Mathematics Middle School

A circular plate has circumference 29.5 inches. What is the area of this​ plate? Use 3.14 for pi.

Answers

Answer 1
The circumference is given by the formula:

C = 2 pi r

In this case, we are provided with C, but not r, so we must make r the subject

29.5 = 2 x 3.14 x r

Divide by 2 x 3.14 to get r by itself

r = 4.69745.... (don't round off yet!)

Now that we found r, let's use the formula for the area of a circle,

A = pi r^2
= 3.14 x (4.69745...)^2
= 69.3 in^2 (1 dp)

Hope this helped!
Answer 2

Final answer:

To find the area of a circular plate with a given circumference, use the formula A = πr², where A is the area and r is the radius. Set up the equation for the circumference of the plate and solve for the radius. Then, plug the radius into the formula for the area. This gives the area as 69.07 inches².

Explanation:

To find the area of a circular plate, we can use the formula A = πr², where A is the area and r is the radius. In this case, the circumference of the plate is given as 29.5 inches. We know that the circumference of a circle is equal to 2πr, so we can set up the equation 29.5 = 2πr to solve for the radius.

Dividing both sides of the equation by 2π, we get r = 29.5 / (2π). Using the value of π as 3.14, we can calculate the radius as r ≈ 4.69 inches. Now we can plug this value into the formula for the area: A = 3.14 × (4.69)². Evaluating this expression gives us the area of the circular plate as A ≈ 69.07 inches².

Related Questions

a plane can travel 480 miles per hour with the wind and 440 miles per hour Against the Wind find the speed of the wind and the speed of the plane in still air

Answers

wind speed = x

planes speed with wind: 480-x
planes speed against wind: 440+x
 set them to equal and solve for x ( wind speed)

480-x = 440 +x

add x to each side:

480 = 440 +2x ( x+x=2x)

480 = 440 +2x
 subtract 440 from each side:

40 = 2x

divide both sides by 2
x = 40/2
x = 20 

wind speed = 20 miles per hour

speed of plane in still air = 480-20 = 460 miles per hour

Final answer:

The speed of the plane in still air is 460 miles per hour, and the speed of the wind is 20 miles per hour, found by setting up equations using the given speeds with and against the wind and solving them.

Explanation:

The question requires us to find the speed of the wind and the speed of the plane in still air based on the given speeds of the plane traveling with and against the wind. The speed of the plane with the wind is 480 miles per hour, and against the wind is 440 miles per hour. We can use these values to set up two equations:

The plane's speed in still air plus the wind's speed equals 480 mph.

The plane's speed in still air minus the wind's speed equals 440 mph.

Let's denote P as the plane's speed in still air and W as the wind's speed. We can establish two equations based on the aforementioned points:

1. P + W = 480

2. P - W = 440

To find P and W, we add the two equations together:

(P + W) + (P - W) = 480 + 440

2P = 920

P = 920 / 2

P = 460 mph

Now that we have the plane's speed in still air, we can find the wind's speed using either of the original equations:

460 + W = 480

W = 480 - 460

W = 20 mph

Therefore, the speed of the plane in still air is 460 miles per hour and the speed of the wind is 20 miles per hour.

Please answer and explain

Answers

TOP QUESTION:
a= one leg
b= other leg
c= hypotenuse

a^2 + b^2= c^2
plug in known numbers

(3)^2 + (2)^2= c^2

9 + 4= c^2

13= c^2
take the square root of both sides

√13= c
13 is not a perfect square


ANSWER: (C) √13 cm
________________

BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse

a^2 + b^2= c^2
plug in known numbers

(6)^2 + (10)^2= c^2

36 + 100= c^2

136= c^2
take square root of both sides

√136= c
136 is not a perfect square


ANSWER: (D) √136 ft

Hope this helps! :)

You visit two websites about inventions of the 21st century. One has .edu in the URL address and the other has .com. Which site is more likely to be credible and why? (6 points) The .edu site is more likely to be credible because all .com sites are trying to sell you something. The .edu site is more likely to be credible because its domain is a university or other school type. The .com site is more likely to be credible because all .edu sites are personal college student blogs. The .com site is more likely to be credible because its owners review all the content before publishing.

Answers

The .edu site is more likely to be credible because its domain is a university or other school type
The .edu site will more likely be better

SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2

Answers

we have that
the expression (7*m³*n)²

we know that
(7*m³* n)²---------> (7)²*(m³)²* (n)²-----> (7²)*[(m)^(2*3)]* (n²)----> 49*[m^6]*n²

the answer is the option
D. 49m6n2

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?

