What is the area of a circle with a diameter of 16.2 in.?
Use 3.14 for pi and round your final answer to the nearest hundredth.
Enter your answer in the box.
In 2

What Is The Area Of A Circle With A Diameter Of 16.2 In.?Use 3.14 For Pi And Round Your Final Answer

Answers

Answer 1

Answer

206.02

Step-by-step explanation:

r=d/2

=16.2/2=8.1

3.12*8.1*8.1=206.0154

to the nearest hundred=206.02

Answer 2
Final answer:

The area of the circle with a diameter of 16.2 inches is approximately 206.24 square inches.

Explanation:

The area of a circle can be found using the formula A = πr^2, where π represents the mathematical constant pi and r is the radius of the circle. Since the diameter of the circle is given as 16.2 inches, we can find the radius by dividing the diameter by 2: r = 16.2 / 2 = 8.1 inches. Now we can plug in this value into the formula to find the area: A = 3.14 * (8.1)^2 = 206.2446 square inches. Rounding this to the nearest hundredth, the area of the circle is approximately 206.24 square inches.

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Related Questions

Question Progress
Homework Progress
a) Complete the table of values for y = x2 - 4x
1
xuo1 2 3 4 5
b) Which of the three curves drawn
matches the graph of y = x2 - 4x ?

Answers

Step-by-step explanation:

X Y

-5 45

-4. 32

-3. 21

-2. 12

-1. 5

0 0

1. -3

2. -4

3. -3

4 0

5 5

Final answer:

To complete the table of values for y = x^2 - 4x, substitute the given values of x into the equation. To determine the matching graph, compare the shape, direction, and intercepts of the given curves to y = x^2 - 4x.

Explanation:

For part a), you need to substitute the given values of x into the equation y = x^2 - 4x to find the corresponding values of y.

So for x = 1, y = (1)^2 - 4(1) = 1 - 4 = -3.

For x = 2, y = (2)^2 - 4(2) = 4 - 8 = -4.

Similarly, you can find the values of y for the other given values of x.

For part b), look at the three curves drawn and find the one that matches the graph of y = x^2 - 4x. Compare the shape, direction, and intercepts of the graph to determine the correct curve.

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In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation
can be used to determine if the triangle is a right triangle?
a2=c2
2a2=c2
a4=c2
2a=c

Answers

Answer:

b

Step-by-step explanation:

bc both legs have same measurement.

Answer:B

Step-by-step explanation:

Did the test

Complete the table for the given rule y=5x

Answers

Answer:

1

.8

.6

Step-by-step explanation:

A segment XD is drawn in rectangle QUAD as shown

below.

What are the measures of ZXDQ and ZUXD ?

mZXD

m2 UXD =

Answers

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

A segment XD is drawn in rectangle QUAD as shown  below.

What are the measures of ∠XDQ and ∠UXD ?

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> ∠UXD = 180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

What type of triangle has three equal angles?

Answers

Answer:

Equilateral Triangle Has Three equal angles because it sides are equal then opposite angle are also equal.

Thank You ☺️ ☺️.

Make It Brainlist Answer....

Equilateral triangle has three equal angles.

there are three types of triangle.They are scalene triangle,isosceles raingle and equilateral triangle.Equilateral triangles are also the types of triangle which have three equal sides.

In which of the following was E.W. Marland least successful?

Answers

U have a picture of the question?

Answer:

In cooperating with government

Step-by-step explanation:

Heavy borrowing by Marland led to financiers obtaining control of stock and ownership of Marland Oil, which then became Continental Oil Company, or Conoco. Marland continued to work for his former company but was made destitute by the Great Depression. He lost his oil empire, attributing his economic woes to lack of government regulation over banking.

i just had this question on an assignment, hope this helps.

a shape is randomly selected from the following quadrilaterals: parallelogram, rhomus, trapaziod, rectangle, square. what is probability that it has 4 congruent sides

Answers

Answer:

Step-by-step explanation:

So, it's hard to know if the sides on the parallelogram are equal or not, but both a rhombus and square have four congruent sides, but only a square has four right angles.

So 1/2 shapes fit both parameters. Therefore there is a 50% probability it has four right angles, given that it has four congruent sides. 

If 45% of the class are boys what percent is girls

Answers

Answer:

55%

Step-by-step explanation:

100% - 45% = 55%

Step-by-step explanation:

We know that

Total percentage = 100%

Percentage of boys = 45%

Percentage of girls = ( 100 - 45)%

=55%

The ratio of males to females in a Math 092 class is 2:3.

