The radius of a circle is 10 m. Find its area to the nearest whole number.


I need help rn it’s a final I need it asap

Answers

Answer 1
given:

radius= 10 m

to find:

the area of the given circle.

solution:

[tex]a = \pi {r}^{2} [/tex]

[tex]a = \pi \times {10}^{2} [/tex]

[tex]a = 314.15927 \: {m}^{2} [/tex]

[tex]a = 314 \: {m}^{2} [/tex]

therefore, the area of the given circle is 314 square meters.

Answer 2
Given:r= 10 mNote that:r: radius To find:The area of the given circle to the nearest whole number.Solution:

[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]

In this question raduis is given so we'll simply have to solve.

Let's solve!

The area of a circle is π times the radius squared.

Substitute the values according to the formula.

[tex]a= \pi \times {10}^{2}[/tex]

[tex]a= 314.1592654 \: {m}^{2}[/tex]

Now, we can round off to the nearest whole number.

The value in tenths place is less than 5 so we won't have to round up.

Final answer:

[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]

Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.


Related Questions

Find the value of x 63° (2x + 3)°

Answers

Answer:

x = 20

Step-by-step explanation:

63−3x=3

−3x=−60

x=20

Help! Is my working correct/wrong? If my working is wrong, sorry to trouble you but can you pls correct it?

THANKS IN ADVANCE!!
NONSENSE = REPORT

NO ALGEBRA! PLEASE! THANKS!!!!!​

Answers

Answer:

∠ e = 20°

Step-by-step explanation:

you should have also subtracted 2e from the 360

since UV is a straight line, the angles lying on it sum to 180° , that is

90° + e + 70° = 180°

e + 160° = 180° ( subtract 160° from both sides )

e = 20°

Help with functions!! Thanks!

Answers

Answer:

-2

2

Step-by-step explanation:

just use common sense. what does "local maximum" mean ?

it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.

(a) there is one point in this graph : at x = -2

(b) and that maximum value at that point is y = 2

In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.

Answers

Answer:

The answer is 1230cm square


QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain

Answers

A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.

What is probability?

The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.

The meaning of the saying that the  probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.

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You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]

PLEASE HELP
Which function, g or h, is the inverse function for function f?

Answers

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Evaluate 3 x 2/7 give your answer as a fraction

Answers

[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]

[tex] \huge\frac{6}{7} [/tex]

step by step Explanation :

= 3 × [tex] \huge\frac{2}{7} [/tex]

We have to just multiply 3 with numerator which is 2 and product will be 6 .

= [tex] \huge\frac{6}{7} [/tex]

hope it helps you

Answer:

6/7

Step-by-step explanation:

You multiply 3 by the numerator of the fraction

3 multiplied by 2 is 6

Your answer is 6/7

Fred figured out the volume of the glass is 141.37cm. Show work

Answers

To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

Volume of a Hemisphere

The volume of a hemisphere is given as

[tex]v = \frac{2}{3} * \pi * r^3[/tex]

Data

r = 3cm

Let's substitute the values into the equation and solve.

[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]

Volume of a Cylinder

The formula of volume of a cylinder is

[tex]v = \pi r^2 h[/tex]

data given

h = 3cmr = 3cm

Let's substitute the values into the equation and solve

[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]

Let's add both volumes together so we have the volume of the glass cup

[tex]56.556 + 84.834 = 141.39cm^3[/tex]

The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

Learn more on volume of hemisphere, cylinder here;

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Complete the table above. Also, find the number students that can be chaperoned by 9 teachers.

Answers

2 | 4 | 6

The number of students would be 45

Hi! Emergency. Please answer! I'll mark brainilest. :)))

A triangle has sides of lengths a=37, b=39, c=63 ft.


Find the measures of the 3 angles


Enter your answer as a number; answer should be accurate to 2 decimal places.





Angle A =

°


Angle B =

°


Angle C =

°

Answers

Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day


Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?

Answers

Answer:

write an article for publication in the daily graphic on the topic every school must have a library

Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?

Answers

Answer:

13?

Step-by-step explanation:

idrk best guess. 26 divided by 2= 13.   11-13 + 2

The state of Connecticut is approximated by a rectangle 100 mi by 50 mi.
Hartford is approximately at the center of Connecticut. If a meteor hit the
earth within 200 mi of Hartford, find the probability that the meteor landed in
Connecticut.

