Solve for line segment AB

Solve For Line Segment AB

Answers

Answer 1

Answer:

AB = 32

Step-by-step explanation:

Given:

AD = 40

CD = 9

Required:

Find the length of segment AB

Solution:

BC and CD are radius of the circle. Therefore,

BC = CD = 9

AB = AC - BC

AB = AC - 9

We need to find AC

Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.

Therefore, we can apply Pythagorean theorem to find AC.

Thus:

AC² = AD² + CD²

AC² = 40² + 9²

AC² = 1,681

AC = √1,681

AC = 41

Let's find BC:

AB = AC - 9

Plug in the value of AC

AB = 41 - 9

AB = 32


Related Questions

To rent a certain meeting room a college charges a reservation of $47 and an additional fee of $7.90 per hour the film club wants to spend less than $86.50 on renting the meeting room what are the possible amount of time for which they could rent the meeting room used T for the number of hours in meeting room is rented and solve your inequality for T

Answers

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

X
1 point
Mr.Boxer has organized the features of a credit card and a debit card into the table below. Which description is the best representation for the
missing detail?
CREDIT CARD
DEBIT CARD
?
purchases are withdrawn
immediately from bank
account
may not spend more than
your credit limit
may not spend more than
the balance of the
account
purchases are subject to
interest
no interest charged on
purchases

Answers

Answer:

Purchases are not withdrawn immediately from bank

Step-by-step explanation:

In case of credit cards, purchases are not withdrawn immediately from bank in fact the transaction needs approval and verification from the bank. Once the bank verify with the customer regarding the transaction requested, it will not allow money to flow from one account to other.

Identify the terms,like terms,coefficient and constants

Answers

Terms: -4j, -2, -5j, 6
Like Terms: -4j and -5j, -2 and 6
Coefficients: -4, -5
Constants: -2, 6

line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?

Answers

Answer: Section formula

Step-by-step explanation:

Given

The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2

To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.

We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

PLEASE HELP
2n-200 but n = 150

Answers

Answer:

Just plug in where n is= 150 then solve the answer is 100

Step-by-step explanation:

2(150)-200

The answer is 100
N=150
So 2 times 150 is 300
300 minus 200 is 100

3.) 7:14. Find the value ofr

Answers

Answer:

1:2 all you have to do is simplify

How much more would the value of y be on the graph than its value
in the table when x = 12? (1 point)

Answers

Answer:

180

Step-by-step explanation:

From the table :

Slope :

m = (y2 - y1) / (x2 - x1)

m = (100 - 80) / (5 - 4)

m = 20 / 1

m = 20

y = 20x

Hence, when, x = 12

y = 20 * 12

y = 240

From the graph:

Slope :

m = (y2 - y1) / (x2 - x1)

m = (280 - 70) / (8 - 2)

m = 210 / 6

m = 35

y = 35x

When x = 12

Graph :

y = 35 * 12

y = 420

Difference :

420 - 240

= 180

Write any two laws of indices in division and multiplication​

Answers

Answer:

The first law: multiplication. If the two terms have the same base (in this case. ...

The second law: division. If the two terms have the same base (in this case. ...

The third law: brackets. If a term with a power is itself raised to a power then the powers are multiplied together. ...

Negative powers. ...

Power of zero. ...

Fractional powers.

Step-by-step explanation:

Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?

Answers

Answer:

664 miles by only going to work not coming back.

Step-by-step explanation:

Eleanor can type 10 pages in 22 minutes. At this rate, how long will it take her to type 93 pages?

Answers

Step-by-step explanation:

[tex]93 \times 22minutes = 2046 \\ \frac{2046}{10} = 204.6minutes[/tex]

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

4.123 km

Step-by-step explanation:

a squared = c sqaured - b squared

a squared = 9 sqaured - 8 squared

a squared = 81 - 64

a squared = 17

a = root 17

a = 4.123 km

Answer:

4.1 it is rounded to the nearest tenth already

While in flight, some hummingbirds can flap their wings about 500 times in 10 seconds

Answers

Is this a true or false?

Answer:

50 times in 1 second

Step-by-step explanation:

I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)

Write the ratio as a fraction in simplest form. Use / for fraction. Do NOT use any labels, and Do NOT type any spaces. Type the fraction only. 2 feet to 20 feet.​

Answers

Answer:

It would be 1/10

Step-by-step explanation:

The ratio is 2:20

To put the ratio in fraction form you simply put 2/20

Then divide the fraction by 2 to get 1/10

i need help with 3c+5=17

Answers

Answer:

4

Step-by-step explanation:

move the constant to the right 3c+5=17

calcute 3c=17-5

divide both sides 3c=12

so the answer is 4

4, subtract 5 from each side giving you 12. And then divide 3 to get c alone. 12/3 = 4. To check plug in 4. (3x4)+5= 17

Which of the following “transformations” would be an example(s) of a rigid motion?
Group of answer choices

Bread rising

All of these answers

A deck of cards shuffled

A painting is moved to a new location on the wall

Answers

Answer:

a deck of cards

Step-by-step explanation:

Wish u could help but I can’t

What is the product of 2r2 - 5 and 3r

Answers

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

5) Mrs. Bell went bowling again. Her bowling scores were 100, 172, 85, and 92. She wants
her average to be 115. What does she need to bowl on the next game?

Answers

Answer: She needs to bowl 120 or more on her next game.

Step-by-step explanation:

The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help

Answers

Answer:

G. 25%

Step-by-step explanation:

given : The price of a video game was reduced from $60 to $45 .

