A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Answers

Answer 1

Answer:

8 cm

Step-by-step explanation:

A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Solution:

Since the radius of the circle is 13 cm, hence:

BF = BD = BE = 13 cm.

For line segment BE; BE = BC + CE

BE = BC + CE

13 = BC + 1

BC = 13 - 1

BC = 12 cm

AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)

Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:

BD² = AB² + AD²

13² = AB² + 12²

169 = AB² + 144

AB² = 169 - 144

AB² = 25

AB = √25 = 5

For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:

BF = AB + x

x = BF - AB

x = 13 - 5

x = 8 cm

A Circle With Center B And Radius 1cm Has Three Distinct Points, F, D And E, On Its Circumference So

Related Questions

Solve for x.

PLease need help

Answers

Answer:

x=7

Step-by-step explanation:

22x-4=7x-4+105

cancel both 4 out

22x=7x+105

15x=105

x=7

Find the value of x.
102
146
120
124
x
158
X

Answers

Answer:

x = 70

Step-by-step explanation:

180* (n-2)

180*(6-2)

180*(4) = 720

102 + 146 + 120 + 124 + 158 = 650

720 - 650 = 70

A polygon is a planar figure characterized by a limited number of straight-line segments. The value of the x is 70°.

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angles of a n-sided polygon is calculated using the formula,

Sum of the interior angles = (n-2) × 180°

For the given polygon, the number of sides is equal to 6. Therefore, the sum of the interior angles of the polygon is,

Sum of the interior angles = (6-2) × 180°

                                            = 4 × 180°

                                            = 720°

Further, the sum of the interior angles for the given polygon can be written as,

Sum of the interior angles = 102° + 146° + 120° + 124° + 158° + x°

720° = 102° + 146° + 120° + 124° + 158° + x°

x = 720° -  (102° + 146° + 120° + 124° + 158°)

x = 720° - 650°

x = 70°

Hence, the value of the x is 70°.

Learn more about Polygon here:

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The quotient x divide 5 is a negative integer. Name two
integers that x could represent and find the quotients

Answers

Answer:

Herk in a boo

Step-by-step explanation:

Please help me thankss

Answers

Answer:

1/2

Step-by-step explanation:

you can find the ratio by doing 12 / 6 and you will get 2 then you dump a 1 over the 2 to get 1/2 that's not how it works in all tho

Answer:

1:1

Step-by-step explanation:

if the rule was 1:2 then they would have won 4 games so its 1:1

solve or check ' whether your answer is correct or not 3x -9=12​

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 21 ÷ 3

x = 7

x = 7..................

This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out the problems:
1. Convert 101 with an exponent of 2 to base 10
2. Convert 2A3 with an exponent of 16 to base 10
3. Covert 173 to base 3
4. Convert 177 to base 16

Answers

Answer:

1) 10^2 + 1

2) ?

3) 2(3^3) + 11

4) 16^2 - 79

Step-by-step explanation:

1) 101 = 100 +1 = 10^2 +1

2) ?

3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11

4) 177=256-79 = 16^2 -79

Pls mark Brainiest :)

Use the Distributive Property and write the sum of the number as the product of the GCF.
30 + 12

Answers

Answer:

1,2,3 and 6 is the answer

HELLPP PWEASEEEE :( im confused

Answers

Answer:

18 seconds

Step-by-step explanation:

according to the question

-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)

-16t²=-5184

t²=-5184/-16

t²=324

t=√324

t=18

Find the original price of a pair of gloves that is $16 after a 20% discount.

Answers

Step-by-step explanation:

16 = 20% to get to 80% we need to times by 4 so it adds up to 100%

64=80%

the orginal price was 64 dollars

pls i need help with the attachment its my hw

Answers

Answer:

C

Step-by-step explanation:

It has to be c by process of elimination the circle has to be filled in and on the #5 and as you can see the only one was C

Answer:

D

Step-by-step explanation:

Solving the inequality

2x + 3 ≤ 5 ( subtract 3 from both sides )

2x ≤ 2 ( divide both sides by 2 )

x ≤ 1

The required number line will have a solid circle at x = 1 and the arrow will be going left.

The only graph with these conditions is D

5. Which expression is equivalent to (2p + 4)(2p – 4)?
A 4p2 + 16p – 16
B (2p)2 – 2(2)(4) + 42
C 2p2 – 42
D (2p)2 – 42

Answers

Answer:

[tex] {4p}^{2} - 16 [/tex]

I think I'm wrong or you're wrong.

I don't know but hope it's helpful ❤❤❤

THANK YOU.

Maria and Veronica were asked to add two whole numbers. Instead, Maria subtracted the two numbers and got 10 while Veronica multiplied them and got 651. What was the correct sum

Answers

Answer:

31 + 21 = 52

Step-by-step explanation:

Calculation for the correct sum

First step is to factor 651 which means that 1 * 3 * 7 * 31 will give us 651

Second step is to find 3 possibilities numbers that will give us 10 as the difference

3 possibilities numbers =(31, 21), (93, 7), (217, 3)

Third step is to make use of equation 1 to find the numbers that has 10 as the difference among the 3 possibilities numbers

The number that has 10 as the difference is (31, 21) because 31-21 will gives us 10

Now Equation 1 = X – Y = 10

Where,

X=31

Y=21

Hence,

31 – 21 = 10

Since 31 – 21 gave us 10 as the difference which means that the correct sum will be:

Correct sum =31 + 21 = 52

Therefore the Correct sum is 31 + 21 = 52

brainliest. follow anything . box of chocolates contains seven milk chocolates and six dark chocolates. Five of the milk chocolates and four of the dark chocolates have peanuts inside. You randomly select a chocolate and eat it. What is the probability it is a dark chocolate with peanuts?
options=2/3, 4/13, 11/13 and 8/13

Answers

Answer: 4/13

Step-by-step explanation: There are a total of 13 chocolates, and 4 of those are dark chocolate with peanuts.

