I need help on 11A, I got the answer as 5.046cm but the book says it's 8.37 cm

I Need Help On 11A, I Got The Answer As 5.046cm But The Book Says It's 8.37 Cm
I Need Help On 11A, I Got The Answer As 5.046cm But The Book Says It's 8.37 Cm

Answers

Answer 1

Answer:

[tex]\textsf{Area of a triangle}=\dfrac{1}{2} ab \sin C[/tex]

(where [tex]a[/tex] and [tex]b[/tex] are the sides, and [tex]C[/tex] is the included angle)

[tex]\textsf{Area of a sector}= \dfrac{\theta}{360} \pi r^2[/tex]

(where [tex]\theta[/tex] is the angle in degrees and [tex]r[/tex] is the radius)

Therefore, using the above formulas:

[tex]\begin{aligned}\textsf{Area of segment } \rm (A) & = \textsf{area of sector}- \textsf{area of triangle}\\& = \dfrac{\theta}{360} \pi r^2 - \dfrac{1}{2}r^2 \sin \theta\\\end{aligned}[/tex]

Given:

[tex]\theta[/tex] = 90°A = 20 cm²

Substitute the given values into the formula and solve for r:

[tex]\begin{aligned}\implies 20 & = \dfrac{90}{360} \pi r^2 - \dfrac{1}{2}r^2 \sin 90\\\\20 & = \dfrac{1}{4} \pi r^2 - \dfrac{1}{2}r^2 (1)\\\\20 & = \left(\dfrac{1}{4} \pi -\dfrac{1}{2}\right)r^2\\\\20 & = \left(\dfrac{\pi -2}{4}\right)r^2\\\\r^2 & = 20\left(\dfrac{4}{\pi -2}\right)\\\\r^2 & =\dfrac{80}{\pi-2}\\\\r & =\sqrt{\dfrac{80}{\pi-2}}\\\\r & = 8.37\: \sf (2\:dp)\end{aligned}[/tex]


Related Questions

A paint mixture uses a specific blue to yellow ratio. for every 7 gallons of paint, 2 are blue. enter the ratio of yellow paint to total gallons of paint as a fraction?

Answers

Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

Solve for the value of x

Answers

Answer: 12

Step-by-step explanation:

Simplify the expression. Write your answer

Answers

7776 is the simplified version.

The volume of a rectangular pyramid is 176 units³. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 11 units, find the height of the pyramid.​

Answers

Answer:

2.66unit

Step-by-step explanation:

volume=176

l×b

6×11=66

Therefore,176÷66=2.66unit

The radius of a circle is 1 meter. What is the circle's circumference?
Use 3.14 for ​.

Answers

Answer:

6.28

Step-by-step explanation:

D = R x 2

D = 2

2 x 3.14 =

6.28

what’s the answer to this problem , figure out the area and perimeter of this triangle

Answers

Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

Find the distance between the points (-8, 9) and (2, 9).
units

Answers

Answer:

Distance=√(x2−x1)2+(y2−y1)2

Step-by-step explanation:

How to Find Distance Between Two Points?

Note down the coordinates of the two given points in the coordinate plane as, A(x1,y1 x 1 , y 1 ) and B(x2,y2 x 2 , y 2 ).

We can apply the distance formula to find the distance between the two points, d = √[(x2 x 2 − x1 x 1 )2 + (y2 y 2 − y1 y 1 )2]

HELP IM ON A TIMER
What is the product?
(x - 3)(2x2 – 5x + 1)
O 2x3 - x2 + 16x + 3
O 2x3 - 11x2 + 16x + 3
O 2x3 - 11x2 + 16x - 3
0 2x3 - x2 + 16x - 3

Answers

Answer:

The answer is 2x3 - 11x2 + 16x -3

does someone mind helping me with this problem? Thank you!

Answers

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

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b= \sqrt{1600-576} [/tex]

[tex] {\qquad \sf  \dashrightarrow \: b= \sqrt{1024}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = 32 \: units[/tex]

Given:hypotenuse= 40side 1= 24To find:

The length of "b"

Solution:

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]

[tex]b = 1024[/tex]

[tex]b = \sqrt{1024} [/tex]

[tex]b = 32[/tex]

Hence, the length of "b" is 32.

Fior 50 points solve this problem
Which graph represents the solution to the system of inequalities below?
5x-4y>4
x+y<2

Answers

B. is the correct graph.

See the attachment.

