Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.​

Angle C Is Inscribed In Circle O. AB Is A Diameter Of Circle O. What Is The Radius Of Circle.

Answers

Answer 1

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

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

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {hypo.}^{2} = 225[/tex]

[tex]hypo. = \sqrt{225} [/tex]

[tex]hypo. = 15 \: \: units[/tex]

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 15 \div 2[/tex]

[tex]radius = 7.5 \: \: units[/tex]

Angle C Is Inscribed In Circle O. AB Is A Diameter Of Circle O. What Is The Radius Of Circle.
Angle C Is Inscribed In Circle O. AB Is A Diameter Of Circle O. What Is The Radius Of Circle.
Answer 2

Answer: 7.5

Step-by-step explanation: Khan academy


Related Questions

Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t

Answers

Answer:

First one: 5x3(0.75)2t

and fourth one: 0.05x500(0.005)t

Step-by-step explanation:

In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.

The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.

The second equation has rate = 2.4, so this is not an exponencial decay.

The third equation has rate = 1.04, so this is not an exponencial decay.

The fourth equation has rate = 0.005, so this is an exponencial decay.

Answer:

It's A,C,F

Step-by-step explanation:

I answered it :) and got it right.


Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.

Answers

Answer:

Therefore the largest number that these fractions can be divided by to give them a whole number is

a) 8/15 = The largest number is 8/15

b) 18/35 = The largest number is 18/35

Step-by-step explanation:

A quotient is the result obtained by dividing two numbers.

So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.

Let's assume the whole number is 1

a. 8/15

8/15 ÷ x = 1

8/15 × 1/x = 1

8/15x = 1

We would cross multiply

8 = 15x

We would divide both sides by 15

8/ 15 = x

Hence the largest number that would divide 8/15 and give it a whole number = 8/15

b) 18/35

18/35÷ x = 1

18/35 × 1/x = 1

18/35x = 1

We would cross multiply

18 = 35x

We would divide both sides by 35

18/ 315 = x

Hence the largest number that would divide 18/35 and give it a whole number = 18/35

Answer:

The answer is 2/105

Step-by-step explanation:

first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.

Now, put the GCF you found over the LCM.

ANSWER: 2/105

This fraction is the largest number you can divide both numbers by to get a whole number.

Mrs. Rodriguez bought 3 tickets for a concert. She also paid for a poster at the concert. Mrs. Rodriguez paid a total of $102 for the tickets and the poster. The equation 3t + p = 102 can be used to find p, the amount Mrs. Rodriguez paid for the poster. If Mrs. Rodriguez paid $29 for each ticket, t, then how much did she pay for the poster

Answers

Answer:

15

Step-by-step explanation:

102-(29 x 3)

Answer:

p=15

Step-byexplanation:

3t+p/102

3(29)+p=102

87+p=102

p=15

caden buys 3.9 pounds of grapes that cost $1.80 per pound. which expression can be used to find the total cost of the grapes?

Answers

1.80•3=$5.40
1.80/10=0.18•9=$1.62
$5.40+$1.62=$7.02

The expression that can be used to determine the total cost of the grapes is 3.9 x 1.80.

How can the total cost be determined?

Total cost is the unit cost multiplied by the total quantity of grapes bought. Multiplication is the process of determining the product of a number using a mathematical operation.

Total cost = unit cost x total pounds

3.9 x 1.80.

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All measurements listed are in kilometers. What is the horizontal distance from the plane's starting position to its finishing position? Round your answer to the nearest tenth of a kilometer.

Answers

Complete question:

An airplane takes off, levels off, and lands according to the diagram shown below.

All measurements listed are in kilometers. What is the horizontal distance from the plane's starting position to its finishing position? Round your answer to the nearest tenth of a kilometer.

Answer: 13.3km

Step-by-step explanation:

Kindly see attached picture for detailed explanation.

The question is missing data. The full question is here.

An airplane takes off, levels off and lands according to the diagram shown below. All measurements listed are in kilometers. What is the horizontal distance from the plane's starting position to its finishing position? Round your answer to the nearest tenth of a kilometer.