Probability that the chocolate you eat is a dark chocolate with peanuts is 4/13.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total number of milk chocolates = 7

Total number of dark chocolates = 6

Number of milk chocolates that have peanuts inside = 5

Number of dark chocolates that have peanuts inside = 4

Total number of chocolates = 7 + 6 = 13

Probability that the randomly selected chocolate is a dark chocolate with peanuts = 4/13

Hence the required probability is 4/13.

To learn more about Probability, click :

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Answer the question in the picture above.

Answers

Answer:

m is less than A apparently

Step-by-step explanation:

Please help will give 20 points

Answers

Answer:

not sure but i think its B

Write an equation in point-slope form with a slope of m=3 and passes through the point (4,-5).

Answers

Answer:

y+5=3(x-4)

Step-by-step explanation:

hope this helped :)

What is the value of 8(3 + x) when x = 7?

Answers

Answer:

80

Step-by-step explanation:

8(3+7)=80

A 9-kilogram bag of cement costs $36.36. What is the unit price?
per kilogram

Answers

Answer:

$4.04 per kilogram of cement.

Step-by-step explanation:

36.36/9 = 4.04

plz answer for 35 points​

Answers

The answer is b I think hope this helps

Answer:

The answer is B.

Step-by-step explanation:

Find the perimeter of a rectangle whose one side measures 20m and diagonal is 29m​

Answers

Answer:

Option A

Step-by-step explanation:

Answer:

1.You draw the rectangle and label on one side 20m

2.Draw a diagonal line inside the rectangle an label the line as 29m

3.Extract the the newly formed right angled triangle.

4.Find the hypotenuse (a+b=c) of the right angle which will give you the value of the unknown side.

5.Calculate the perimeter which is;

P=S+S+S+S

P= 20m+9m+20m+9m

P=29m+29m

P=58m

3-2(3x+1)=19
How would I solve this equation?​

Answers

Step-by-step explanation:

3-2(3x+1)=19

[tex]3 - 6x - 2 = 19 \\ 1 - 6x = 19 \\ - 6x = 19 - 1 \\ - 6x = 18 \\ x = - 3[/tex]

Carrie got a $65 gift certificate. She plans to buy a $12 rose bush and as many seed packets as she can for $1.79 each. Which of these inequalities shows x, the number of seed packets she can buy?

Answers

Answer:

she can buy the rose bush and 29 packets of seeds. So i think X= 29

Step-by-step explanation:

Jeffrey went to the Outlets to buy some clothes. He bought a pair of pants for $59.99 and a nice shirt for $32.00. He read a sign saying that he would receive 30% off for all purchases. How much did Jeffrey spend?​

Answers

Answer: 64.39 dollars

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

Explanation:

Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.

However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.

Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars

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

As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39

The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%

Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.

BRAINLIEST IF RIGHT!​

Answers

good good why I cant pemskananswjjaansjajaja

A cyclist travels 15 miles in 45 minutes.
What is his average speed in mph?

Answers

The cyclist’s average speed in mph is 20mph

The answer is 20 Km/hr

first : you have miles . then change it into Km .

second: 45 min to sec

finally speed is the distance per unit time

Can anybody help me with these two !
Don’t answer if you do not know please
I’ll mark you as a brainliest:) .

Answers

Answer:

Step-by-step explanation:

a) Since we know that y=x^3, we can plug the values in

They would be: (-2)^3, (-1)^3, (0)^3, (1)^3, and 2^(3)

Which would be -8, -1, 0, 1, and 8

b) since we know that y=x, we can plug the values in

They would be -2, -1, 0, 1, and 2 because x = y

Hope this helps! :)

Answer:

y=x^3     -2,-8, -1,-1   0,0   1,1   2,8

y=x  -2,-2    -1,-1   0,0   1,1  2,2

Step-by-step explanation:

solve. -0.63 ÷ -0.7 = ill give brainiest

Answers

Answer:

0.9

Step-by-step explanation:

plz brainliest

Answer:

0.9

Step-by-step explanation:

Highest common factor of 220 and 88

Answers

The answer is 44 if I’m correct
GCF of 220 and 88 is 44.

What is the area?Write your answer as a fraction or as a whole or mixed number

Answers

Answer:

83 3/10

Step-by-step explanation:

multiple the numbers

Write an exponential function in the form y=ab^x that goes through points (0,9) and (3, 576)

Answers

Answer:

An exponential function in the form y=9(4ˣ)

Step-by-step explanation:

Step(i):-

Given that exponential function

                  y = a bˣ ...(i)

The equation (i) passes through the point (0,9)

               9 = a (b )⁰ = a

             a =9

Step(ii):-

The equation (i) passes through the point (3,576)

            576 = 9(b)³

         ⇒    [tex]\frac{576}{9} = b^{3}[/tex]

      ⇒     64 = b³

     ⇒     4³ = b³

             [tex](4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }[/tex]

             b = 4

Final answer:-

An exponential function in the form y=abˣ

An exponential function in the form y=9(4ˣ)

 

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