Find the radius of the circle, if the big square is 30 square units more than the area of the small square.

Find The Radius Of The Circle, If The Big Square Is 30 Square Units More Than The Area Of The Small Square.

Answers

Answer 1

Answer:

The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:

Area of small square = s^2

Area of big square = b^2

Since the area of the big square is 30 units more than the area of the small square, we can write the equation:

b^2 = s^2 + 30

To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:

s^2 = b^2 - 30

s = sqrt(b^2 - 30)

Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:

s = sqrt(d^2 - 30)

To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:

r = d/2 = sqrt(d^2 - 30)/2

So to find the radius of the circle, we just need to know the diameter of the circle. Can you provide the diameter of the circle in the question?:

Answer 2

The radius of the circle is: r = d/2 = sqrt(d^2 - 30)/2

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

Here, we have,

The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:

Area of small square = s^2

Area of big square = b^2

Since the area of the big square is 30 units more than the area of the small square, we can write the equation:

b^2 = s^2 + 30

To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:

s^2 = b^2 - 30

s = sqrt(b^2 - 30)

Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:

s = sqrt(d^2 - 30)

To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:

r = d/2 = sqrt(d^2 - 30)/2

So to find the radius of the circle, we just need to know the diameter of the circle.

To learn more on area of circle click:

brainly.com/question/22964077

#SPJ2


Related Questions

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price. a bunk bed with a cash price of $1,998, at $143 per month for 15 months

Answers

shue isvsye jrue si buabs ikwgeh oshe

Find the volume of the pyramid. 2.4 m 1.4 m 1.8 m​

Answers

Answer:

It should be 2.016 m cubed

Step-by-step explanation:

the formula is V= 1/3 ( l × w × h ) if you want to check

3. It is 2:30 p.m. Talia has to be at cheerleader practice in 45 minutes. What
time will Talia be at cheerleading practice?

Answers

Answer:

3:15 p.m.

Step-by-step explanation:

45 minutes past 2:30 p.m. is 3:15 p.m.

2:30 p.m. to 3:00 p.m. is 30 minutes

3:00 p.m. to 3:15 p.m. is 15 minutes

30+15 = 45 minutes

Answer:

She will be at cheerleading practice at 3:15 pm?

Step-by-step explanation:

Fake college smh

What two rays form angle 1?

Answers

Answer:

box 2 and 3

Step-by-step explanation:

the rays are the only two that form the angle of 1

To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?

(b) How much interest did Donna pay on the loan?

Answers

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

What exactly does a down payment mean?

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

To know more about down payment visit:-

brainly.com/question/29075522

#SPJ1

Please help! I will mark your brainiest, thank you!

Answers

Answer:

6

Step-by-step explanation:

The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:

180 = 5x + x + 54 + 90

90 comes from the square indicating a right angle.

Using that equation, solve for x.

180 = 5x + x + 54 + 90

First, combine like terms.

180 = 6x + 144

Then subtract 144 from both sides

36 = 6x

Divide both sides by 6 to isolate x

6 = x

So x = 6°

A sports ball has a diameter of 13 cm. Find the volume of the ball.

Answers

Answer:

V≈1150.35cm³

Step-by-step explanation:

Using the formulas

V=4 /3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³

1150.35cm to your question

Help me please pretty please

Answers

Answer:

Unemployment rate = 5.3%

Step-by-step explanation:

8000/150000 = 0.053

Convert to percentage:

0.053*100 = 5.3%

Ronald is organizing his CD collection. He has 76 CDs, 28 of which are rock. If Ronald randomly selected one of his Cd what is the probability that it will be a rock CD? (In the simplest fraction)​

Answers

Answer:

there is a 36% percent chance

Step-by-step explanation:

28/76 = 36/100 to get the probability.

Answer: 7/19

Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.

Two numbers total 31 and have a difference of 9. Find the two numbers.

Answers

Answer:

20, 11

Step-by-step explanation:

x=first Number

x-9=second number

above two added together=31 or

x+(x-9)=31

2x=40

x=20 first number

x-9=second number

20-9=11 second number

20 (first number) + 11 (second number)=31

31=31

A person is standing 18 feet from the base of a tree and there's a bird's nest in the tree 10 feet above the ground. what is the angle of elevation from the person to the birds nest? round to the nearest tenth of a degree?

Answers

The angle of elevation from the person to the birds nest is 29^o.

What is angle of elevation?

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

Learn more about the angle of elevation at https://brainly.com/question/88158

#SPJ1

Find y.
7.54
6.76
18.55
29.83

Answers

The length of y in the triangle is 18.55 units.

