This semicircle has a radius of 8cm . What is the area of this figure?​

This Semicircle Has A Radius Of 8cm . What Is The Area Of This Figure?

Answers

Answer 1

Answer:

100.48 cm² (Option 2)

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Area_{(semicircle)} = \dfrac{1}{2}( \pi {r}^{2} ) }}}[/tex]

Where,

r is the radius of the semicircle. Here, the radius is 8 cm .

We will take the value of π as 3.14 .

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{2} \times 3.14 \times ({8})^{2} }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{ \cancel2} \times 3.14 \times \cancel{64} }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 3.14 \times 32 }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 100.48 }}}[/tex]

[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Area_{(semicircle)} \approx \it 100.48 }}}[/tex]

Therefore,

The area of the semicircle is 100.48 cm² approximately .
Answer 2

Answer:

100.48 cm² ( option 2 )

Step-by-step explanation:

Given:-

Radius of semicircle :- 8cm

To find:-

Area of the figure

Solution:-

Area of semi-circle :-

[tex] \frac{1}{2} \pi \: r {}^{2} [/tex]

1/2 × 3.14 × 8²

[tex]100.48 \: cm {}^{2} [/tex]


Related Questions

250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize​

Answers

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

Let R be the shaded region bounded by the graphs of y = e^x, y = -1, x = 1, and the y-axis. R is the base of a solid with cross sections perpendicular to the x-axis as squares. Find the volume of the solid.

Answers

Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

Find all the common factors of 9 and 15.
A) 1, 3
B) 1, 3, 9
C) 1, 3, 5, 9

Answers

Answer:

A common factor is a whole number which is a factor of two or more numbers.

[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]

[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]

since both of the numbers have only 1 and 3 in common.

therefore ,

Option A is correct.

______________________________________

______________________________________

Additional information

★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.

★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.

hope helpful :D

Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.

Answers

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

If you roll a dice 500 times how many times do you expect to get a 5?​

Answers

Answer:

20

Step-by-step explanation:

60%

In this figure, the coordinates of the vertices of quadrilateral PARK are (5, 5), (5, 1), (-2, 1), and (0, 5) respectively. The corresponding coordinates of the vertices in the image are (-10, -10), (-10, -2), (4, -2), and (0,-10). Which of the following statements is true? A. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a dilation. B. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a reflection and a dilation. C. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a translation and a reflection. D. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a translation.

Answers

Answer:

B

Step-by-step explanation:

Answer:

The other personis wrong its answer A: a rotation and a dilation.

Step-by-step explanation:

I mean its kind of self explanatory but i hope it helps.

i got a 100% on my quiz with this question btw.

40 Points !!!!

Find the slope of line e.


a. -1/2

b. 1/2

c. -2

d. 2

Answers

maybe d i actually don’t know i’m just copying the first person who said that

There are 150 boys and girls playing in the soccer tournament.50 of the students are wearing red.what percent of the of players are wearing red.

Answers

Answer:

1/3 or 33%

Step-by-step explanation:

You can first do: 50/150

Which is 5/15 simplified

And do the quick math:

1/3 or 33%

Find the equation of the line passing through the given point and
PARALLEL to the given equation. Write your answer in slope intercep
form. (xX_PARALLEL_Xx) *
(5,3) and y = x + 4

Answers

Answer:

y= x -2

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept

Given equation: y= x +4

This equation is already in the slope-intercept form, thus its slope can be found from the coefficient of x.

Slope= 1

[tex]\textcolor{steelblue}{\text{Parallel lines have the same slope.}}[/tex]

Slope of unknown line= 1

Substitute the m= 1 into y= mx +c:

y= x +c

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 5, y= 3,

3= 5 +c

c +5= 3

c= 3 -5

c= -2

Thus, the equation of the line is y= x -2.

Find the x- and y-intercepts of the quadratic function below. Give non-integer
coordinates in fractional form.
f(x) = 2x2 - 5x + 3
-

Answers

Answer:

Step-by-step explanation:

A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?

Answers

Step-by-step explanation:

let the cost of the bench = x

 

the cost of the garden table = x + 82

 

x + (x + 82) = 668

 

2x + 82 = 668

 

2x = 586

 

x = 293

 

The bench costs $293 and the garden table costs 293 + 82 = $375

can you mark me as brainliest, it will help me a lot. thank you in advance

Eliana draws a quadrilateral that has sides measuring 12 centimeters, 10 centimeters , 12 centimeters, and 10 centimeters in length. The angles are NOT right angle. What type of quadrilateral did Eliana draw?

Answers

Answer:

parallelogram

Step-by-step explanation:

opposite sides are congruent so this meets the minimum requirement to be a parallelogram.

At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?

Answers

Answer:

91 adult tickets

Step-by-step explanation:

Algebra is really useful here:

Let a = number of adult tickets sold and c = number of child tickets sold.