Answers

Answer:

  4.0%

Step-by-step explanation:

If we assume that potential impact sites are uniformly distributed over the area, the probability of interest is the ratio of the area of Connecticut to the area of the circle within 200 miles of Hartford.

__

area of circle

The area of a circle with radius 200 miles is ...

  A = πr²

  A = π(200 mi)² = 40000π mi² ≈ 125,664 mi²

area of CT

The area of a rectangle 100 miles by 50 miles is ...

  A = LW

  A = (100 mi)(50 mi) = 5000 mi²

probability

The probability of interest is the ratio of these areas:

  p(impact in CT) = (5000 mi²)/(125664 mi²) ≈ 0.03979

The probability the meteor landed in Connecticut is about 4.0%.

Can I get some help with this?

Answers

hey !
The blank is 2-[tex]\fbox{4}[/tex]
The blank is 6-[tex]\fbox{3}[/tex]
The blank is 0-[tex]\fbox{2}[/tex]

What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions

Answers

Answer:

The arrangements of things following one after another in time

Question 6 (Essay Worth 6 points)
(06.03)
4(2x + 3) + 5y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not presen
write "not present."

Answers

Answer:

A term is a single number or variable, in this case, the number 2.

The sum in this equation would be 4x + 2.

The product is the result of multiplication, in this equation, the result of 5(4x + 2).

The factors are the digits that are being multiplied, in this case, 5 & 4x + 2

The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.

A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.


A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in
cm, of the triangle?

Answers

Answer:

39cm

Step-by-step explanation:

area of square = side^2 =169

side = 13cm

Perimeter of triangle = 3*side

=3 * 13 = 39cm

Answer:

52

Step-by-step explanation:

√169 =13

13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle

You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a number less than 4 and then picking a number greater
than 2?
Write your answer as a percentage.
%

Answers

Answer:

3 is the right answer because it is less than 4 and greater than 2

PLS HELP ME ASAP !!!

Answers

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

To know more about Probability click the link given below.

https://brainly.com/question/11441437

Step-by-step explanation:

hope this helps

Describe the reflection of the figure. A) reflection over the x-axis B) reflection over the y-axis C) reflection over the line y = 4 D) reflection over the line y = −4

Answers

Answer:

A) reflection over the x-axis

Step-by-step explanation:

C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.

Answers

Answer:

A) Right Angle Triangle

B) 25 units²

C) (15 + 5√5) units

Figure Their Length:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between C and A

[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]

Distance between C and T

[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]

Distance between A and T

[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]

Part A:

When drawn on graph, we can identify it is a right angle triangle.

Or use Pythagoras Theorem:

10² + 5² = (5√5)²

125 = 125... Hence it is a right angle triangle confirmed.

Part B:

Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²

Part C:

Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units

The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125​

Answers

The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.

What is the standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation = σ

Size of the sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

The standard error of the mean can be written as,

SE = σ/√n

SE = 2,125/√30

SE = 387.970

Hence, the value of the standard error of the mean is 387.970.

Learn more about Standard Error:

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Is there a way to find all the factor pairs for a big number like 805 quickly

Answers

Answer:

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Step-by-step explanation:

A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.

In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?


3y = x + 20


y=3x−20

y = 3x + 12


y=−32x+3

Answers

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

En el sistema, encontrar el doble de y:
2x + y = 5
x + y = 4

a) 6
b) 4
c) 3
d) 2

Answers

Answer:

y=3

x=1

Step-by-step explanation:

1 by substitution method

2x+y=5 (1)

x+y=4 (2)

find x in eq 2

x=4-y

put the value in eq 1

2x+y=5

2(4-y)+y=5

8-2y+y=5

8-y=5

-y=5-8

-y=-3

y = 3

x=4-y

x=4-3

x=3

hope it helps you

please mark it as brainliest

A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?

