both sides

Step-by-step explanation:

The property that justifies this action is the addition property of equality, which states that if you add the same number to both sides of an equation, the equation remains true.

[9,7] is the difference between 2 vectors with components [3,4] and [-6, b] what is b

Answers

The value of b is -6

We know that the difference between two vectors with components (a1, a2) and (b1, b2) is given by (b1-a1, b2-a2).

So in this case, we have

[b1 - 3, b2 - 4] = [(-6) - 3, b - 4]

Simplifying the right-hand side gives us

[-9, b - 4]

So we can set the components of the left-hand side equal to the corresponding components of the right-hand side

b1 - 3 = -9

b2 - 4 = b - 4

Solving for b in the first equation gives us

b1 = -9 + 3 = -6

Substituting this into the second equation and simplifying gives us

-6 - 4 = b - 4

-10 = b - 4

b = -10 + 4 = -6

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Reasoning with similarity geometry please help. 40 points

Answers

Answer:

ABC and CEF are right triangles | definition of right triangle

ABC and CEF are 30-60-90 triangles | definition of 30-60-90 triangle

ABC is similar to CEF | Angle-Angle-Angle similarity theorem

Penny has at least $4.50 plus 2/5 of the amount of money that Susie has. Write an expression for the amount Penny has (p) in terms of how much Susie has (s). If Susie has $11.50, use your expression to calculate how much Penny has.

Answers

We can begin by defining Penny's total wealth as a mix of a set sum and a portion of Susie's wealth to develop an expression of how much money she has. We are informed that Penny has at least $4.50 and an additional 2/5 of Susie's wealth. Hence, we can write:

p = $4.50 + (2/5)s

where p is Penny's wealth, s is Susie's wealth, and s is represented by the letters.

If Susie has $11.50, we may enter s = $11.50 into the formula for p to see how much Penny has:

p = $4.50 + (2/5)($11.50)

p = $4.50 + $4.60

p = $9.10

As a result, Penny has $9.10 and Susie has $11.50.

In conclusion, the equation for Penny's wealth in terms of Susie's wealth is p = $4.50 + (2/5)s. When we enter s = $11.50 into the formula, we obtain p = $9.10, which is how much money Penny has while Susie has $11.50.

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What is the measure of âˆ r in â–³pqr? round to the nearest degree. 26Â° 42Â° 45Â° 64Â°

Answers

The measure of ∠R in ΔPQR is option (a) 26⁰

Since angle P is a right angle (90 degrees), triangle PQR is a right triangle.

Using the Pythagorean theorem, we can find the length of the remaining side PQ

PQ^2 = PR^2 - QR^2

PQ^2 = 12.7^2 - 14.1^2

PQ^2 = 161.29 - 198.81

PQ^2 = 37.52

PQ ≈ 6.12

Now we can use the sine function to find the measure of angle R

sin(R) = opposite/hypotenuse = PQ/PR

sin(R) = 6.12/12.7

sin(R) ≈ 0.482

Taking the inverse sine (sin^-1) of both sides, we get:

R ≈ sin^-1(0.482)

R ≈ 26 degrees

Therefore, the correct option is (a) 26⁰

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The given question is incomplete, the complete question is

What is the measure of angle R in triangle PQR?

a) 26°

b) 42°

c) 45°

d) 64°

would most people take the following gamble? flip a coin, if heads you win $75, if tails you lose $50. explain your answer.

Answers

Answer:

50/50 Chance

Step-by-step explanation:

I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.

!!PLEASE HELP ASAP!!
The function g(x) is the height of a football x seconds after it is thrown in the air. The
football reaches its maximum height of 28 feet in 6 seconds, and hits the ground at
12 seconds.
What is the practical domain for the function f(x)?
Type your answer in interval notation.

Answers

Answer:

[0,12]

Step-by-step explanation:

The unit of the domain is seconds

x is greater than or equal to zero because time can't be negative

Time stops at 12 seconds since the ball hits the ground.

