find the radius of a circle with an area of 100 in^2

I will give brainliest and 25 points!

Answers

Answer 1

Answer:

The answer is the following:

r≈5.64in

Answer 2

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

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

So to rearrange and make r the subject, divide both sides of the equation by pi:

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

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

Now square root both sides to find r:

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

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!


Related Questions

please help meeeee c:

Answers

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

What is the equation for the line in slope-intercept form?



Enter your answer in the box.

Answers

i believe it's -4 :)

what is 282.74 in terms of pi

Answers

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

What is 5 times 9 divided 5 add 40 subtract 100

Answers

Answer:

-51

Step-by-step explanation:

no link no bot please right fast but right

Answers

Answer:

12 in

Step-by-step explanation:

3in + 3in + 3in + 3in = 12

The perimeter is 12 inches because each side is 3 inches, therefore 3+3+3+3=12

1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2

Answers

Answer:

x = 2

Step-by-step explanation:

The given point is (-2, 2).  A horizontal line passing through this point is x = 2.

Which equation has the correct sign on the product?
a. 27(-5)=-135
b. 22 x 4= -88
c. (-4)(-4)= -16
d. (-61)(3)= 183

Answers

Answer: a.

Would appreciate brainly <3

Find the equation for the linear function based upon this table. y = mx + b


y -6 -2 2 6 10
x -4 -2 0 2 4

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

The difference of a number and six is negative four

Answers

10, i believe. i hope this helps :)

D.Solve the following problems.Show your solution
1.A boy ran a distance of 5.8 kilometers. How many meters did he run?

2. Jose walks 378 meters while Rene walks 0.67 kilometers.What is the difference between the distances which they walked,in centimeters

SHOW YOUR SOLOTION PLSSS
I will ggive u points
sana

Answers

1. 5800 meters. there are 1,000 meters in a kilometer, so if you simply multiply 5.8 by 1000 you will get the total number of meters ran.
2. 29200 centimeters. there are 100 centimeters in a meter, and 1000 meters in a kilometer, so 0.67x1000 gives you 670 meters, which if multiplied by 100 gives you 67000 centimeters, and if you multiply 378 by 100 you get 37800 centimeters. 67000-37800=29200cm

: Two manufacturers supply paper cups to a catering service. Manufacturer A supplied 100 packages and 5 were damaged. Manufacturer B supplied 50 packages and 3 were damaged. If a package is damaged, find the probability that it came from Manufacturer A.1 I.e., Find probability P(Manu

Answers

If a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:

5 + 3 = 100 5 = X 5 x 100/8 = X 62.5 = X

Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.

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At a store, 4 shirts cost $25 and 6 shirts cost $37.50.

Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?

Answers

Yes, each shirt is $6.25.

The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ

Answers

Answer:

x + 8

Step-by-step explanation:

Expanding the equation

-4(x-2)+5x = -4(x-2)+5x

= -4x+8+5x

= -4x+5x + 8

= x+8

can i have some help pls

Answers

Answer:

the first recipe

Step-by-step explanation:

We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.

Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.

nuts to cereal ratio = 2 1/2 : 5 = 1 : 2

Recipe 2: 1 cups of nuts per 3 cups of cereal.

nuts to cereal ratio = 1 : 3

1 : 2 is a higher ratio than 1 : 3

Answer: the first recipe

y=3x+5 what are the missing values
A.) ONLY (2,11)
B.) ONLY (3,13)
C.) BOTH (2,11) and (3,13)
D.) NEITHER

Answers

Answer:

A

Step-by-step explanation:

so first substitute 2 into the x  so 3*2=6 then and 5+6= 11 then substitute 11 into the y and boom it works. (3,13) doesnt work because if you substitute them in 3*3=9 then 9+5=14 but we needed 13 so only (2,11) works.

To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.

Answers

Answer:

option d

Step-by-step explanation:

Your should have attached the equation for answer to be explained

consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?​

Answers

Step-by-step explanation:

remainder=4

quotient=x+1

divisor=x-2

dividend=x^2 -x +2

a small square garden has an area of 25 square yards. how long is each side of the garden?