How many males are there in a class with 24 females?

Answers

Answer:

16

Step-by-step explanation:

2:3=x:24

2/3=x/24

(24)(2/3)=x

x=16

Solve (t - 3)2 = 6. The arrow is at a height of 48 ft after approximately _ s
and after _s​

Answers

Answer:

The arrow is at a height of 48 ft after approximately 0.55 s  and after 5.45 s​

Step-by-step explanation:

The following information is missing:

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?

If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:

48 = 96*t - 16*t²

16*t² - 96*t + 48 = 0

16*(t² - 6*t + 3) = 0

t² - 6*t + 3 = 0

t² - 6*t + 3 + 6 = 0 + 6

t² - 6*t + 9 = 6

(t - 3)² = 6

t - 3 = √6

t - 3 = 2.45; t = 2.45 + 3; t = 5.45

or

t - 3 = -2.45; t = -2.45 + 3; t = 0.55

Answer: 0.55 & 5.45

Step-by-step explanation:

A) -5,2
B) 2,-5
C) no solution
D)all real number

Answers

Answer:

(-5,2)

Step-by-step explanation:

The solution to the system is where the two lines cross

x = -5

y = 2

Answer:

Option A, (-5, 2)

Step-by-step explanation:

Step 1:  Determine the solution

The solution is where both of the lines intersect.  In this graph, they intersect at the x-value -5 and at a y-value of 2.

Answer:  Option A, (-5, 2)

-8-(-2)=−8−(−2)=


also im not sure if this is pre calc. , regular calc. or algebra

Answers

Two negatives next to each other make a positive. -(-2) = 2. So -8 + 2 = -6.

Suppose that ​$17,183 is invested at an interest rate of 5.4​% per​ year, compounded continuously. ​a) Find the exponential function that describes the amount in the account after time​ t, in years. ​b) What is the balance after 1​ year? 2​ years? 5​ years? 10​ years? ​c) What is the doubling​ time?

Answers

Answer:

Total = Principal * e ^ (rate * years)

Total = 17,183 * 2.718281828459 ^ (.054 * years)

After 1 year = 18,136.39

After 2 years = 19,142.68

After 5 years = 22,509.12

After 10 years = 29,486.15

We'll use this formula to find the doubling time:

Years = ln (total / principal) / rate

we'll use 200 for total and 100 for principal

Years = ln (200 / 100) / rate

Years = ln (2) / .054

Years = 0.69314718056 / .054

Years = 12.8360588993  Years Doubling Time

Step-by-step explanation:

Final answer:

The question is about continuous compound interest. An initial amount of $17,183 is invested with a 5.4% annual interest rate. An exponential function depicts the amount over time, you find the balance by substituting the values of time into the function, and the doubling time is calculated to be approximately 12.8 years.

Explanation:

The subject matter of this question deals with the concept of continuous compound interest in Mathematics. No additional deposits are made, only the principal amount is growing over time at a continuous compound interest. The formula for the balance in a continuously compounding account is given by P(t) = P0*e^(rt), where P0=initial balance, r=annual interest rate (as a decimal), t=time in years, and e=approximately 2.71828. In this case, P0 = $17,183 and r = 5.4% = 0.054.

a) The exponential function that describes the amount in the account after time t is: P(t) = $17,183*e^(0.054t)

b) Using this function, you can substitute the values of t to find the balance after each year, for example, for 1 year, it's P(1) = $17,183*e^(0.054*1) and similarly for 2, 5, and 10 years.

c) Doubling time can be obtained by equating P(t) = 2 * P0, which can be solved to obtain t = ln(2) / r (natural logarithm of 2 divided by the annual interest rate). Hence, it would approximately be 12.8 years.

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Which expression correctly shows x6+2x3+1 factored completely over the integers?

a) (x3+1)2
b) (x+1)2(x2−x+1)2
c) (x+1)(x2−x+1)
d) (x2+1)(x4−x2+1)

Answers

Answer:

Option a.

Step-by-step explanation:

The given expression is

[tex]x^6+2x^3+1[/tex]

Splitting the middle term, it can be rewritten as

[tex]x^6+x^3+x^3+1[/tex]

[tex](x^6+x^3)+(x^3+1)[/tex]

Taking out GCF fro each parenthesis.