How to find the side of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

learn more on triangles here: https://brainly.com/question/29536478

#SPJ1

24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X

Answers

On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from data provided by the graphs,

we have a straight line,

which means that the coordinates are equal.

so the equation will be x = y

x-y = 0

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Help pls help me with this question please

Answers

The answer to this is A. I hope this helps

Through: (2/2), slope = -1/2

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $45.95, a hat costs $23.95, and a pair of cleats costs $28.95. What is the total cost for a team of 13 players?​

Answers

Answer:

Total cost for team: $1285.05

Step-by-step explanation:

45.95 + 23.95 + 28.95 = 98.85

98.85 * 13 = 1285.05

The answer is 1285.05

Explanation : Its just is

find bce PLEASE AND THANKS

Answers

The unknown angle of the triangle is as follows:

∠BCE =  65 degrees

How to find the angle of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the angle ∠BCE can be found as follows:

∠BAC = 70 degrees

∠ABC = 60 degrees

∠ACB = 180 - 70 - 60

∠ACB = 180 - 130

∠ACB = 50 degrees

Hence, using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

∠BCD = 60 + 70 = 130 degrees

Hence,

∠BCE = 130 / 2 = 65 degrees

learn more on angles here: https://brainly.com/question/29144629

#SPJ1

2x(6x^2 + 3x - 1)

Simplify

Answers

Answer: 12x^3+ 6x^2- -2x

When f(x) is divided by x-c, the remainder of
synthetic division is 0. Which of the following
statements are true?
A. (x-c) is a factor of f(x)
B. (0, c) is the y-intercept of the graph of f(x)
C. (c, 0) is the x-intercept of the graph of f(x)
D. Both A and B
E. Both A and C

Answers

Answer:

(x-c) is a factor of f(x)

dwkalbndjksedBGFesklfn sedfesg

Answers

Answer:

167.27.653000.9387400133.33323003196.2616833.333

i need help im almost done and this is my second to last question probably helpppp

Answers

Answer is the second one, x^4

Find the measure of angle A,

Answers

The value of the Angle A is  74.3°.

What is Relation between angle and Side of a triangle?

The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.

The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.

We know:-

AB/sin(c)=AC/sin(a)=BC/sin(b)

8/sin(a)=5/Sin37°

Angle= 74.3°.

To learn more about triangle refer to :

brainly.com/question/18166236

#SPJ1

8 lb =___oz Complete the conversion.

Answers

Answer: 128 ounces

Step-by-step explanation:

One ounce has a mass of 16 and 16 x 8 is 128

**You should not need to round on this problem, no %'s decimals only**

At Houston Community College 60% of the students who take English will pass. Of those who pass English, 70% will also pass Accounting. Of those that do not pass English, 45% will still pass accounting.

Answers

a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

What is Probability?

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

To learn more about Probability from the given link

brainly.com/question/13604758

#SPJ1

plz I need help don't know what to do​

Answers

He would become 72 inches! You have to divide 45 by 62.5 then times it by 100 to see how tall he would be at 18

Answer:

62.5

Step-by-step explanation:

You would take 62.5% and 45, using long multiplication to get .625

You would then multiply .625 and 100, getting 62.5

Use the Pythagorean Theorem: x=

Answers

Answer:

[tex]\sqrt{253}[/tex]

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is [tex]a^{2} + b^2 = c^2[/tex]

1. Note that c is always the hypotnuse (the longest side of the triangle)

c = 17

2. Note that a and b represent both legs of the triangle

a = 6

3. Find b using pythagorean theorem (x = b)

[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]

Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]

HELPPPPPPPPPP MEEE PLEASE hehe lol

Answers

iiishdbsbzbshshshshsjsjsjakaknsbsbs 4

What is an equation of the line that passes through the points ((1,8) and (−1,−2)?

Answers

Solution:

Let (1,8)=(x1,y1)

(-1,-2)=(x2,y2)

D=?

Now,

D=

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]

or, D=

[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]

[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]

[tex] \sqrt{4 + 100 } [/tex]

[tex] \sqrt{104} [/tex]

2[tex] \sqrt{26} [/tex]

The following data are from a simple random sample (The population is infinite): Data were collected on the amount spent by 130 customers for lunch at a major Houston restaurant. Based upon past studies the population variance is known with 256. Sample Mean: $21.5 Find the standard error of the mean. If needed round your intermediate calculations to no more than 2 decimal places. Round your final answer to 2 decimal places.

Answers

Answer:

1.40

Step-by-step explanation:

Given that

the number of customers are 130

The variance is 256

And, the sample mean is $21.50

We need to find out the standard error

So , the standard deviation is

= sqrt(variance)

= sqrt(256)

= 16

As we know that

standard error of mean = standard deviation ÷ sqrt(n)

= 16 ÷ sqrt(130)

= 1.40

The circumference of a circle is 7.536 millimeters. What is the circle's radius?