Answers

f(x + q) - left q units
f(x - q) - right q units
f(x) + q - up q units
f(x) - q - down q units
-f(x) - symmetry with respect to the x--xaxis
f(-x) - symmetry with respect to the y-axis

y = - x² + 3 = -(x² - 3)

3 units down and next symmetry with respect to the x axis.

Look at the picture.



find the measure of the angle

Answers

The given angle is 55 degree. Thus the angle asked is 55 + 90 = 145 degree angle.

Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle

Measure of Bigger Angle =Measure of Angle to be Found

Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle

The smaller Angle signifies one quadrant

So, Measure of Smaller Angle = 90°

Measure of Angle to be found=90°+Measure of given Angle

Measure of Angle to be found=90°+55°

Measure of Angle to be found=145°

Answer:145°

a day care center charges a $75 enrollment fee plus $100 per week which of the following represents the cost of sending a child to daycare for 14 weeks?

Answers

Answer:

cost of sending a child to daycare for 14 weeks is $1475

Step-by-step explanation:

a day care center charges a $75 enrollment fee plus $100 per week

LEt x be the number of weeks

cost of sending a child to day care = 100x + 75

To find the cost for 14 weeks, we plug in 14 for x

cost = 100(14) + 75= 1400+75 = 1475

cost of sending a child to daycare for 14 weeks is $1475

given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7

Answers

Answer: Choice A) 0.8

========================================================

Work Shown:

mean = mu = 7.6
standard deviation = sigma = 3.1
x = 10 is the raw score

Use those values to find the z score
z = (x-mu)/sigma
z = (10-7.6)/3.1
z = 2.4/3.1
z = 0.7741935483871
z = 0.8 (approximate answer to the nearest tenth, ie one decimal place)

Find the values of x and y that make these triangles congruent by the HL theorem 2x-1 y-1

Answers

Answer
2x−y−1Use CYmath is give you all math question that you need

The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:

Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13

Which of these is most likely the next step?

3x = 16
3x = 10
3x = 39
3x = 3

Answers

3x = 16 you need to get 3x by itself so you can divide so add the 3 to the other side
3x - 3 = 13

The next step will be to add 3 to both sides:
3x - 3 + 3 = 13 + 3

⇒  3x = 16

Answer: 3x = 16


What is the value of x?
sin(x+21)°=cos(2x+21)°

Answers

we know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°

in this problem
(x+21)+(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16°

What is the value of 2x3squared +x2squared when x = 3

Answers

I suspect this is what you mean, if let me know
2x(3)^2+x(2)^2
2(3)(9)+3(4)
54+12=66

I REALLY NEED HELP!!!!!!!!!!

Answers

Circle Circumference= 2πr

C= 2(3.14)(24)
C= (6.28)(24)
C= 150.72 inches


ANSWER: If we round up, the estimated circumference is 151 inches.

Hope this helps! :)
The answer is 151 in. because the formula for circumference is
[tex]\pi \times d[/tex]
where d is diamter. The problem provides the radius. So, to find the radius, all you have to do is multiply it by 2, since a radius is half of the diameter. Then, multiply it by 3.14. You will get 150.72. This rounds to 151.

You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?

Answers

I think the answer to this problem is the width is 10 and the length is 25 because of this of this equation  2w^2+5w-250=0 
Then..
   (2w+25)*(w-10)=0
and you get the answer of w=10 and l=25

What number should be subtracted from both sides of the following equation to solve for g?

g + 18.75 = 25

43.75
25
18.75
6.25

Answers

18.75 should be subtracted to get the variable (g) by itself and it is subtraction because you do the opposite 

Answer:

18.75

Step-by-step explanation:

Cjhoward1, it isn't nice to call someone a nerd. I mean, sure a nerd is a smart person who really cares about school but it has a bad connotation and isn't the nicest thing to say to someone. If you meant it in a good way, then please accept my apologies but other ways I think you should think twice before you  say something like that. And if you did think twice maybe you should think 3 times before you say something. It can be really mean. You may not notice it but it can hurt peoples feelings. Anyway. Have a good day!

What unit would you use to measure a kite string

Answers

inchesssssssssssssssssssssssssssssssssssssssss

Final answer:

To measure a kite string, one would typically use meters or feet, and the most suitable tool for this measurement would be a tape measure.