Answer: d = 13.3 km

Step-by-step explanation: The image show 2 right triangels and 1 square. To determine x and y, use Pythagorean Theorem.

To find x:

hypothenuse² = side² + side²

5² = 3² + x²

x² = 25 - 9

x = [tex]\sqrt{16}[/tex]

x = 4

To find y:

7² = 3² + y²

y² = 49 - 9

y = [tex]\sqrt{40}[/tex]

y = 6.32

Now, to determine the total horizontal distance, sum up all the parts:

d = x+y+3

d = 4 + 6.3245 + 3

d = 13.3

The horizontal distance from start to finish position is 13.3 km

solve 2x + 26=2 [5-3x]

Answers

Step-by-step explanation:

2x+26=2(5-3x)

2x+26=10-6x

combination of like terms

2x+6x=10-26

8x= -16

x= -16/8

x= -2

Please help, thank you.

Answers

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

13 POINTS!!!

In ΔABC, c = 4.2 inches, ∠C=24° and ∠A=115°. Find the area of ΔABC, to the nearest 10th of an square inch.

Answers

Answer:

12.9 [tex]in^{2}[/tex]

Step-by-step explanation:

So to find the area of this triangle, you will need to use the equation

Area = [tex]\frac{1}{2}[/tex]c*b*sin(A) = [tex]\frac{1}{2}[/tex]a*b*sin(C)

Here, we have ∠A, ∠C, and side c

We can use the fact that [tex]\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}[/tex] so solve for the other variables we do not have.

First we can find the other angle B. Since ∠A + ∠B + ∠C = 180°,

∠B = 180° - ∠A - ∠C, which is ∠B = 180° - 115° - 24° = 41°

Now that we have all three angles, we can solve for the sides

Since we only have side c, we will manipulate the equation with c and one of the others to solve for a or b. Let's solve for side b first.

Since [tex]\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex], solving for b would give us [tex]b=\frac{csin(B)}{sin(C)}[/tex]. Then plugging in our values we get [tex]\frac{4.2sin(41)}{sin(24)}[/tex]= 6.77 = b

Now we can solve for the remaining side, a, using the same method.

Since [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex], solving for a would give us [tex]a=\frac{bsin(A)}{sin(B)}[/tex]. Then plugging on our values we get [tex]\frac{6.77sin(115)}{sin(41)}[/tex]= 9.36 = a

Now that we have all our angles and sides, we can plug in our numbers to either of our area equations ⇒

Area =[tex]\frac{1}{2}[/tex]c*b*sin(A)= [tex]\frac{1}{2}[/tex](4.2)(6.77)sin(115) = 12.9[tex]in^{2}[/tex] or [tex]\frac{1}{2}[/tex]a*b*sin(C) = [tex]\frac{1}{2}[/tex](9.36)(6.77)sin(24) = 12.9[tex]in^{2}[/tex]

Use properties of operations to write two expressions that are equivalent
to 3/4n + (8 + 1/3z).

Answers

Answer:

(9z+96nz+4n)/12nz

Step-by-step explanation:

3/4n + 8+ 1/3z. distributive property

The required equivalent expression is [9z + 96nz + 4n] / 12nz and the property used is distributive property.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
= 3/4n + (8 + 1/3z)

Using the distributive property for the association,
= 3/4n + 8 / 1 + 1/3z
=  [9z + 96nz + 4n] / 12nz

Thus, the required equivalent expression is [9z + 96nz + 4n] / 12nz, and the property used is the distributive property.

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Hello can someone please help me with this question will give brainliest

Answers

Answer:

X and Y have a weak, negative correlation.

Answer:

The answer is x and y have a weak negative correlation

Step-by-step explanation:

The points do not form a very straight line, so that is considered weak.

The points are arranged from higher on the left to lower on the right, indicating a negative slope.

I hope this helps! :)

Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.