Answers

It’s r≈1.2, hope this helps !
Other Questions
Is algebra.PLEASE HELP NO LINKS OR FILES.I don't want links.I don't want links.I don't want links.I don't want links. Answer both questions An object has a mass of 440 kg and a volume of 11 m3. Find the density of the object in kg/m3. Who was considered to be the greatest thinker of the Renaissance? * 10 points Shakespeare Dante Michelangelo Da Vinci Beth and Amy's tennis coach is picking 2 athletes from the 10 on the tennis team to speak at an assembly. What is the probability the coach will pick Beth and Amy? If 1 and -2 are zeroes of x^2+ax+b=0. Find a and b. First and correct answer will be marked brainliest. give reason an Empty bottle floats on the surface of a water while a bottle filled with water flows inside the liquid What are 5 types of advertising? According to Mintzberg, understanding how strategy can be viewed as a plan, as a ________, as a position, as a pattern, and as a perspective is important. What does the last line of the poem Mean To My Dear and Loving Husband? The volume of a rectangular box is x^3+x^2-4x-4 cubic inches. If the length of the box is x+1 inches and the width is x-2 inches, what is the height , in inches, off the box in terms of x 30. When applying towels around the incision a. It is important that the skin be dry b. Drape the area nearest you first c. Walk to the opposite side of the patient to place the last towel d. All of the above 4.What did the Supreme Court rule in Plessy v. Ferguson?a. Plessy had paid for his ticket, therefore could sit wherever he chose.b. Plessy was forced to attend anger management sessions.c. Ferguson was required to pay Plessy's $25 fine.d. The Separate Car Act in no way violated the 14th Amendment. Please Help Quick The last in word omen refers to a sign or signal that predicts something that will happen in the future. With this in mind infer the definition of the word ominous as it is used in paragraph 20 of the excerpt. Write the meaning in your own words and explain how it is derived from its Latin origin. Marco, Jaclyn, and Carrie formed Daxing Partnership (a calendar-year-end entity) by contributing cash 10 years ago. Each partner owns an equal interest in the partnership and has an outside basis in his/her partnership interest of $104,000. On January 1 of the current year, Marco sells his partnership interest to Ryan for a cash payment of $137,000. The partnership has the following assets and no liabilities as of the sale date:Tax Basis FMVCash $ 18,000 $ 18,000Accounts receivable 0 12,000Inventory 69,000 81,000Equipment 180,000 225,000Stock investment 45,000 75,000Totals $ 312,000 $ 411,000The equipment was purchased for $240,000, and the partnership has taken $60,000 of depreciation. The stock was purchased seven years ago.4.value:1.00 pointsRequired informationa. What are the hot assets [751(a)] for this sale? (Select all that apply.)Accounts receivableInventoryStock investmentPotential depreciation recapture in the equipmentReferenceseBook & ResourcesDifficulty: 2 MediumLearning Objective: 21-01 Determine the tax consequences to the buyer and seller of the disposition of a partnership interest, including the amount and character of gain or loss recognized.5.value:1.00 pointsRequired informationb. What is Marcos gain or loss on the sale of his partnership interest?ReferenceseBook & ResourcesProblemDifficulty: 2 MediumLearning Objective: 21-01 Determine the tax consequences to the buyer and seller of the disposition of a partnership interest, including the amount and character of gain or loss recognized.Check my work6.value:1.00 pointsRequired informationc. What is the character of Marcos gain or loss?$23,000 ordinary income and $10,000 capital gain$10,000 ordinary income and $23,000 capital gain$33,000 ordinary income$33,000 capital gainNone of theseReferenceseBook & ResourcesDifficulty: 2 MediumLearning Objective: 21-01 Determine the tax consequences to the buyer and seller of the disposition of a partnership interest, including the amount and character of gain or loss recognized.Check my work7.value:1.00 pointsRequired informationd. What are Ryans inside and outside bases in the partnership on the date of the sale? a pizza restaurant has hamburger pepperoni Canadian bacon and sausage how many ways can a three topping Use the distributive property to fill in the blanks below. Pls help me :| This is for a grade and today for me is the last day of school :| The owner-manager of Good Guys Enterprises obtains utility from income (profit) and from having the firm behave in a socially conscious manner, such as making charitable contributions or civic expenditures. Can you set up the problem and derive the optimization conditions if the owner-manager wishes to obtain a specific level of utility at the lowest possible cost? Do these conditions differ from the utility maximizing conditions? Complete the table as you answer the multiple choice questions below. Where is quadrant 4?