Solve the question in the picture and write the correct answer​

Solve The Question In The Picture And Write The Correct Answer

Answers

Answer 1

Answer:

  36.24 cm²

Step-by-step explanation:

The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.

__

One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.

Side Length

To make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.

  CA² = CE² +AE²

  CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6

  CA = √136 = 2√34

__

Radius

Now we can write the proportion using the angle bisector theorem.

  DE/CE = DA/CA

  r/6 = (10 -r)/(2√34)

  r√34 = 3(10 -r) . . . . . . . multiply by 6√34

  r(3 +√34) = 30

  r = 30/(3 +√34)

__

Area

From this, we can find the area of the shaded circle to be ...

  A = πr² = (3.14)(30/(3 +√34))²

  = 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²

The area of the shaded region is about 36.24 cm².

_____

Additional comment

Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...

  [tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]

For a=√136 and b=12, this becomes ...

  [tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]

This is the same value we found above.

Solve The Question In The Picture And Write The Correct Answer

Related Questions

Complete the equation so that it has infinitely many solutions.

12x−x+8+3x=

Answers

Answer:

  = 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

  12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

  12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

The rectangle graphed has a length of 5 and a width of 4. How does the perimeter change when the width is decreased by half?
A) The perimeter is decreased by 2.
B) The perimeter is decreased by 4.
The perimeter is decreased by 5.
C) The perimeter is decreased by 6.
D) The perimeter is decreased by half
sam

Answers

Answer:

B

Step-by-step explanation:

The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18

The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?

O There is convincing evidence because the entire interval is above 0.

O There is convincing evidence because the sample proportions are different at each high school.

O There is not convincing evidence because another interval using a lower level of confidence might contain 0.

O There is not convincing evidence because the entire student body should have been asked.

Answers

Using the confidence interval, it is found that the correct option is:

There is convincing evidence because the entire interval is above 0.

When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?

It gives convincing evidence when 0 is not part of the confidence interval.

In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:

There is convincing evidence because the entire interval is above 0.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Answer:

There is convincing evidence because the entire interval is above 0.

Step-by-step explanation: EDGE 2022

Talia tossed a penny many times. She got 30 heads and 50 tails. She said the experimental probability of getting heads was
30
50
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.


She did not
(select)
30 and 50 to find the total number of trials. The experimental probability of landing on heads is

Answers

Answer:

The probability of landing on heads is 50 and the probability of landing on tails is 50.

Step-by-step explanation:

Her answer is wrong because -

A. It does not equal 100, all percentages must add to 100

B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal

A
B
C
D
isosceles triangle

Answers

A ? I think is the right answer

What is the volume of this sphere?

1024π m^3

972π m^3

729π m^3

81π m^3

Answers

Answer:1024π m^3

Step-by-step explanation:

i got 100 on the quiz

a rectangle is 9 meters long and the area is 72 square meters what is the perimeter

Answers

Answer:

Area = length × width

72 = 9 × width

8 = width (9 × 8 = 72)

pertinter = length + width + length + width

= 9 + 8 + 9 + 8

perimeter = 34

Answer:

perimeter: 34 m

Step-by-step explanation:

length : 9area : 72

width * length = area

width * 9 = 72width = 72/9width = 8 m

perimeter:

2 ( length + width )2 ( 9 + 8 )34 m

reflect the shape A in the line

x=1

What are the coordinates of the vertices of the image?
its for a maths test!!!!!!!!!!!!!!!!!!!!!!!!!!
correct answers to be awarded brainley
.

Answers

i dont knowkkkkkkkkkkkkk

A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire

Answers

Answer:

65 m

Step-by-step explanation:

The length of the mast, 60 m, is a leg of a right triangle.

The distance the wire is from the foot of the mast is the other leg.

The length of the wire is the hypotenuse of the right triangle.

We can use the Pythagorean theorem to find the length of the wire.

a² + b² = c²

60² + 25² = c²

3600 + 625 = c²

c² = 4225

c = 65

Answer: 65 m

A rectangular box with a square base and no top is to have a volume of 108

Answers

okay? what’s the question here

The value in cubic yards is 3.996yd³.

What is the volume of the rectangular box?

The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.

A rectangular box with a square base and no top is to have a volume of 108ft³.

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 × x = 108 × 0.0370

x = 3.996

Hence, the value in cubic yards is 3.996yd³.

To know more about volume click the link given below.

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I have no idea how to do this (screen shot below)

Answers

Answer:

435 is the answer

Step-by-step explanation:

well first you can cut it up

9x7=63

than    8x15=120

than for the trangle

you do  24x 21= 504 than you do 504/2=252

than add all of them =435

Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first?

Answers

Considering the total of peas is 72, Sally's initial number of peas was 56.

What is the total of peas?

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

25 + 47 = 72 peas

By the end, Sally has 25 peas and Will has 72 peas.

How many peas did Sally have before?

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

Learn more about peas in: https://brainly.com/question/26169406

PLEASE HELP!! URGENT!

Answers

Step-by-step explanation:

258

because there are 360 degrees in a circle. 360 - 102 = 258

PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS

Answers

Answer:

FIRST ONE IS 300

Step-by-step explanation:

5X8X7.5=300 l x w x h

Answer:

Question A:
Your Answer would be:
C.) 300ft2


5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2


Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change

Answers

Hope it helpsss best of luck

find the value of x in each of the following
a) x/3 - 2 =6
b) x/5 + 1 =5​

Answers

Answer:

the answer to question a is 24

the answer to question b is 8

a—x=24
b—x=20

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Krysta's soccer practice started at 7:45 A.M. on Saturday morning. The team practiced dribbling for 15 minutes and practiced shooting for 45 minutes. Then they played a scrimmage game for 30 minutes before practice ended. What time was it when Krysta's soccer practice ended?
please help asap tysm n ily

Answers

Total time used= 15+45+30=90 mins

Initial time=7:45

final time will be 1 hr 30 mins more than initial Time

final time= 9:15 am

What is the value of x

Answers

Answer:

The answer would be 7

36/6=6

so it would be

42/x=6

x=7

please help me answer this?