Explanation:

The unit you would use to measure a kite string is typically a unit of length. When we discuss the measurement of length for everyday objects such as kite strings, we commonly use units like meters, centimeters, or feet. For a kite string, which can be quite long, meters or feet are the most practical units. You would tie the string to the mass (kite) at one end and to the handle or spool at the other, and measure the length, L, of the string. The tool most suitable for measuring such lengths would be a tape measure, as it can be extended along the length of the string and is flexible enough to be used in various situations.

Please help very urgent

4.5< √b <4.9
What is the possible value of b

Answers

A possible value could be 21.16

i need help please !!

Answers

What do you need help with?
um what do u need help with?

Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)

Answers

Hello!

Because we have been asked to write the equation of a line, we will need to give the answer in slope-intercept form. Slope-intercept form uses the following formula:

y = mx + b

In the above formula, M represents the slope while B represents the y-intercept. We are asked to write the equation of a horizontal line that passes through the given point. Horizontal lines have a slope of zero (0), so we’ll begin by inserting this value into the slope-intercept formula:

y = (0)x + b

Now simplify the right side of the equation:

y = b

Now we must find the y-intercept of the line in question. We are given that it passes through point (0,3). We know that any point taking the form (0,y) lies on the y-axis and, consequently, can be classified as a y-intercept. Therefore, the y-intercept of the given line must be 3. Insert this value into the simplified equation above:

y = b
y = (3)

We have now proven that the equation of the given line is (y = 3).

I hope this helps!

Can you solve 5a please greatly appreciated.

Answers

Part I)
 The module of vector AB is given by:
 lABl = root ((- 3) ^ 2 + (4) ^ 2)
 lABl = root (9 + 16)
 lABl = root (25)
 lABl = 5

 Part (ii)
 The module of the EF vector is given by:
 lEFl = root ((5) ^ 2 + (e) ^ 2)
 We have to:
 lEFl = 3lABl
 Thus:
 root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
 root ((5) ^ 2 + (e) ^ 2) = 15
 Clearing e have:
 (5) ^ 2 + (e) ^ 2 = 15 ^ 2
 (e) ^ 2 = 15 ^ 2 - 5 ^ 2
 e = root (200)
 e = root (2 * 100)
 e = 10 * root (2)

The hypotenuse of a right triangle is 12, and one of the legs is 4. Find the length of the missing length to the nearest hundred. Please help! ☺️ 25 points!

Answers

Use the Pythagorean theorem:

If c is the hypotenuse of right triangle and a and b are of the legs then:

a² + b² = c².

We have:
a = 4; c= 12

substitute

[tex]4^2+b^2=12^2\\\\16+b^2=144\ \ \ |-16\\\\b^2=128\to b=\sqrt{128}\\\\b=\sqrt{64\cdot2}\\\\b=\sqrt{64}\cdot\sqrt2\\\\\boxed{b=8\sqrt2\approx11.31}[/tex]

What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.

Answers

To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:

{17, 23, 30, 40, 44, 44}

Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.

What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:

[tex]30+40=70[/tex]

[tex] \frac{70}{2}=35 [/tex]

So now we know that the median of the set of data is 35.

Answer:

35

Step-by-step explanation:

Consider the following system of equations:

2x + 3y = 45
x + y =10

What is the x-value of the solution for this system?

Answers

x=3 and the work to get the answer is attached.

What is the Value of Y?

Answers

The possible answer for y is 72 hope this helps
All angles in a triangle add to 180°
Since we know that one of the angles is 72° and the other two angles are the same..

We can subtract 72° from 180°
180°-72°=108°
Divide the result by 2
108°/2=54°

So the best answer would be B.54°

I hope this helps :)

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

x= # 3-point questions
y= # 5-point questions


QUANTITY EQUATION:
x + y= 24

VALUE EQUATION:
3x + 5y= 100

If we solved these two equations by elimination or substitution, we find x and y. I'm going to solve by elimination.


STEP 1:
multiply the quantity equation by -3 to eliminate the x variable and solve for y.

-3(x + y)= -3(24)
-3x - 3y= -72


STEP 2:
add the value equation and the step 1 equation together to eliminate the x term and solve for y.

3x + 5y= 100
-3x - 3y= -72
the x term is eliminated

2y= 28
divide both sides by 2

y= 14 5-point questions


STEP 3:
substitute the y value into either original equation

x + y= 24

x + 14= 24
subtract both sides by 14

x= 10 3-point questions



ANSWER: The test contains 10 3-point questions and 14 5-point questions.

Hope this helps! :)

Whenever you see ______ it is a blank spot where I need to fill in information.