Brackets are used to include both 0 and 12 as values

At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?
0.13
0.14
0.20
0.22

Answers

Let's use conditional probability to solve this problem. We want to find the probability of a customer purchasing a specialty espresso drink and a food item, so we can use the following formula:

P(specialty espresso drink and food) = P(food|specialty espresso drink) * P(specialty espresso drink)

We know that P(specialty espresso drink) = 0.56 and P(food|specialty espresso drink) = 0.35, so we can substitute these values into the formula:

P(specialty espresso drink and food) = 0.35 * 0.56

P(specialty espresso drink and food) = 0.196

Therefore, the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item is 0.196 or approximately 0.20 (rounded to two decimal places).

So, the answer is option C: 0.20.

I NEED HELP ON THIS ASAPPP!

Answers

Answer:

i thinks its scalene

Step-by-step explanation:

scalene is under 90 degrees

equal is 90 exact

and obtuse is over 90 but under 180

Let x and y both represent rational numbers. Select whether each expression is always, sometimes, or never a
rational number.
x-y
x + y
Always Sometimes Never

Answers

The expressions x - y and x = y are sometimes a rational number.

Classifying the types of the numbers

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

x and y = rational numbers

The difference of two rational numbers is always a rational number, so x - y is sometimes a rational number.

The sum of two rational numbers is always a rational number, so x + y is sometimes a rational number.

Therefore, both expressions are sometimes a rational number.

Answers

The length of the hypotenuse is the line connecting the two points (-3,-7) and (-7,-1), which has length 2√13, as calculated above.

What precisely is a triangle?

A triangle is a clοsed, dοuble-symmetrical shape cοmpοsed οf three line segments knοwn as sides that intersect at three places knοwn as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factiοns equal), isοsceles, οr scalene based οn their sides.

Next, we can find the length of the hypotenuse by using the distance formula, which is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, in this case, we have:

d = √((-7 - (-3))² + (-1 - (-7))²)

= √((-4)² + (-6)²)

= √(16 + 36)

= √52

= 2√13

Therefore, the distance between the two points in simplest radical form is 2√13.

The length of the hypotenuse is the line connecting the two points (-3,-7) and (-7,-1), which has length 2√13, as calculated above.

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you want to estimate the average time college students spend studying per week. you know that the population standard deviation for studying time per week for college students is 3.5 hours. you want a 99% confidence interval with a margin of error of 30 minutes (0.50 hours). how many students do you need in your study?

Answers

You need a sample size of approximately 82 students to estimate the average time college students spend studying per week with a 99% confidence interval and a margin of error of 30 minutes (0.50 hours).

To determine the sample size, we will use the formula given below;

Where, n = sample size

Zα/2 = the z-score associated with the level of confidence

α = level of significance

σ = population standard deviation

d = margin of error of the estimation.

Substituting the given values, we have; n = [(Zα/2 * σ)/d]^2

We are given the population standard deviation, σ = 3.5 hours.

We are also given the margin of error, d = 0.5 hours.

We need to find the value of Zα/2 at 99% confidence level.

Since the sample size is large enough, we can use the z-distribution to find the z-value.

The area under the standard normal distribution curve for a 99% confidence level is as shown below;

Using the z-tables, the value of Zα/2 for a 99% confidence level is 2.576.

Substituting the values into the formula; n = [(Zα/2 * σ)/d]^2n = [(2.576 * 3.5)/0.5]^2= (9.006)^2= 81.12

Since we need a whole number for the sample size, we round up the value to get 82.

However, since the standard deviation of the population is known, we can use the z-distribution to construct a confidence interval for the population mean. This will give us an accurate interval estimate of the population mean.

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a vat with 500 gallons of beer contains 4% alcohol (by volume). beer with 6% alcohol is pumped into the vat at a rate of 5 galymin and the mixture is pumped out at the same rate. what is the percentage of alcohol after an hour?

Answers

The percentage of alcohol after an hour will be approximately 4.9%.

