Work out the circumference and area of the circular piee of glass needed for the top of a display cabinet which has a diameter of 1.8m. Use #=3.14? Circumference = in m and Area = in m2

Answers

Answer 1

Hello there!

Answer:

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Step-by-step explanation:

We should know 2 important formulas:

Circumference: [tex]l = 2\pi r[/tex]

Area: [tex]S = \pi r^{2}[/tex]

So we need to find the value of r (radius) which equal to a half of diameter:

[tex]r = d/2[/tex]

[tex]r = 1.8/2 = 0.9(m)[/tex]

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]


Related Questions

round to the nearest tenth

Answers

Answer:

A) 1017.9

Step-by-step explanation:

the radius is the bottom line which is 9

The height is the line on the inside which is 12

1/3 x 3.14 x [tex]9^{2}[/tex] x 12= 1017.36

but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9

what is 0.10x10= ?
(i know how to do this but im very stuck on this one)

Answers

the answer is just 1

Answer:

Its 1 because you are moving the digits 1 place to the right

Step-by-step explanation:

A person places $3090 in an investment account earning an annual rate of 3%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.

Answers

Answer:

V=4298.0915\approx 4298.09

V=4298.0915≈4298.09

Step-by-step explanation:

Solve 2 < n +1| ≤ 7. Explain your reasoning and graph
the solution set.

Answers

Let n = the number

The solution set is {x | x > 10}. 2. 5 ≥ 7 + y.

What is the value of N?It's used to refer to the collection of all natural numbers. Positive whole numbers that are not zero make up the natural numbers. N = 1 , 2 , 3 , 4 . By multiplying the integers from 1 to n, the factorial of n is calculated and denoted by the symbol n!. n! = n (n - 1)! is the formula for n factorial. Example: What is9! if8, which is40,320, is?The sample size, or n, is the number of data points. described in Chapter 2 here. in a probability experiment using a binomial model, the total number of trials.Instead of the product n n, which is typically pronounced"n squared," the equivalent exponentiation n2 is used to represent a number's square.

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PLEASE HELP FIND THE SOLUTION IN SLOPE INTERCEPT FORM

Answers

Answer: y= -3/4x+8

Step-by-step explanation:

Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases.

T : P_2 → P_2 defined by

T(p(x)) = p(x) + p'(x)


If T is invertible, use the theorem below to find the inverse of T (attached).

Answers

Answer:

it is invertible

Step-by-step explanation:

Mississipi has the lowest income at 40.6 thousand dollars.Mississippi also has about 207 bacherlors degree per 1000 people what does the linear model estimate for that number of bachelors degrees per 1000 per person for Mississippi based on the median income? How good is this estimate?

Answers

Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.

Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.

Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.

Step-by-step explanation:

Can anyone help me with this question please thank you
Giving brainliest correct answer please

Answers

Answer:

1/216

Step-by-step explanation:

These are independent events because of probability of first event is not affecting the probability of another event .

probability of getting 4 on first try is 1 / 6

probability of getting six on second try is also 1 / 6 and then probability of getting more 6 on next try is again 1/6

so combined probability is 1/6 ×1/6 ×1/6= 1/216


The equation x + c = k has a solution of x = 2. Both cand k are rational numbers.
Select all the statements that must be true in all cases.
cis 2 greater than k.
cand k must be whole numbers.
The solution x = 2 is the only solution.
If c is a whole number, k is also a whole number.



I need help ASAP PLEASE

Answers

Chow chill it’s fine

Answer:

The solution x = 2 is the only solution

If c is a whole number, k is also a whole number.

25 points need HELP !!
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where T = tails and H = heads.

Flip 1 2 3 4 5 6 7 8 9 10
Result T T T H T T T H T T
What is the difference between the theoretical and experimental probabilities of getting heads?

A. 0.5
B. 0.0
C. 0.3
D. 0.1

Answers

Answer:

c 0.3

Step-by-step explanation:

there is are 50/50 chance when a coin is flipped but according to the data it is 80/20 so if to take 80-50=30 so it is a 0.3  change in probability.

The difference between the theoretical and experimental probabilities of getting heads is 0.3.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

A fair, unbiased coin was flipped 10 times.

The result is shown in the table.