An employee at a state park has 43 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 4 rows.

Complete the description of two different ways she can arrange the photos.

She can arrange the photos as
______ rows of 10 photos and 1 row of ______
photos or arrange the photos as ______
rows of 8 photos and 1 row of ______
photos.

Answers

she can arrange the photos as 4 rows of 10 photos and 1 row of 3 photos or arrange the photos as 5 rows of 8 photos and 1 row of 3 photos.

What is the area of triangle ABC

Answers

The answer for this is B

Answer:

8.4

Step-by-step explanation:

1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a standard deck that is either a jack or a club. Write out the formula and show your work. Write the final answer as a fraction in simplified form. (10 points)

Bonus question for extra credit: What is the probability of drawing two cards from a deck, without replacing the first card, and either getting two red cards or two aces? Hint: the probability of getting two aces is the probability of the first card being an ace, times the probability of the second card being a different ace. Show your work, and write your answer as a fraction in reduced form.

Answers

A standard deck has 52 cards.
A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221

A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?

Answers

Answer:

640/(180 - x)

Step-by-step explanation:

The expression for time it takes for the plane to travel the 640 miles is 640/ (180- x).

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let the speed of the wind be x

Speed of the plane is 180 mph

When plane flew with wind , Speed = (180+x)

When plane flew against the wind , Speed=(180-x)

Since we are given that A plane can travel 640 miles against the wind .

So, Time= Distance / speed

Time= 640/ (180 - x)

Hence, time it takes for the plane to travel the 640 miles is 640/ (180- x)

Learn more about Algebra here:

https://brainly.com/question/8036642

#SPJ2

Expand the binomial (2x + y^2)^5.



The fourth term in the expansion of the binomial (2x + y^2)^5 is _____

Answers

(2x + y^2)^5 = (2x)∧5 + 5(2x)∧4×y² + 10(2x)∧3×y∧4 + 10(2x)²×y∧6 + 5(2x)y∧8 +y∧10
  
  = 32x∧5 +80x∧4y² + 80x∧3y∧4 + 40x²y∧6 + 10xy∧8 + y∧10

The fourth term of the binomial expansion (2x + y^2)^5 is 40x²y∧6
Other Questions
Law of cosines: a2 = b2 + c2 2bccos(A). What is the measure of S to the nearest whole degree? Trail mix is sold in 1 pound bags Mary will buy some trail mix And repackage it so that each of the 15 members of her hiking club gets 2/5 Pound bag how many 1 pound bags of trail mix should marry by to have a nut trail mix without leftovers When fractions share the same number on the bottom they have a? The Nuremberg Trials lasted for _____ year(s), and _____ German high officials were sentenced to death.1} 1, 2, 32} 11, 12, 10 What is true about a writers voice? A. It is always serious in poems. B. It refers to the length of the work. C. It can change in different works by the same writer. D. It remains the same across all works of literature. If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12 which of the fallowing was not a disorder in the karyotype activity? A-Turner syndrome B-Down syndrome C-Klinefelters syndrome D-Diabetic syndrome George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate? In 1928 I became the first woman to fly alone across the Atlantic Ocean I became know throughout the world and was also a writer and lecture who am I Plant cells have chloroplasts and mitochondria to perform the processes of photosynthesis and respiration respectively. Where do these processes take place in Salmonella bacteria? Let f = ay i + bz j + cx k where a, b, and c are positive constants. let c be the triangle obtained by tracing out the path from (7, 0, 0) to (7, 0, 2) to (7, 6, 2) to (7, 0, 0). find f drc. Let there be then no coercion established in society, and the common law of gravity prevailing, the sexes will fall into their proper places. And, now that more equitable laws are forming your citizens, marriage may become more sacred: your young men may choose wives from motives of affection, and your maidens allow love to root out vanity. What is the central idea of the excerpt? A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. fresh water enters at a rate of 2 gallons per minute and a well-stirred mixture is pumped out at the rate of 1 gallon per minute. compute the amount of salt (in pounds) in the tank at the first moment when the tank is filled. After all expenses are subtracted, the amount of money left after a sale is called a: -share -profit -loss -bankruptcy -transaction What policies did Nixon employ to end the war? Which is not true of anecdotal stories? Subtract. Write your answer in simplest form. 5 1/2 - 1 2/7 I've been feeling nauseous and lightheaded all day what do i do Kim's family spends $62.50 on a dinner they leave an 18% tip how much is their total bill after Please help is the answers is 6