What is percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let p(t) be the percentage of alcohol at time t.

Where t is in minutes.

Amount of alcohol in vat = Volume of vat x p/100

Rate of change of alcohol in vat = Volume of vat x dp/dt time 1/100

Rate of change of alcohol in vat = 500 x dp/dt x 1/100

Rate of change of alcohol in vat = 5 x dp/dt

Net rate of change of alcohol = (Rate of inflow of alcohol) - (Rate of Outflow of alcohol)

Rate of Inflow of alcohol = 0.06 - 5 = -4.94 gal/min

Rate of outflow of alcohol = p(t)/100 x 5 = 0.05p(t) gal/min

Therefore, the rate of change of alcohol is 0.03 - 0.05 p(t) gal/min

Finally we can write

5 x dp/dt = 0.3 - 0.05 p

Divide both sides by 5

dp/dt = 0.06 - 0.01p

Integrate both sides

[tex]\int {dp} / 0.06 -0.01p = \int dt[/tex]

-100ln (0.06 - 0.01p) = t + C

At t=0, p=4, therefore

-100ln (0.06 - 0.04) = 0 + C

391.2 = C

Substitute the value of C, to get

-100ln (0.06 - 0.01p) = t + 391.2

Substitute t = 60 and solve for p

-100ln (0.06 - 0.01p) = 60 + 391.2

-100ln (0.06 - 0.01p) = 451.2

ln (0.06 - 0.01p) = -4.512

[tex]p = \frac{0.06 - e^{-4.512} }{0.01}[/tex] ≈ 4.9%

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3
What is the measure of arc JR?
J
?
mJR
R
37°
K
L
degrees

Answers

The measure of angle subtended by the arc JR is determined as 74 ⁰.

What is the measure of arc JR?

The measure of arc JR is calculated by applying the following principle of circle geometry for a cyclic quadrilateral as shown below.

The measure of the angle tangent to the circle opposite the arc JR is given as 37 ⁰.

The measure of angle subtended by the arc JR is calculated as

m∠ JR = 2 x 37 ⁰ ( angle at the tangent is half of the angle subtended by the arc.

m∠ JR =74 ⁰

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use partial fractions to find the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 10x2 7x − 2 x3 x2 dx

Answers

The indefinite integral is:

-10 ln|x| + 3 ln|x - 2| + 7 ln|x + 1| + C

First, we factor the denominator of the integrand using partial fractions:

x^3 - x^2 - 2x = (x - 2)(x + 1)x

We then express the integrand as:

10x^2 - 7x + 2 = A/(x - 2) + B/x + C/(x + 1)

Multiplying both sides by the denominator and solving for A, B, and C, we get:

A = -4, B = 10, C = 1

Thus, we can rewrite the integrand as:

-4/(x - 2) + 10/x + 1/(x + 1)

Integrating each term separately and combining the results, we obtain the final expression for the indefinite integral.

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The surface area of a cone is given by the formula
S = πl + πr2. Solve the formula for l.

l = S – r2
l = S + r2
l = l equals StartFraction S Over pi minus r squared. – r2
l = l equals StartFraction S Over pi plus r squared. + r2

Answers

Answer:

The answer is:

[tex]l=\dfrac{S-\pi r^2}{\pi }[/tex]

Step-by-step explanation:

In order to determine the solution for I, we have to know about the equations.

In any equation there are variables. If we want to determine the value of one of them, we have to free that variable in any side of the equation.

Regarding the surface of a cone, i have attached an image that shows the real formula of the surface of a cone, We can see that in this case:

[tex]l=rI[/tex]

So, we have the next formula and we want to l:

[tex]S=\pi l+\pi r^2[/tex]

[tex]S-\pi r^2=\pi l[/tex]

[tex]\dfrac{S-\pi r^2}{\pi }=l[/tex]

Finally the solution for I is:

[tex]l=\dfrac{S-\pi r^2}{\pi }[/tex]

i need this answer asap with explanation

Answers

Answer:

1 , 1.01 , 1.02 , 1.03 , 1.04

Step-by-step explanation:

a sequence with steps of constant size is an arithmetic sequence.

