AB¯¯¯¯¯is a radius. CD←→is tangent to circle A at point B, where AB=7 and EC=18. What is BC?

Circle with center point A. Radius AB is drawn. Tangent line CD is drawn and intersects the circle at point B. Segment AC is drawn from the center point A through point E on the circle to point C on line CD. The lengths of segments are not provided.

BC =

Answers

Answer 1

Answer:

BC is 24 units

Step-by-step explanation:

Given that: AB = 7 units

                  EC = 18 units

From a sketch for the question, we have a triangle ABC. Such that:

AC = AE + EC

But,

AE = AB = 7             (radius of the circle)

So that,

AC = 7 + 18

     = 25 units

Applying Pythagoras theorem to triangle ABC, we have:

[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]

[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]

[tex]/BC/^{2}[/tex] = 625 - 49

          = 576

BC = [tex]\sqrt{576}[/tex]

     = 24

Thus, BC is 24 units.


Related Questions

PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?

Answers

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation:

Please answer I promise I will mark you brainiest

Answers

Answer:

1. A=907.92

2. A=113.1

3. A=37.5

   P=35

4. A=234

   P= 75.6

Step-by-step explanation:

Answer:

DID YOU REALLY NEED TO ASK THIS!!!!!!!!!!!!

Step-by-step explanation:

The purchase price of a camcorder is $520. What is the total price if the sales tax rate is 9.5%?

Answers

Answer:

4940

Step-by-step explanation:

well you simply just multiply 9.5 by 520

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and slove an equation to match the situation. :


Equation:________________________

Solution:____ liters of 5% and _____ liters of 40%

Answers

Answer:

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

Solution: 5.71 liters of 5% and 4.29 liters 40%

Step-by-step explanation:

The volume of the 20% acid solution the scientist needs = 10 liters

The concentration of the solution she has = 5% and 40%

Therefore, we have;

X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution

Therefore, we have;

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

0.4·X + 0.5 - 0.05·X = 2

0.35·X = 2 - 0.5 = 1.5

X = 1.5/0.35 = 30/7

∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters

The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters

Therefore, we have;

5.71 liters of 5% solution and 4.29 liters 40% solution.

2/9 × 3/4 =
I REALLY NEED HELP ​

Answers

Answer:

2/9 × 3/4 = 1/2

it's pretty easy

Answer:

0.1666666667 or 1/6

Please help me !! 20 POINTS.

Answers

Answer:

699 + 329 = 1,028

1,028 × 3 = 3,084

Step-by-step explanation:

you add the prices together and and tha answer you get, you multiply by 3.

Hi I need help please, ill give brainliest if your correct

Answers

The answer you marked is correct because AB is parallel to CD and AB is perpendicular to EF

Solve for the value of m

Answers

Answer:

m = 7

Step-by-step explanation:

The 3 given angles lie on a straight line, thus sum to 180° , then

8m - 4 + 90 + 5m + 3 = 180, that is

13m + 89 = 180 ( subtract 89 from both sides )

13m = 91 ( divide both sides by 13 )

m = 7

find two numbers adding to 40 such that the sum of their square is as small as possible

Answers

Answer:

20+20

Step-by-step explanation:

20+20

What is the slope of a line that
contains the points (4, 3) and (-1, -4)?

Answers

Answer:

I believe its -7/5 unless they want -7/-5

Step-by-step explanation:

(4,3) (-1,-4)

X1,y1 x2,y2

And it should be

Y2-y1

X2-x1

-4-3 = -7

Over

-1-4 = -5

So -7/5 or -7/-5 whatever your teacher perfers

Hope this helps

can you help me please​

Answers

Can you repost with the graph?

A cylinder has a base diameter of 4 centimeters and a height of 4 centimeters. What is its volume in cubic centimeters, to the nearest tenths place

Answers

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](2²)(4)

V = 16[tex]\pi[/tex]

V = 50.3 cm³

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = r²h

V = (2²)(4)

V = 16

V = 50.3 cm³

A cupcake baker is baking and selling cupcakes to make money

His equation which shows profit (y) for selling cupcakes at price (x) in dollars

The equation is y= -200(x-3)² + 450

questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?

Answers

Answer:

uhh precious why u stalkin me????

Step-by-step explanation:

find the value of x. PLEASE HELP

I need to show my work.

THANK YOU!!!

Answers

Answer:  x = 22

==========================================

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

------------

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

what do “ p “ equal n this equation p + 13 = 17

Answers

Answer:

4

Step-by-step explanation:

p + 13 = 17

this is one of my specialty finding the missing number

17 - 13 = 4

p = 4

Tammy usually uses her cupcake recipe to make 18 cupcakes, but this time 1 point
she wants to make 36 cupcakes. The recipe calls for 13/4 cups of sugar and
Tammy has 2 cups on hand. How much more sugar does she need?

Answers

Okay so 4 8 12 16 and she has to do its 8 she only needs 1 1/4 cups or 1.1

A road construction crew can repair a 1/2 mile section of road each week. At this rate, how many weeks would it take to repair a road that is 25 1/2 miles long?