Answers

Answer:

10 cm

Step-by-step explanation:

please help me do this question​

Answers

Answer:

[tex]\dfrac{d^2y}{dx^2} = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)[/tex]

Step-by-step explanation:

[tex]\large \boxed{\begin{minipage}{5 cm}\textsf{\underline{Product Rule}}\\\\$ \textsf{When } \:y=uv\\\\\dfrac{dy}{dx}=u\dfrac{dv}{dx}+v \dfrac{du}{dx}$\\\end{minipage}}[/tex]

Given:

[tex]y=e^{3x} \sin(2x)[/tex]

First Derivative

[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]

[tex]\textsf{let } v= \sin(2x) \implies \dfrac{dv}{dx}=2 \cos (2x)[/tex]

Using the Product Rule:

[tex]\begin{aligned}\dfrac{dy}{dx} & =e^{3x}\cdot 2 \cos (2x) + \sin (2x) \cdot 3e^{3x}\\& = 2e^{3x} \cos (2x) + 3e^{3x} \sin (2x)\\& = e^{3x}(2 \cos (2x) + 3 \sin (2x))\end{aligned}[/tex]

Second Derivative

[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]

[tex]\textsf{let } v= 2 \cos (2x)+3 \sin (2x) \implies \dfrac{dv}{dx}=-4 \sin (2x) +6 \cos (2x)[/tex]

Using the Product Rule:

[tex]\begin{aligned}\dfrac{d^2y}{dx^2} & =e^{3x}(-4 \sin (2x) +6 \cos (2x)) +3e^{3x} (2 \cos (2x)+3 \sin (2x))\\& = e^{3x}[-4 \sin (2x) +6 \cos (2x)+6 \cos (2x)+9 \sin (2x)]\\& = e^{3x}[5 \sin (2x) +12 \cos (2x)]\\& = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)\end{aligned}[/tex]

Answer:

[tex] \tt{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x)}[/tex]

Step-by-step explanation:

⠀⠀⠀⠀▩ Question

[tex]y = {e}^{3x} \sin(2x) \\ { \sf{To \: find}} \: \frac{ {d}^{2}y }{d {x}^{2} } [/tex]

⠀⠀⠀⠀■ Solution

First finding dy/dx

[tex] \sf using \: \frac{d}{dx} uv = u \frac{d}{dx} v + v \frac{d}{dx} u \: formula[/tex]

Taking derivative of sin2x and e^3x

[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} } \\ \\ \bold{ \frac{dy}{dx} = {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x}[/tex]

Multiplying

[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \times 2 \cos(2x) + \sin(3x) \times 3 {e}^{3x} }[/tex]

Value of dy/dx

[tex] \bold{ \frac{dy}{dx} = 2 {e}^{3x} \cos(2x) + 3 {e}^{3x} \sin(2x) }[/tex]

Now taking derivative again using same formula as mention in first part, so that to find d²y/dx².

⠀⠀● First solving 2e^3x cos(2x)

[tex] \bold{ 2( {e}^{3x} \frac{d}{dx} \cos(2x) + \cos(2x) \frac{d}{dx} {e}^{3x}) }[/tex]

Taking derivative of cos2x and e^3x

[tex] \bold{2( {e}^{3x} - \sin(2x) \frac{d}{dx} 2x + \cos(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) }[/tex]

⠀⠀● Now solving 3e^3x sin(2x)

[tex] \bold{ 3( {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} )}[/tex]

Now taking derivative of sin 2x and e^3x

[tex] \bold{ 3( {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) }[/tex]

Adding both solution

[tex] \bold{ \frac{ {d}^{2}y }{d {x}^{2} } = - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) + 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) } \\ \\ \bold{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x) }[/tex]

suma is twice as old as her brother. in 6 years time,the sum of their ages will be 39 years.what is her age now?​

Answers

Answer:

18

Step-by-step explanation:

In 6 years, both other their ages will add up to 39. So 12 years back( 6 years for each of them), their combined age will be 27.

Now we have to find the age of Suma. We can find her brother age first.

We can use the equation 2x+x=27

In this equation, x is the age of Suma's brother. 2x + x = 3x.

3x = 27.

27 divided by 3 is 9 so Suma's brother is 9 years old. And since Suma is twice as old. Suma is 18 years old.

Answer:

Suma is 18 years old

Step-by-step explanation:

Let s = Suma's age

Let b = brother's age

Suma is twice as old as her brother:

⇒ s = 2b

In 6 years time, the sum of their ages will be 39 years:

⇒ (s + 6) + (b + 6) = 39

Substitute  s = 2b  into  (s + 6) + (b + 6) = 39  and solve for b:

⇒ (2b + 6) + (b + 6) = 39

⇒ 3b + 12 = 39

⇒ 3b = 27

⇒ b = 9

Substitute found value of b into  s = 2b  and solve for s:

⇒ s = 2(9)

⇒ s = 18

Therefore, Suma is 18 years old and her brother is 9 years old.

Find a time where the hour and minute hand are 40 degrees apart.

Answers

Answer:

At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5

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