Total number of outcomes = 10

For the experimental probability,

Number of heads = 2

Experimental Probability of getting heads, E = 2/10 = 0.2

For the theoretical probability,

Theoretical Probability of getting heads, T = 1/2 = 0.5

Difference = 0.5 - 0.2 = 0.3

Hence the difference is 0.3.

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Evaluate the expression 8 + 18 ÷ 3 − 7. (4 points) Group of answer choices 5 7 9 10

Answers

Step-by-step explanation:

26÷3-7

26-7÷3

21÷3

7 Answer

hope it helps

Answer:

the answer is 7

Step-by-step explanation:

One side of a triangle is 7 feet longer than the second side. The third side is 2 feet longer than the second side. The perimeter of a triangle is 42 feet. Find the length of each side.

Answers

Answer: second 11

first 18

Second 13

Step-by-step explanation:

A shopper buys cat food in bags of 33​ lbs. Her cat eats \frac{3}{4}
4
3

​ lb each week. How many weeks does one bag last?

Answers

Total of 44 weeks does one bag last.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator

Total amount of cat food = 33 lbs in one bag

Amount of food cat eats each week = 3/4 lb = 0.75 lb

Number of weeks one bag of cat food last = 33 / 0.75

                                                                       = 44

Hence one bag of cat food will last for 44 weeks.

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Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.

Answers

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

What does rate of change mean?

An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

Surafce area of a prism is equal to

2(Area of base) + (perimeter of base)(height)

2b^2+4bh

[tex]S=2b^2+4bh[/tex]

[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]

It is given that db/dt= -7 and dh/dt -=10.

At a particular instant b= 4km, h=9 km.

Now we will substitute the values in this formula:

[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

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Samantha walks a total of 2/3 mile to get to and from school each day . Find the total number of miles that Samantha walked to and from school over 5 days

Answers

Answer:

3 1/3 miles

Step-by-step explanation:

If Samantha walks 2/3 miles everyday and they are asking for 5 days

2/3miles · 5days = 3 1/3 or 10/3 miles

3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters​

Answers

C. 360 Square meters

........

The total area is 360 square meter.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given:

We get Three Rectangle

First Rectangle:

length = 12 m

width = 16 m

So, Area = 12 x 16 = 192 square meter.

Second Rectangle:

length = 8 m

width = 12 m

So, Area = 8 x 12 = 96 square meter.

Third Rectangle:

length = 12 m

width = 6 m

So, Area = 12 x 6 = 72 square meter.

Thus, the total area = 192 + 96+ 72 = 360 square meter.

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how do i get the answer on pc"?

Answers

Answer:

I. D. K. what is the question

Step-by-step explanation:

Just copy it down lol

Victoria invests $200 into an account with a 2.6% interest rate that is compounded semiannually.
How much money will she have in this account if she keeps it for 10 years?
Round your answer to the nearest dollar,

Answers

Answer:

A = $258.95

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.6/100

r = 0.026 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 200.00(1 + 0.026/2)(2)(10)

A = 200.00(1 + 0.013)(20)

A = $258.95

How do you write 0.00000000090 in scientific notation?

Answers

Answer:

Step-by-step explanation:

9.0 × 10-10 I think.....

Solve for x.
x = [?]
4x - 16
2x + 16,
,

Answers

1. 14
2.14
Because 4x-16
Then subtract 4 on each side it will equal 14

The length of an arc of a circle is one-eighth the circumference of the circle.Find the angle subtended by this arc at the centre if the radius of the circle is 14cm​

Answers

Given:

The radius of the circle is 14 cm.

The length of an arc of a circle is one-eighth the circumference of the circle.

To find:

The angle subtended by this arc at the center.

Solution:

Formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]           ...(i)

Where, r is the radius and [tex]\theta [/tex] is the central angle.

The length of an arc of a circle is one-eighth the circumference of the circle.

[tex]s=\dfrac{1}{8}(2\pi r)[/tex]            ...(ii)

Where, [tex]2\pi r[/tex] is the circumference of the circle.

Using (i) and (ii), we get

[tex]2\pi r\times \dfrac{\theta }{360^\circ}=\dfrac{1}{8}(2\pi r)[/tex]

[tex]\dfrac{\theta }{360^\circ}=\dfrac{1}{8}[/tex]

[tex]\theta =\dfrac{360^\circ}{8}[/tex]

[tex]\theta =45^\circ[/tex]

Therefore, the central angle is 45 degrees.