9.5 cm

10 cm

8.5 cm

Answers

Answer:

The height of this cylinder = 9.55 ins

Step-by-step explanation:

Volume cylinder = pi * r² * h = 30 ins

r=1

pi * r² * h = 30

pi * 1² * h = 30 ins

h = 30/pi

h = 9.55 ins

4x - 20 = -2(-3x + 22)

Answers

Answer: x = 12

Step-by-step explanation:

[tex]4x-20=-2(-3x+22)[/tex]

Begin by distributing -2

[tex]4x-20=6x-44[/tex]

Subtract 6x

[tex]4x-6x-20=-44[/tex]

Add 20

[tex]4x-6x=-44+20[/tex]

Combine like terms;

[tex]-2x=-24[/tex]

Divide by -2

[tex]x=\frac{-24}{-2}\\ x=12[/tex]

What type of number is -4\pi−4πminus, 4, pi?
Choose all answers that apply:

(Choice A)
Whole number

(Choice B)
Integer

(Choice C)
Rational

(Choice D)
Irrational

Answers

Answer:

Choice C Rational

Step-by-step explanation:

Answer:

d irrational

Step-by-step explanation:

i did it

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Answers

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

Describe in your own words what a hyperbola is.

Answers

Answer:

A conic section that can be thought of as an inside-out ellipse

Step-by-step explanation:

Hyperbola is a two-branched open curve-conic section.

What is a hyperbola?

Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.

For the given situation,

We need to describe about a hyperbola.

A hyperbola is two curves that are like infinite bows. It is a two-branched open curve, a  conic section produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.

The standard equation of hyperbola is

                     [tex][\frac{x^{2} }{a^{2} }-\frac{y^{2} }{b^{2} }]=1[/tex]

where,[tex]b^2 = a^2 (e^2 -1)[/tex]

a,b are the points on the plane and e is the eccentricity.

Hence we can conclude that hyperbola is a two-branched open curve-conic section.

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Find the first four terms in the sequence an=15+6n.

A. 18, 12, 6, 0

B. 20, 26, 32, 38

C. 21, 27, 33, 39

D. 20, 14, 8, 2

Answers

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

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Carlos bought 80 feet of wire for ​$17.60. He needs 30 more feet. If the unit price is the​ same, how much will he pay for the extra 30 feet of wire​?

Answers

Answer:

Carlos bought 80 feet of wire for ​$17.60.

Then the price for 1 feet of wire is 17.6/80 = 0.22

=> 30 feet of wire would cost: 30 x 0.22 = 6.6

Hope this helps!

:)

True or False: Sine is the ratio of opposite side to adjacent side in a right triangle? *

Answers

Answer:

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos. Finally, the ratio of the opposite side to the adjacent side is called the tangent and given the symbol tan.

6. David leaves the house to go to school He walks 200 m west and 125 m
north. Calculate how far he is from the sting point.

Answers

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

approximate the square root of 110 to the nearest hundreth

Answers

Answer:

10.5

Step-by-step explanation:

since square root of 110 is 10.4880

then we round off to the nearest hundreth

it'll be 10.5

Plz help! Question on picture :)

Answers

Answer:

125 students participated

Step-by-step explanation:

66% + 30% = 96%

100% - 96% = 4%

4% = 5 students

100% ÷ 4% = 25

25 × 5 = 125

125 students participated

Answer:

125 students

Step-by-step explanation:

30+66=96

100-96=4

5 students make up 4%.

100/4=25

25x5=125 students

Order the following steps to explain the correct process for calculating net income.

Reorder answers
1.Subtract the tax withholdings from the gross income.
Reorder answers
2.Convert the tax rate to a decimal.
Reorder answers
3.Multiply the tax, as a decimal, with the gross income.