Answer:

Step-by-step explanation:

Use desmos to graph

B is The correct answer for this question

Evaluate the expression -6³

Answers

Answer:

-216

Step-by-step explanation:

please mark as brilliant

The answer is -216

The power of 3 basically means you time the number by itself 3 times. This means it is (-6)x(-6)x(-6) which equals -216.

Hope this helped!

A video store specializes in three types of movies: children's, American West, and horror. It's known that:
60% of children's movies plus 50% of westerns account for 30% of all movies.
20% of children's movies plus 60% of westerns plus 60% of horror movies represent half of all movies.

Answers

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

[tex]\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\[/tex]

Simplifying the system of equations, we have

[tex]\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\[/tex]

[tex]\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500[/tex]

                                       [tex]y&=500+100=600\\ z&=3(500)-600=900[/tex]

The video store has 500 children's movies, 600 westerns and 900 horror movies.

Do you still have to do summer school if you fail one class? (serious question please answer, and yes i know its in math i just need an answer!)

Answers

Answer:

In some schools yes but it depends is it a required class? if so then you'd have to retake it.

Answer:

well you might not have to do summer school but you might have to take a course during summer for that class you failed or you may have to redo that class in order to get the points needed to pass but also it depends because even though you might  not pass that one class you can still pass the grade but you will be in the same class or a lower standard for that subject now i am not sure it honestly all depends on your teacher and school if they want you to go the next grade but they can also talk to teachers in the next grade to help you so that you can still pass but you have to do lower standard work  for the class in that next grade

Step-by-step explanation:

hope it helps let me know if you have anymore questions or if you need anymore help understanding or if you need help with work so that you can pass i would be happy to help you

Enter an equation and an answer to the following question:


What is the original list price if the discount is $25 and the discount rate is 12%?

Answers

Answer:

$208.30

Step-by-step explanation:

Discount:

Let the original price be $ x

Discount % = 12%

Discount = $ 25

 12% of x = 25

  [tex]\sf \dfrac{12}{100}*x = 25[/tex]

           [tex]\sf x = 25 * \dfrac{100}{12}=\dfrac{25*25}{3}\\[/tex]

              = $ 208.30

Solve for a. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Remark

a is one part of the cosine function. It is termed the adjacent side. The given number (12) is the hypotenuse of a right triangle. The reference angle is given as 25. You have all you need to solve for a

Givens

<B = 25o

AB = 12

a = a

Equation

Cos(B) = adjacent side / hypotenuse

Solution

Cos(25) = adjacent side / 12               Multiply both sides by 12

12*cos(25) = adjacent side

cos(25) = 0.90631

12*0.906331 = adjacent side

10.87 = adjacent side

Answer

a = 10.9

Can anyone help solve this

Answers

The graph is proportional because it follows all the rules of properties.

1. It starts at 0,0
2. It is a straight line

the distance of -17 from 0



i have no idea what to do :(((

Answers

-17 is the answer.. subtract 17 FROM 0 which will make it -17 but if it said -17 TO 0 then you would add 17.

Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.

Answers

Using the t-distribution, the most appropriate conclusion for the hypotesis test is given by Phone use did not change.

How to find the value of z-statistic for population mean? (z test statistic)

Suppose we're specified that:

The sample mean = [tex]\overline{x}[/tex]

The population mean =[tex]\mu[/tex]

The population standard deviation = [tex]\sigma[/tex]

The sample size = n

Then the z-statistic for this data is found as:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]

In this problem, the values of those parameters are as follows:

The sample mean  [tex]\overline{x}[/tex] =  -0.2

The population mean =[tex]\mu[/tex] = 0

The population standard deviation = [tex]\sigma[/tex] = 9.1

The sample size = n = 200

Hence, the test statistic is given by:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\\\\\\Z = \dfrac{-0.2- 0}{9.1/\sqrt{200}}\\\\z = 0.31[/tex]

Thus,

t = 0.31.

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:

Phone use did not change.

Learn more about z-statistic here:

https://brainly.com/question/1640298

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24r + 48 write the expression in two other ways

Answers

Answer:

2(12r + 24)
12(r + 2)

what is -10/5 simplified

please lol help

:) Thank youuu!!!

Answers

Answer:

Step-by-step explanation:

10/5

Just divide it

= -2

The length of a Ping Pong table is 3 ft less that four times the width. The area of the
Ping Pong table is 85 square feet. What are the dimensions of the Ping Pong table?

Answers

Step-by-step explanation:

I hope you understand.....

The table shows the results from a survey of 335 randomly selected households with pets. this survey was conducted by a new pet store
that is opening nearby.
have children
do not have children.
total
1 pet
38
53
91
2 pets
85
41
126
3 or more pets
46
72
118
total
169
166
335
the pet store uses the data to make decisions about inventory. complete the given statement.
a customer is more likely to have 1 pet and no children than they are to have

Answers

A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.