[tex]x^3(x^3+1)+1(x^3+1)[/tex]

[tex](x^3+1)(x^3+1)[/tex]

[tex](x^3+1)^2[/tex]

Therefore, the correct option is a.

Reflect shape A in the y axis

Answers

Answer: The shape would be on the same numbers but all positive and would just be looking the to the right.

Step-by-step explanation: So put it on the right side of the line going up and make it look the oppisite way it is now. on the same numbers but positive.

Reflection of an L-shaped object with respect to the y-axis is a horizontal flip resulting in a mirror image with opposite signs

When an L-shaped object is reflected with respect to the y-axis,

It means that every point on the object is reflected across the line that divides the object into two halves, with each half on either side of the y-axis.

This reflection results in the object being flipped horizontally.

The new orientation of the object is a mirror image of the original but with opposite signs.

The reflection of an L-shaped object with respect to the y-axis is an important concept in geometry and is often used in practical applications such as graphic design and architecture.

So the reflection of Figure A in the y-axis is A' which is attached below.

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i need help with the equation 100 − 5n

Answers

Answer:

55/3 its a fraction hope this helps

Step-by-step explanation:

Your answer to this question is a fraction: 55/3

Add polynomials (intro)
Add.
Your answer should be an expanded polynomial in standard form.
(7a3 - 2a - 2)+(-5a + 3) =
Stuck? Watch a video or use a hint.
V2

Answers

Hope this helps you:)

what’s the length of the mid segment of a trapezoid with bases of length 16 and 24

Answers

Answer:

20

Step-by-step explanation:

The midsegment of a trapezoid is calculated as

[tex]\frac{sumofbases}{2}[/tex] = [tex]\frac{16+24}{2}[/tex] = [tex]\frac{40}{2}[/tex] = 20

Final answer:

The length of the mid-segment of a trapezoid with bases of length 16 and 24 is 20 units.

Explanation:

The length of the mid-segment of a trapezoid is the average of the lengths of the two bases. To calculate it, you add the lengths of the bases and then divide by 2. Since the bases of the trapezoid in question have lengths of 16 and 24, you would perform the following calculation:

(16 + 24) / 2 = 40 / 2 = 20

Therefore, the length of the mid-segment is 20 units.

Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.


Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?





Answers

Answer:

The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.

Step-by-step explanation:

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer yes but only for c2 if we area adding.

This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.

and c2- b2 = a2 works the same as c2 -a2 = b2.

None of the above formula finds the area, for the area we would need to multiply to find the height.

A = 1/2 x a x b

We have a different understanding to area

The area of a triangle is 1/2 given by the equation:

AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b

Eg)

Given: Measurements of A + B In attachment picture.

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:

AΔ=(1/2)∗3∗4=6cm2

So to find area we multiply A by 1/2 and multiply that product by the length of B (base).

X-6
Use the expression X+4
How many excluded value(s) are there?

Answers

Answer:

There is 1 excluded value

The excluded value is -4

Step-by-step explanation:

This is correct on edge

Answer:

last one is -3 and -2

Step-by-step explanation:

on edge

Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, complete a simplified expression to represent the number of members this year.

Answers

I think there is a mistake in this problem

Answer: a simplified expression to represent the number of members this year is: x = 1.15 * (m)

Step-by-step explanation:

For this case what you can do is the following rule of three:

m ---> 100%

x ----> 115%

Clearing the value of x we have:

x = (115/100) * (m)

x = 1.15 * (m)

The cereal box shown below is a rectangular prism. the height is 25, the length is 15, the width is 4. find the surface area of the cereal box.

Answers

Answer:

1070 (no unit of measurement is given)

Step-by-step explanation:

What we know:

height = 25

length = 15

width = 4

surface area formula: 2(wl+hl+hw)

w = width l = length h = height

2·(4·15+25·15+25·4)=1070

The surface area of the cereal box is 980 square units.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and add them together.

The formula for the surface area of a rectangular prism is:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Substituting the given values, we have:

Surface area = 2(15 x 4) + 2(15 x 25) + 2(4 x 25)

Surface area = 30 + 750 + 200

Surface area = 980 square units

Therefore,

The surface area of the cereal box is 980 square units.

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Construct a linear equation in standard form.