Answers

Answer:

51 weeks

Step-by-step explanation:

consider the equation 5x+10=30and [x+10]=30

Answers

Answer:

x=4

Step-by-step explanation:

Pls help and ty, I will give brainlists if it gives me the opion to.
The files below.

Answers

Answer: 15 degrees below zero

Plz mak brainliest

Answer:

1. 10-25 = -15˚

2. 48-6 = 42˚

3. Negative

4. Positive

5. you can probably do that by urself

Step-by-step explanation:

how to do this question plz ​

Answers

Answer:

7.2 pints

Step-by-step explanation:

a) 1 bowl --- 0.3 pints of soup

Since he has 24 bowls,

total amount of soup in the bowls

= 24(0.3)

= 7.2 pints

Thus, Martin put 7.2 pints of soup into the bowls.

help plz !! Which is the graph of an even monomial function?

Answers

Answer:

Imagie 1 and 2

monomial function graph look like this

<3 ily

Red

Answer:

The first image

Explanation:

Hope you have a great day!

Find the length of the rectangle if x= 10.

And find the perimeter if x=10

PLEASE HELP .


Answers

Answer:

34

Step-by-step explanation:

10+2=12

12 on both sides=24

5 on both sides=10

10+24=34

The perimeter of the rectangle is 34 for the given sides.

What is the perimeter of the rectangle?

The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.

Given that the two sides of the rectangle are 5 and x + 2. The value of x is 10.

The perimeter of the rectangle will be calculated as:-

L = 10+2=12

12 on both sides=24

5 on both sides=10

Perimeter = 10+24=34

Therefore, the perimeter of the rectangle is 34 for the given sides.

To know more about the perimeter of a rectangle follow

https://brainly.com/question/24571594

#SPJ2

do not get this please give me the answer

Answers

Answer:

6.25 ft

Step-by-step explanation:

we can use similarity of triangles

[tex]\frac{h}{25}=\frac{5}{20}\\\\\frac{h}{25}=\frac{1}{4}\\\\h=\frac{25}{4}\\\\h=6.25[/tex]

***NOTE YOU GET 37 POINTS FOR ANSWERING QUESTION * A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.

Answers

Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

Find the gradient of the straight line joining A(-4, -1) to B(4, 2)​

Answers

Answer:

The slope of the line is  [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given parameters:

                       A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line;  we use the expression below:

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

      Slope  = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]

     Slope  = [tex]\frac{3}{8}[/tex]

The slope of the line is  [tex]\frac{3}{8}[/tex]

Dan had $10. He bought x pencils, each costing y cents .How much money did Dan have left?

Answers

Answer: Unknown...Well, just simplify.

Step-by-step explanation:

Since it says x and y, that is NOT a number. So the real question is, how can we solve the problem without numbers? Well that's pretty simple and easy. Since we don't know the number, we will just have to simplify. With no actual number, simplifying is basically the answer. Unless, you can find out the answer.

Dan has the amount of money left would be 10 - xy which is the form of an expression.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have to determine the amount of money Dan has left.

We must only generalize since we don't know the exact quantity. Having no method of solving,

Dan had $10. He bought x pencils, each costing y cents which are given in the question.

quantity of pencils = x and cost of pencil = y

As per the given condition, the required solution would be:

⇒ remaining amount = 10 - quantity of pencils × cost of pencil

⇒  remaining amount = 10 - (x) × (y)

⇒  remaining amount = 10 - xy

Therefore, Dan has the amount of money left would be 10 - xy which is the form of an expression.

Learn more about the algebraic expression here :

brainly.com/question/21751419

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At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn
costs $0.40 less than a drink. If he spent a total of $24.00, what was the
cost of each popcorn?


Step by step explanation pls!!!!

Answers

Answer:

P= $2.75

Step-by-step explanation:

So first we need to create our system of equations

since each popcorn is 0.40 less than each drink we can make the equation:

D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.

Next, we create the overall equation:

$24.00 = 3P + 5D

Now plug in D from the first equation into the second equation:

$24.00 = 3P + 5( P + 0.40)

Distribute the five and solve for P:

$24.00 = 3P + 5P + 2

$22.00 = 8P

P = $2.75

Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.

On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?


A.14


B.23


C.415


D.1615

Answers

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

A Health club charges $6 for Spin classes and $5 for Tennis classes to its non-members.
Members pay $440 a year and $3 per Spin class. Assuming you plan to do both activities, hov
nany days do you have to go to the club to justify a membership? Don't forget your units.


HELPPPP

Answers

Answer:

more than 55 days

Step-by-step explanation:

440 a year

6+5=11 per class

minimum number of classes to avail full benefit440/11=40

440+3x= > (6+5)x

8x=440

x=440/8=55

Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 oz. and the average range is 0.4 oz., what is the lower control limit for an x-bar chart for this process?

a. 13.7084 oz.

b. 13.8768 oz.

c. 14.2916 oz.

d. 12.8000 oz.

e. 13.5908 oz.

Answers

Answer:

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

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