Answers

Answer:

  $102

Step-by-step explanation:

The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.

  morning hours = 12:15 -8:15 = 4:00

  afternoon hours = 17:30 -13:00 = 4:30

  total hours worked = morning hours + afternoon hours

  total hours worked = 4:00 +4:30 = 8:30

This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.

The pay is the product of the hours worked and the pay per hour:

  pay = (8 1/2 hours) × ($12 /hour) = $102


Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =

Answers

Answer:

I know the answer but you may select me as Brainliest

Answer:
Center: (3, -1)
Radius: 3

Steps:
Rewrite in standard form to find the center
(h,k) and radius.

x^2 + y^2 - 6x + 2y + 1 = 0
Standard Form: (x - 3)^2 + (y + 1)^2 = 9

Center: (3, -1)
Radius: 3

34,678 rounded to the nearest hundred.

Answers

Answer:

34,700.

Step-by-step explanation:

The tens digit is 7 so we  round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.

Answer:

34,700

Step-by-step explanation:

34,678

3 is in the ten thousands place

4 is in the thousands place

6 is in the hundreds place

7 is in the tens place

8 is in the ones place

When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.

So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.

400, 500, 600, 700

As you can see, the nearest hundred is 700

Our answer would be 34,700

Hope this helps!

An arithmetic sequence has this recursive formula:
|a =7
n = an=1
- 4
What is the explicit formula for this sequence?

Answers

An arithmetic sequence can be expressed as explicitly or recursively

The explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

How to determine the explicit formula

The recursive formula is given as:

[tex]a_n = a_{n -1} - 4[/tex]

[tex]a_1 = 7[/tex]

Substitute 2 for n in [tex]a_n = a_{n -1} - 4[/tex]

[tex]a_2 =a_1 - 4[/tex]

This gives

[tex]a_2 =7 - 4[/tex]

[tex]a_2 =3[/tex]

Calculate the common difference (d)

[tex]d = a_2 -a_1[/tex]

[tex]d = 3- 7[/tex]

[tex]d = -4[/tex]

The explicit formula is then calculated as:

[tex]a_n = a_1 + (n - 1)d[/tex]

This gives

[tex]a_n = 7+ (n - 1)*-4[/tex]

Expand

[tex]a_n = 7+4 - 4n[/tex]

[tex]a_n = 11 - 4n[/tex]

Hence, the explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

Read more about arithmetic sequence at:

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I need help please. i will give brainliest

Answers

Answer:

1) There were 120 customers per night when the restaurant opened

2) y = -2x + 24

Step-by-step explanation:

1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.

y=mx+b

120 is b in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.

If X = 72, Y = 30, and Z = 78, what is the cosine of B?

Answers

You need to use ABC instead of XYZ because it is unclear which one is B.

An observer at the top of a building sees a car on the road below. the angle of depression to the car is 28 degrees. If the car is about 50m from the building when it is seen, how tall is the building?

Answers

Answer:

Step-by-step explanation:

The height of the building is: 26.585 m.

What is angle of Depression?

The angle formed by the line of sight and the horizontal plane for an object below the horizontal.

Given:

angle of depression= 28 degree,

distance between car and building= 50m

using trigonometry,

tan 28= P/B

0.5317= P/50

P= 26.585 m

Hence, the height of the building is 26.585 m.

Learn more about angle of depression here:

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PLEASE HELP ME IN THIS QUESTION!!! ​

Answers

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

[tex]ED\times EC= EF^2[/tex]

[tex]\implies x(x+x+7)= (15)^2[/tex]

[tex]\implies 2x^2+7x= 225[/tex]

[tex]\implies 2x^2+7x-225=0[/tex]

Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]

Now, by quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]

[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]

[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]

[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]

[tex]\implies x=9\: or\:x=-12.5 [/tex]

x represents length, so it can't be negative.

[tex]\implies x\neq -12.5[/tex]

[tex]\implies x=9[/tex]

CD = x + 7

-> CD = 9 + 7

-> CD = 16

4. Is (x + 2)a factor of (x + 5x 3 2 - 4x – 20)? -​

Answers

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

helllllppp!!!!!!!!!!!!11 marking brainliest!

Answers

Hello!

Let the unknown number be x.

Subtract 5:

x-5

Double the result: (multiply the result times 2):

2(x-5)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Make a story problem about conversion of measurements.​

Answers

CONVERSION

Make a story problem about conversion of measurements.

ANSWER

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

The three sides of a triangle of lengths 4, 5, and 7. The triangle is obtuce

Answers

Answer:

Let's check this!

Obtuse triangle formula:

c² < b² + a²

Next fill in the formula:

7² < 5² + 4²

Then simplify:

49 < 25 + 16
Then add:

49 < 41

^^49 is not greater than 41 so therefore the triangle is not obtuse.

When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.

Acute triangle formula:

c² > b² + a²

7² > 5² + 4²

49 > 25 + 16

49 > 41 ✔

You're Welcome and Mark me Brainliest please.

The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

What is the obtuse triangle?

The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.

The three sides of a triangle of lengths 4, 5, and 7.

An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.

The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.

Obtuse triangle formula:

c² < b² + a²

7² < 5² + 4²

49 < 25 + 16

49 < 41

Here; 49 is not greater than 41 so therefore the triangle is not obtuse.

Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

Learn more about the obtuse triangle;

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