Answers

Answer:

Convert the tax rate to a decimal so 8.75% becomes 0.875

Multiply the tax, as a decimal, with the gross income so 1,000 x 0.0875 = 87.5

Subtract the tax withholdings from the gross income 1000 - 87.5 = 912.5

Step-by-step explanation:

A plane is descending into an airport. When its altitude is 3 1/2 miles, it is 250 miles from the airport. When its altitude is 1 mile, it is 75 miles from the airport. At 2 1/2 miles, it is 175 miles from the airport. Problem 6 a. If the pilot follows the same pattern, what will the plane's altitude be at 25 miles from the airport? *

Answers

Answer: 1/2 miles

Step-by-step explanation:

Given the following:

Altitude (miles) - - - - - - - - - - distance (miles)

3 1/2 - - - - - - - - - - - - - - - - - - - 250

2 1/2 - - - - - - - - - - - - - - - - - - - - 175

Calculate the plane's altitude at 25miles from the airport

7/2 = 250

5/2 = 175

(7/2 - 5/2) miles = (250 - 175)miles

1 mile = 75 miles

From the above, the plane craft 's altitude reduces by 1 mile for every 75 miles moved

Therefore, at a distance of 25 mile from the airport,

Distance moved = (250 - 25)miles = 225miles

225miles / 75 miles = 3

Therefore, the altitude will reduce by 3 miles from the initial altitude at 250 miles

Therefore,

( 3 1/2 - 3) miles = 1/2 miles

Therefore, the plane craft will have an altitude of 1/2

The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes

Answers

Answer:

$46.

Step-by-step explanation:

We plug m = 3 and c = 4 into the given expression:

Money made =  2*3 + 10*4

= $46.

When we plot all the points that satisfy an equation or inequality we __ it.

Answers

when we plot all the points that satisfy an equation or inequality we GRAPH it

Some Insight: This is a Unit Rate question. Please Answer soon as possible.

Answers

Answer: C

Step-by-step explanation:

Because it only shows a single price and we don’t know what that price is for.

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.

Answers

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

Given,

The drama club is selling tickets to their play to raise money for the show's

expenses.

Each student ticket sells for $4 and each adult ticket sells for $8.50.

The auditorium can hold at most 79 people.

The drama club must make no less than $460 from ticket sales to cover

the show's costs.

If 53 student tickets were sold, determine the minimum number of adult

tickets that the drama club must sell in order to meet the show's expenses.

How to find the number of items from a total cost where each item cost is the same?

We will divide the total cost by the cost of each item.

Example:

Cost of each item = $3

Total cost = $9

Number of items = $9 / $3 = 2

We have,

Student ticket:

Cost of each ticket = $4

Number of tickets sold = 53

Total sell from student tickets sold = 53 x $4 = $212

Adult ticket:

Cost of each ticket = $8.50

Number of adult tickets sold = M

Total sell of adult tickets sold = M x $8.50

Total number of people the auditorium can hold = 79

Minimum amount to make from ticket sales = $460

The remaining amount that needs to sale from adult tickets:

= $460 - $212

= $248

The number of adult tickets sold:

M = $248 / $8.50 = 29

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

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Write the cubic term for the Taylor series expansion of f(x) = sin(x) at c = pi/4

I did the work, can you please check for me whether my work is right?

Answers

Step-by-step explanation:

Close, the second term should have an exponent of 1.

f(x) = f(c) + f'(c) (x−c)¹/1! + f''(c) (x−c)²/2! + f'''(c) (x−c)/3!

f(x) = 1/√2 + 1/√2 (x−π/4) − 1/(2√2) (x−π/4)² − 1/(6√2) (x−π/4)³

HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ

Answers

Answer:

B. 43.3

Step-by-step explanation:

Find the area of one of the triangles:

[tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *5*4.33=10.825[/tex]

10.825*4=43.3

Answer:

B.) 43.3 square centimetres

Step-by-step explanation:

The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:

[tex]A=\frac{1}{2} bh[/tex]

Insert the values:

[tex]A=\frac{1}{2} *4.33*5[/tex]

Simplify:

[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]

Multiply the area of one triangle by 4:

[tex]10.825*4=43.3[/tex]

The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]

:Done

PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE

Which equation represents the line that is parallel to the following?
Y=-3x-4

A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4

Answers

Answer:

A. Y=3x+4

Step-by-step explanation:

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