Wendy Wilson planned to bake a triple recipe of chocolate chip cookies for her office party. If the recipe calls for 2 3/4 cups of flour, how many cups will she need? Need answer now!

Answers

Answer: 8 1/4 cups

Step-by-step explanation: All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.

Please help!! Thank you!!

Answers

A perfect square trinominal is the square of a binomial. Perfect square trinomials are in the form
a^2 + 2ab + b^2
or
a^2 - 2ab + b^2

Looking at the options, first check the leading term is a perfect square. They all are so we can’t eliminate anything. Next we check if the last term is a positive perfect square. The third option is not positive so we can eliminate that one.
Finally we check the center term. The first one does not have a middle term so we can eliminate that one.
The center term must be 2 times the square root of the first times the square root of the last.
The second option - square root of first term is 2m, square root of last term is 3n. 2*2m*3n is 12mn. That is not the middle term so the second option is not right.
The last option - square root of first term is 4x, square root of last term is 3y. 2*4x*3y is 24xy. That is the middle term. So the last option is the correct answer.

HELP ASAP I will give 20 points

Answers

6,623 is the answer

A student says that the​ x-intercept of a line is ​(0,-10,​). Is the student​ correct? Explain.

Answers

Answer:

Yes, the student is correct

Step-by-step explanation:

Given

[tex](0,-10)[/tex]

Required

Does it represent the x intercept

At the x intercept, the value of x is 0.

So, the function [tex](x,y)[/tex] becomes [tex](0,y)[/tex]

[tex](0,-10)[/tex] can be compared to [tex](0,y)[/tex]

Hence, the student is correct

A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many different ways could the committee be made?

Answers

Answer:

10080 ways

Step-by-step explanation:

First we find the amount of combinations of teachers who can be chosen, which is denoted by 10 choose 3 (10 nCr 3), shown below:

10! / (3! * 7!) --> 120

Next to find the amount of combinations of students, you evaluate 9 choose 3(9 nCr 3), shown below:

9! / (3! * 6!) --> 84

To find the total number of combinations, you multiply the teachers combinations by the students combinations:

120 * 84 = 10080

HELP
M Y BRO HE NEEDS HELP

Answers

Answer:

4,2

Step-by-step explanation:

Isosceles mean two sides are same

My Question:

Why were there so many people on this question?

find the value of x in the following figure​

Answers

Answer:

x = 172

Step-by-step explanation:

A circle is 360 degrees

The angles will add to 360 degrees

x/2 + 59 + x/4 + x = 360

Subtract 59 from each side

x/2 + x/4 +x +59-59 = 360 -59

x/2+x/4+x = 301

Combine like terms

2x/4 +x/4 +4x/4 = 301

7/4x = 301

Multiply each side by 4/7 to isolate x

4/7 * 7/4 x = 301 *4/7

x =172

Please someone help me, if you don't know the answer don't comment at all.
Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate it 180 degrees about the origin, and then translate it up 7 units.

Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x-axis, then reflect it across the y-axis, and then translate it up 6 units and left 1 unit.
Part E
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?

Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape?

Part K
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?

Answers

Answer:

Part E

When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.

(5,4) = (5,-4)

Part I

You would add 6 to the y coordinate and subtract 1 from the x coordinate

Part K

Chanels Sequence

Step-by-step explanation:

If your annual salary is $37,350 and your housing budget is 24%, How much is your yearly housing cost?

Answers

Answer:

$8964

Step-by-step explanation:

Annual salary is $37350

Housing budget is 24%

Housing cost:

$37350*24/100 = $8964

Answer:

$8,964

Step-by-step explanation:

Given:

Annual salary = $37,350Housing budget = 24%

To find the yearly housing cost, calculate 24% of the annual salary:

[tex]\begin{aligned}\implies \sf Yearly\:housing\:cost & = \sf 24\% \:of\:37350 \\\\& = \sf \dfrac{24}{100} \cdot 37350\\\\& = \sf \dfrac{24 \cdot 37350}{100}\\\\& = \sf \dfrac{896400}{100}\\\\& = \sf 8964\end{aligned}[/tex]

Therefore, the yearly housing cost is $8,964.

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