Thus, we can say that

a + c = 153 (number of tickets)

6.40c + 9.60a = 1270.4. (cost of all of the tickets)

Solving,

c = 153 - a

6.40(153 - a) + 9.60a = 1270.4

979.2 - 6.40a + 9.60a = 1270.4

3.20a = 291.2

a = 91

PLEASE HELP ME |x-5|+|x+5| if x>5

Answers

Answer:

If you don't understand handwriting

then comment ok

find GCF of 40 and 120​

Answers

Answer:

Hi there!

Find the GCF of 40 and 120

The GCF of 40 and 120 is 40

40 ÷ 40 = 1

120 ÷ 40 = 3

Hope its help!

NEED HELP!
What is the zero of the function?
f (x) = x2+x-42/x2+3x-28
Enter your answer in the box.

Answers

[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]

x


6.3630657
,

1.38899554
,
4.75206125

Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.

Answers

The loss in producer surplus as a result of the tax given the information in the diagram is  $9000.

What is the loss in the producer surplus?

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000  - 3000 = $9000

Please find attached the complete question. To learn more about surplus, please check: https://brainly.com/question/25816093

What is the equation of the line in slope-intercept form -8 and 8 ?

Answers

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

As a waitress, Willow earns an average of 18% tips on all food sales. Last week she worked five days and sold an average of $381.00 in food each day. How much did Willow earn in tips last week? (4 points)
$68.58
$104.27
$342.90
$396.91

Answers

The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips

Percentage of Numbers

Given Data

Tip = 18%Amount earned each day = $381.00

Let us find the amount of tip earned per day

Amount in tip = 18/100*381.00

Amount in tip = 0.18*381.00

Amount in tip = 68.58

Hence, for five days, her tip will be

= 68.58*5

= $342.90

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Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)

Answers

Answer:

[tex]\csc(u).sec(u)[/tex]

Step-by-step explanation:

[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

(Sin²u + Cos²u) = 1

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Tan (u) + Cot (u)

We know that,

Tan x = sin x / cos x

Cot x = cos x / sin x

Now,

Tan (u) + Cot (u)

= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)

Simplify by forming into a fraction.

= (Sin²u + Cos²u) / Sin(u)Cos(u)

[ sin² + cos² = 1 ]

So,

(Sin²u + Cos²u) = 1

= 1 / Sin(u)Cos(u)

= 1/Sin(u) x 1/Cos(u)

= Cosec(u) x Sec(u)

Thus,

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Find the perimeter and area of the following figure.
10 ft
5 ft
8 ft
3 ft

Answers

Answer:

33ft

Step-by-step explanation:

1. Work out the missing length.

2.10-3=7 so it is 7.

10+5+8+3+7=33ft

Simply the expression 3(2y - 8) - 2y(5-y)

Answers

Answer:

-4y - 24 + 2y²

Step-by-step explanation:

1. Simplify the distributive properties

⇒ 3(2y - 8) - 2y(5 - y)

⇒ 6y - 24 - 10y + 2y²

2. Combine like terms

⇒ 6y - 24 - 10y + 2y²

⇒ y(6 - 10) - 24 + 2y²

3. Simplify the expression

⇒ y(6 - 10) - 24 + 2y²

-4y - 24 + 2y²

Pls help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

You have four $20 bills, ten $5 bills, and twelve $1 bills in your wallet. If you reach into your wallet twice, what is the probability that you will pull out a $1 bill the first time and a $5 bill the second time?

Answers

Answer:

2/28 ?

Step-by-step explanation:

if I'm wrong so sorry

Which rule(s) represents a linear​ function?

Answers

Answer:

f(x) = ax + b, where a and b are real numbers.

Allie and Roman are now trying to graph the red line shown here.

Allie entered this equation: y=-2
Roman entered this equation: x=-2

Who is right, and how do you know?

Answers

Allie because the line is constant or going through at a constant rate of the point -2 on the y axis.

Roman is wrong because he is implying their is a constant rate of -2 on the x axis which is incorrect.

Therefore Allie is correct.

What is the equation of a circle with center (−5, −8) and radius 2?

(x − 5)2 + (y − 8)2 = 4

(x + 5)2 + (y + 8)2 = 4

(x + 5)2 + (y + 8)2 = 2

(x − 5)2 + (y − 8)2 = 2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Standard equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

h = x - coordinate of centre

k = y - coordinate of centre

r = radius of the circle

Now, let's plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]

Therefore, the correct choice is B

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The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4

How to determine the circle equation?

The center of the circle is given as:

Center (a,b) = (-5, -8)

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute values for r and (a,b)

(x + 5)² +(y + 8)² = 2²

Evaluate the square of 2

(x + 5)² +(y + 8)² = 4

Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4

Read more about circle equations at:

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7 3/5 - 6 3/5
Pls help i can't do dis math

Answers

Step-by-step explanation:

[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]

Now convert into lowest term

[tex] \frac{1}{1} [/tex]

1/1 is the answer ....

I will mark you brain list and Give you 90 point if you do it right and answer right thanks

Answers

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

I took the Integrity Pledge.
Do I put True or False ?

True or False

What does integrity mean?

Answers

Answer:

a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness

Step-by-step explanation:

Integrity means of being honest and having strong moral principles
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