Answers

Answer:

1

2

Step-by-step explanation:

Five cubes are lined up in norder of size to form a solid. the side of each smaller cube is completely touching the side of the adjacent larger cube. The side lengths of the cubes are 1ft , 2ft, 3ft , 4ft, and 5ft. What is the surface area of the solid?.

Answers

Answer:

246 Square Feet

Step-by-step explanation:

The cubes are of side length 1ft , 2ft, 3ft , 4ft, and 5ft in that order.

If the side of each smaller cube is completely touching the side of the adjacent larger cube.

In the first and last cubes, 5 sides out of 6 are visible, so we use the formula [tex]5l^2[/tex] for their surface area.In the 2nd, 3rd and 4th cubes, only 4 sides out of 6 are visible, so we use the formula [tex]4l^2[/tex] for their surface area.

Surface Area of the Solid [tex]= 5(l_1)^2+4(l_2)^2+4(l_3)^2+4(l_4)^2+5(l_5)^2, where \: l_1,l_2,l_3,l_4,l_5[/tex]

are the length of the cubes in that order

Surface Area of the Solid

[tex]= 5(1)^2+4(2)^2+4(3)^2+4(4)^2+5(5^2)\\=5+16+36+64+125\\=246 \:Square\: feet[/tex]

7s + 5 for s =3 evaluate the expression​

Answers

7x3 +5 = 21+5 = 26 it’s just plugging in 3 for the value of s

Answer: 26

Step-by-step explanation: Here, we have the expression 7s + 5 and we want to evaluate the expression when s is equal to 3.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since s is equal to 3,

we have 7(3) + 5.

Notice that I used parentheses around the 3. It's always a good idea to use parentheses when substituting/plugging in numbers for variables.

Solving from here, 7(3) is equal to 21.

So we have 21 + 5 which is equal to 26.

So the value of our expression

when s is equal to 3 is 26.

If 3x = -36 then x = ?

Answers

[tex]3x=-36|:3\\x=-12[/tex]

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

Answer:

-12

Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3

3x/3 = x

-36/3 = -12

x = -12

Can someone please help me with this question please ?

Answers

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

How would one be able to apply algebra to solve a random number problem?

Answers

Algebra can be used to solve a random number problem by considering order of operations.

Step-by-step explanation:

Algebra is one of the broad parts of mathematics, together with number theory, geometry, and mathematical analysis. It is used to represent the  letters and symbols than numbers and quantities.

Algebra is of two types

i.) Elementary algebra  ,   ii.) Abstract algebra

Elementary algebra is used for any study and their applications.

Abstract algebra is used for advanced mathematics by professionals.

The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets.

To solve a random number problem using algebra, understand the problem's context, convert the numbers into usable formats, apply algebraic techniques, and verify the results. For instance, Lisa uses random numbers generated by a calculator to select class members uniquely. These steps help solve such problems efficiently.

Applying Algebra to Solve a Random Number Problem:

To apply algebra to solve a random number problem, follow these steps:

First, understand the context and problem requirements. For example, suppose Lisa needs to select class members using random numbers generated by a calculator.Convert the random numbers into usable groups or categories. In Lisa's case, she reads .94360 as 94, 43, 36, and 60, with each number representing a potential class member.Apply algebraic techniques to manage and convert these numbers appropriately. For example, if you need to sum, multiply, or find an average of these numbers, use algebraic operations like addition or division.Verify your final answer by ensuring it meets all the problem’s criteria and constraints. Since each random number may only contribute one class member, Lisa checks that she selects unique members.

By following these steps, you can solve random number problems efficiently using algebra.

Random numbers can be generated using various tools like tables or calculators, and their manipulation often requires algebraic techniques. Using a combination of these methods allows one to solve real-world problems, such as selecting class members or calculating probabilities.


The mean of 5 numbers is 12. If four of the numbers are 1, 2, 3, 20, what is the last number?

Answers

So the last number is 34.

Hope this will help u...

The last number is 34 because. 1+2+3+20+34= 60 and 60 divided by 5 is 12

The ratio of nickels to dimes that Wade had saved in his bank was 10/13. If total number of nickels and dimes saved was 391, how many of them were dimes?

Answers

Answer:

The answer is 221.

Step-by-step explanation:

It is 221 because you find what number you can multiply both sides of the ratio by to get 391.

If you add both sides, 10 and 13, you get 23.

Divide 391 by 23 and you get 17.

Finally, multiply 13 by 17 and you get 221.

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