Answers

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

What is the value of y in the following system of equation3x-4y=-20 -x+2y=10

Answers

It’s either 15, -15 or -7.5

3x-4y==20-x+2y=10

2x-2y=-20=10

2x-2y=30

30/2x= 15

15/-2y= -7.5

If you divided 30 by 2y it would be -15 but go with the answer that is one of the answer choices.

How many solutions are there to the equation shown below?
4(2x−3)−2x=6x+8

pls answer ASAP I will give brainliest to the first

Answers

Answer:

0 = 20

Step-by-step explanation:

4(2x−3)−2x=6x+8

8−12−2=6+8

combine like terms.

8x−12−2x=6x+8

6−12=6+8

Add 12 to both sides of the equation

6x−12=6x+8

6−12+12=6+8+12.

A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?

Answers

Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

The symbolic distribution is:

[tex]P(X = 1) = y[/tex]

[tex]P(X = 2) = x[/tex]

[tex]P(X = 3) = y[/tex]

[tex]P(X = 4) = x[/tex]

[tex]P(X = 5) = y[/tex]

[tex]P(X = 6) = x[/tex]

The sum of all probabilities is 1, hence:

[tex]3x + 3y = 1[/tex]

Simplifying by 3:

[tex]x + y = 0.3333[/tex]

[tex]y = 0.3333 - x[/tex]

2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:

[tex]x = 2y[/tex]

[tex]x = 2(0.3333 - x)[/tex]

[tex]3x = 0.6667[/tex]

[tex]x = \frac{0.6667}{3}[/tex]

[tex]x = 0.2222[/tex]

Then:

[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]

Hence, the distribution is:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

A similar problem is given at https://brainly.com/question/24855677

How do I determine z ∈ C:

[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]

Answers

Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]

So, the equation is simplified to

[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]

Let's combine the fractions on the right side:

[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]

[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]

Then

[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]

reduces to

[tex]-(17+11i) z = 5-4i[/tex]

Multiply both sides by -1/(17 + 11i) :

[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]

[tex]z = -\dfrac{5-4i}{17+11i}[/tex]

Finally, simplify the right side:

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]

So, the solution to the equation is

[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]

What do you call raising a base to the exponent 2

Answers

Answer:

Squaring

Step-by-step explanation:

On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?

Answers

Answer:

Second test=88

Third test=89    Hope this helps please mark brainliest it helps a lot! Thanks!

Step-by-step explanation:

According to the question, here we got to know that John scored 72 points in the first test

In the second he scored higher than the 1st test

In the third he scored 1 mark more than the second test

His average in the three tests was 83

So,

Let's the marks scored in the 2nd test be x

Hence, in the third test he got x + 1

Average is 83

[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]

Find the angles of a triangle which are in the ratio 4:3:2.​

Answers

Answer:

80o, 60o, 40o

Step-by-step explanation:

The sum has to add up to 180 degrees because of the three sides and this is what matches.

Answer:

Let the given angles of the triangle be 4x, 3x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

4x+3x+2x = 1809x = 180x = 180/9x = 20

Hence, the angles of the triangle are -

4x = 4×20 = 80°3x = 3×20 = 60°2x = 2×20 = 40°

A recipe asks for 4 1/2 pounds of chicken.

How many pounds of chicken are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Enter the answer in the box.

Answers

Answer:

2/1/2 you need 2and 1/2 of chicken

A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?

Answers

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

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PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.

Answers

Look at the photo.........................

Answer:

x = 8, y = 89/9

Step-by-step explanation:

Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:

(12x-28) + (9y-77) = 180 ->

12x + 9y = 185.

Then,

(7x+12) = (12x-28) ->

x = 8.

We can plug that into the last equation:

12(8) + 9y = 185 ->

y = 89/9

:)

Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.






Statement

Reason

1. and bisect each other. given
2. WA = YA
XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a
parallelogram.

definition of parallelogram

Answers

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?

Answers

Answer:

You told me to resolve this question

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