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d has to be found

given a₅ = 1.04 , then

1 + 4d = 1.04 ( subtract 1 from both sides )

4d = 0.04 ( divide both sides by 4 )

d = 0.01

then sequence is

1 , 1.01 , 1.02 , 1.03 , 1.04

PLEASE HELP ME!!!!!!!!!!!!!!

This figure is a rectangle with a semicircle on the shorter side.

What is the perimeter of this figure?

Use 3.14 for pi.

A. 20.28 ft

B. 30.28 ft

C. 46.28 ft

D. 74.24 ft

Answers

Answer: it should be b

Step-by-step explanation:

The perimeter of the rectangle is equal to the sum of the lengths of the three sides not bound by the semicircle:
10 ft + 4 ft + 10 ft = 24 ft

The perimeter of the semicircle is (1/2)*2*pi*r. The diameter of the circle is 4 ft, so the radius is 2 ft.
(1/2)*2*pi*2 = 6.28 ft

Add the perimeters of the rectangle and semicircle to find the total perimeter of the figure:
24 ft + 6.28 ft = 30.28 ft

Therefore, the answers is 30.28 ft.

The volume of a triangle

Answers

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{9\times 7}{63}\\ h=6 \end{cases}\implies V=\cfrac{(63)(6)}{3}\implies V=126~cm^3[/tex]

now, for the slanted cone, we can use Cavalieri's Principle for an slanted cylinder, thus we can say that the slanted cone will have the same volume of a non-slanted cone, now, since this one has a diameter of 6, that means is has a radius of 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3} \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\cfrac{\pi (3)^2(7)}{3}\implies V=21\pi \implies V\approx 66~cm^3[/tex]

Answer:

Step-by-step explanation:

Please help me! This is due at 2:15 PM!!!! WHICH ALREADY PASSED!!! ITS GOING TO BE LATE> A game has 15 balls for each of the letters B, I, N, G, O. The table shows the results of drawing balls 1,250 times.
Letter Frequency

B 247

I 272

N 238

G 241

O 252

For which letter is the experimental probability closest to the theoretical probability? Explain please.

Answers

Answer: O: 252

Step-by-step explanation:

Theoretically, all of the letters would've been drawn 250 times as that is the theoretical possibility. The closest number to the theoretical number in this experiment would be 252 which belongs to O

The Boeing 747-8 Intercontinental Jet can carry approximately 63,500 gallons of jet fuel, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Create a linear model that represents the amount of fuel on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.

Answers

Answer: To create a linear model that represents the amount of fuel on the plane as a function of flight time, we need to use the given information to calculate the fuel burn rate of the airplane in gallons per hour.

Fuel burn rate = Fuel capacity ÷ Range

Fuel burn rate = 63,500 gallons ÷ 14,430 km = 4.4 gallons per km

We need to convert km to miles, as flight time is usually measured in hours and miles. We can use the conversion factor 1 km = 0.621371 miles to convert kilometers to miles.

Range in miles = Range in km ÷ 0.621371

Range in miles = 14,430 km ÷ 0.621371 = 23,594 miles

Fuel burn rate = Fuel capacity ÷ Range in miles

Fuel burn rate = 63,500 gallons ÷ 23,594 miles = 2.69 gallons per mile

Therefore, the linear model that represents the amount of fuel on the plane as a function of flight time, in hours, is:

Fuel on plane (in gallons) = Fuel capacity - Fuel burn rate x Flight time (in hours)

F(t) = 63,500 - 2.69t

where F(t) is the amount of fuel on the plane (in gallons) after flying for t hours.

Step-by-step explanation:

A parabola is defined as the set of points the same distance from (6,2) and line y=4. Select all points that are on this parabola

Answers

In conclusion there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12