Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

Answer 1

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Given Circle E With Diameter \overline{CD} CD And Radius \overline{EA} EA . \overline{AB} AB Is Tangent

Related Questions

1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10

Answers

hello!

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

How do I find the surface area of of rectangle

Answers

Area is base•height. If you’re looking for surface area of a 3d rectangle, a rectangular prism, then you do this for all 6 sides and add them together.

100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

Answers

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]S=\frac{D}{T}[/tex]

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,

[tex]T = 5 + \frac{20}{60}[/tex]

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,

[tex]T=\frac{20}{12}[/tex]

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,

[tex]S=\frac{20}{7}[/tex]

S=2.857 kmph

Which expressions are polynomials?
Select each correct answer.

Answers

Answer:

b and d option are correct

Answer:

B, D

Step-by-step explanation:

B, D

x cannot be in a root.  (A)

x cannot be in the denominator.  (C)

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

How do you know if an equation of a line is a vertical line?

Answers

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

The blue dot is at what value on the number line? -3 -1

Answers

Answer:

+2

Step-by-step explanation:

Help! The question is in the image.

Answers

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.

Answers

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

What is scale factor?

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

Surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

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Hello! How to sketch the graph?

Answers

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?

Answers

the customer spent $13 if it's not 13 it's the closest answer too 13

Answer:

$0.85, or 85 cents.

Step-by-step explanation:

To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.

Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.

In the figure shown, what is the measure of angle x?

Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.

100 degrees
110 degrees
120 degrees
140 degrees

Answers

Given:-ABC is a triangle.[tex]\angle[/tex]BAC = 40°.[tex]\angle[/tex]ABC = 70°.

To Find:-Measure of [tex]\angle[/tex]ACD.

Solution:-

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

Quickly before the timer runs out

Answers

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

My sister needs help again quick

Answers

mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Round 2,034,627,105 to the nearest ten thousand.

Answers

Answer:

2,034,630,000

Step-by-step explanation:

2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000

What should we added to -3/20 to get 2 9/20

Answers

Answer:

2.60

Step-by-step explanation:

This is a strange way to solve the problem, but it works for me.

1. Convert to decimals

         -3/20 = -.15

         2- 9/20 = 49/20 = 2.45

2. Solve

     2.45 - (-.15)

     2.45 + .15 = 2.60

If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2

Answers

The surface area of the larger pyramid is 159.21 ft²

How to determine the surface area of the larger pyramid?

The surface area of the small pyramid is given as:

A = 25.49 ft²

The corresponding sides of the pyramids are:

Small = 6; Large = 15

The surface area of the large pyramid is then calculated using:

Area = A * (Large/Small)²

This gives

Area = 25.49 * (15/6)²

Evaluate

Area = 159.21

Hence, the surface area of the larger pyramid is 159.21 ft²

Read more about surface area at:

https://brainly.com/question/4149680

Answer:

159.31

Step-by-step explanation:

Right on Edge

Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.

Answers

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

3a^2 X b/c divided by (3ab)^2

Answers

Answer: 1/3cb

Step-by-step explanation:

i hope this helps

Answer:

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Step-by-step explanation:

[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]

[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Thanks for joining brainly community!

four friends each took different path walking from the lunchroom to the gymnasium

Answers

finish the question..............

Answer:

Part 1- Lydia

Step-by-step explanation:

The full question should be

Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?

The circumference of a circle is 14 cm. Find the radius of this circle

Answers

2.23 should be the radius

Answer:

r ≈ 2.23 cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

given C = 14 , then

2πr = 14 ( divide both sides by 2 )

πr = 7 ( divide both sides by π )

r = [tex]\frac{7}{\pi }[/tex] ≈ 2.23 cm ( to 2 dec. places )

5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.

Answers

D but im not sure about it

What is 2118910 +6221801

Answers

it's simple addition

:- 2118910 +6221801

:- 8340711

Hope it help ~

#MsHacker...

Answer:

8340711

Step-by-step explanation:

the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp?​

Answers

Answer:

M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.

Researchers are studying two different designs of computer keyboards, J and K, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard J to have faster entry times compared with people entering data with keyboard K. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard J and 6 people to keyboard K and recorded the number of seconds each person took to enter the data.

The following dotplots show the observed entry times for the two keyboards.

Keyboard J - 160 180 280 300 200 220 240 260 Entry Time (seconds)

Keyboard K + 160 + 180 280 300 200 220 240 260 Entry Time (seconds)

Explain why it is not appropriate to conduct a two-sample t-test for the difference in population means.

Answers

It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.

What is a  two-sample t-test?

The two-sample t-test is used to determine if two population means are equal.  The purpose of the test is to determine whether the difference between these two populations is statistically significant.

In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore,  it might be more appropriate to compare population medians instead of population means.

Learn more about t-test on:
https://brainly.com/question/6589776

80 wpm how many words typed while typing 12 hours straight

Answers

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

Please help me with this!

Answers

Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

Consider the following polynomial

Answers

Step-by-step explanation:

Degree is 6

Leading coefficient is 5

Constant term is 8

!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!

Answers

I’m not really sure but I’m 80% sure it’s (.2) seconds I did the math and everything several times to make sure I’m not missing anything but I’m going with (.2). Sorry I’m not good at explaining stuff
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