How to find probability?

We are given a table with 3 columns titled "have children", "do not have children" and "total".

Under the row titled "1 pet", the respective probabilities are;

P(having 1 pet and children) = 38/91 =  0.4176

P(having 1 pet and no children) = 53/91 = 0.5824

Under the row titled "2 pets", the respective probabilities are;

P(having 2 pets and children) = 85/126 = 0.6746

P(having 2 pets and no children) = 41/126 = 0.3254

Under the row titled "3 or more pets", the respective probabilities are;

P(having 3 or more pets and children) = 46/118 = 0.3898

P(having 3 or more pets and no children) = 72/118 = 0.6102

The only probability that is lower than P(having 1 pet and no children) in the same way is P(having 2 pets and no children).

Read more about Probability at; https://brainly.com/question/24756209

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Answer:

The answer is "3 pets and children"

Step-by-step explanation:

Got it right on Edmentum

Solve the system of equations below.

4x – 6y = 30
3x + 7y = 80

x =
, y =

Answers

Answer:

The answer is stated above:

x=15

y=5

need help with this
The total numbers of A, B, C, D, and F grades are recorded in the table. What was the probability that a student earned a B? (Write as percent rounded to the nearest tenth)​

Answers

Answer:

18.7%

Step-by-step explanation:

P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%

In your Own words explain what in algebra the deffintion of
Mode
Median
Range
I will try to give brainliest to person who discribes in own words

Answers

Answer:

The mean means average. To find it, add together all of your values and divide by the number of addends. The median is the middle number of your data set when in order from least to greatest. The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.

Step-by-step explanation:

hope this helps

have a good day <3

Answer:

hope this helps!!

Step-by-step explanation:

Mode: Are there two students who have the same number of children (could be zero)? If yes, that’s the mode. If not, there is no mode. Median: Put all five numbers in a row from lowest to greatest. The one in the middle is the median. Range: Take the difference of the greatest minus the lowest and that is the range.

what’s the answer to this problem , figure out the area and perimeter of this triangle

Answers

Answer:

Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)

Perimeter: 26.3 m

Step-by-step explanation:

Triangle Area formula: bh/2

Plug it in: (7.4)(4.5)/2=16.65

Perimeter: Add the sides

12.6+7.4+6.3=26.3

Answer:

Step-by-step explanation:

Remark

Here are the formulas for what you are asking for.

P = s1 + s2 + s3

Area = height * base / 2

Givens

s1 = 12.6

s2 = 6.3

s3 = 7.4

height = 4.5

base = 7.4

The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended.  See the givens for what that is.

Solution

Perimeter

P = s1 + s2 + s3                        Substitute givens into the formula

P = 12.6+6.3 + 7.4

p = 26.3

Area

Area = (B * H)/ 2

Area = 7.4 *4.5 / 2

Area = 16.65

Please someone help me with my question

Answers

Answer:

∠A≅∠Z          AB ≅ ZX

∠B≅∠X          AC ≅ ZY

∠C≅∠Y          BC ≅ XY

ΔCBA ≅ ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

B

Step-by-step explanation:

There is two wholes and one half.

2. A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a
milliliter. What is the volume of this cup to the nearest milliliter? Show the work you use to find the answer.

Answers

If the height of the frustum of the cone is 10 cm. Then the volume of this cup will be 47 milliliters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a milliliter.

Then the volume of this cup to the nearest milliliter will be

The volume is given as

[tex]\rm V = \dfrac{1}{3} \pi (r_2^2 - r_1^2) h[/tex]

We have

Height (h) = 10 cm = 0.1 m

Radius (r₁) = 3.2 cm = 0.032 m

Radius (r₂) = 2.4 cm = 0.024 m

Then the volume will be

[tex]\rm V = \dfrac{1}{3} \pi (0.032^2 - 0.024^2) \times 0.1\\\\\rm V = 4.7 \times 10^{-5} \ \ m^3[/tex]

Then the conversion of m³ to milliliters will be

4.7 × 10⁻⁵ m³ = 4.7 × 10⁻⁵ × 10⁶ millileters

4.7 × 10⁻⁵ m³ = 47 milliliters

More about the geometry link is given below.

https://brainly.com/question/7558603

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QUICKLY HELP AND LOOK AT THE PICTURE BELOW!!!

Answers

Answer:

the number of inches the grass grows each day

Answer:

A

Step-by-step explanation:

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