$60 - $45 = $15

then, the percentage was the price of the video game reduced :-

reduction in price/previous price x 100 = 15/60 x 100 = 25%

the percentage was the price of the video game reduced = 25%

Laetisaric acid is a compound that holds promise for control of fungus disease in crop plants. The accompanying data show the results of growing the fungus Pythium ultimum in various concentrations of laetisaric acid. Each growth value is the average of four radial measurements of P. ultimum colony grown in a petri dish for 24 hours; there were two petri dishes at each concentration.
Laetisaric acid X | Fungus Growth Y
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
30 | 10.0
Mean
11.500 | 23.642
sd
10.884 | 7.8471
v. State the slope and interpret its meaning in context.
vi. SS(resid)=16.7812. Use this to compute se.
vii. Show what needs to be calculated for a 95% prediction interval for x = 20. (fill in all the values in the equation but do not evaluate.)

Answers

r = - 0.98754

Answer:

Slope = - 0.7120

SE = 1.295

Step-by-step explanation:

Given the data:

0 | 33.3

0 | 31.0

3 | 29.8

3 | 27.8

6 | 28.0

6 | 29.0

10 | 25.5

10 | 23.8

20 | 18.3

20 | 15.5

30 | 11.7

Using the relation to Obtian the slope :

Slope, b = r(Sy/Sx)

r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values

r = - 0.98754

Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120

SE = √SSresidual / df

df = n - 2 = 12 - 2 = 10

SSresidual = 16.7812

SE = √(16.7812/ 10)

SE = 1.295

What is the volume of a cylinder of a radius if 12cm and height 8cm

Answers

Answer:

V≈3619.11cm³

Step-by-step explanation:

Answer:

3619.11 cm³

Step-by-step explanation:

V = πr²h

π · 12² · 8

3619.11 cm³

an examination started 12.50 pm and lasted for 2 and half hours. at what time did it end​

Answers

Answer:

3: 20 pm

[tex] = > hours = 12 and 2 + 1hour = > 3 \: pm \\ minutes = 30 - 10 = 20 \: minutes \\ it \: ended \: at \: 3 : 20 \: pm[/tex]

Answer:

it ended at 3.20pm

Step-by-step explanation:

12.50 to 1.50 is one hr

1.50 to 2.50 is two hrs

2.50 to 3.20 is two and half hrs

PLEASE ANSWER ASAP FOR BRINELST!!!!!!!!!!

Answers

Answer:

D) 400

Step-by-step explanation:

The proportions are .7 + .8 + .8 + .9 = 3.2

3.2/4 = .8 (The average proportion of Blue Balloons)

500 * .8 = 400 blue balloons

Cynthia is mowing lawns for extra money. The amount of money she made after putting gas in the lawnmower is shown below.

Cynthia's Mowing
Money Made in Dollars 37 77 117 157
Number of Lawns 2 4 6 8

A.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
B.
The amount of money Cynthia made is the 35 more than the number of lawns she mowed.
C.
The amount of money Cynthia made is the 35 less than the number of lawns she mowed.
D.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 plus 3.

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.

What is the product of x2 - 2x +3 and x+1?

Answers

The answer would be 3, 2-2+3, I’m pretty sure.

The average salary for all 27 Arizona Diamondbacks in the 2005 baseball season was $2,308,488, with a standard deviation of $3,427,508. The population, all National League baseball players in 2005, earned an average salary of $2,585,804, with a standard deviation of $3,500,708. Does the average salary of the Diamondbacks players differ from that of all players in the National League

Answers

Answer:

The average salary  of the Diamondbacks players  does not differ from that of all players in the National League.

Step-by-step explanation:

1) Formulate null and alternate hypothesis

H0: u1= u2 Ha: u1 ≠ u2

The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League

against the claim

that the average salary of the Diamondbacks players differ from that of all players in the National League

The data given is

x1`= $2,308,488,  s1=  $3,427,508   and  n1 = 27

x2`=  $2,585,804,      s2=$3,500,708   and n2 = 27

2) The test statistic is

z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)

Putting the values

z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)

z= -0.294

3) The significance level is 0.05

The critical region is Z  =±1.96

4) Since the calculated value of z=  -0.294 is less than the z ∝=±1.96 we  do not reject H0.

5) the P-value can be calculated using the calculator.

The p-value is p = 0.7687

The average salary  of the Diamondbacks players  does not differ from that of all players in the National League.

Angle Relationships

Solve the following right triangle

Determine all the missing sides and angles

a.
BC = 5cm
AC = 4cm
∠B = 27°
∠C = 90°
b.
BC = 4.8cm
AC = 3.6cm
∠B = 37°
∠C = 180°
c.
BC = 4cm
AC = 3cm
∠B = 127°
∠C = 180°
d.
BC = 4.8cm
AC = 3.6cm
∠B = 127°
∠C = 180°

Please select the best answer from choices provided

Answers

Answer:

B.

   BC = 4.8cm

   AC = 3.6cm

   ∠B = 37°

   ∠C =90°

Step-by-step explanation:

I calculated it logically

Answer:

B

Step-by-step explanation:

Edg told me

What is the function equation for the input/output table?

x y
0 0
1.3 3.9
5 15
8 24



y = (3.9) x

y = x + 3

y = 3 x

y = x + 3.9

Answers

Answer:

3

Step-by-step explanation

Your problem statement tells you  

f(x) passes through point (3, negative 1)

g(x) passes through point (3, negative 1)

This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.

16 In a flower fertilisation experiment, the
number of pink flowers grown is twice that
of red flowers. The number of white flowers
grown is 3 more than that of red flowers.
The number of white flowers grown is
37 fewer than that of pink flowers. Find the
total number of flowers grown.​

Answers

Answer:

The total number of flowers grown is 163.

Step-by-step explanation:

Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:

P = 2R

W = R + 3

W = P - 37

W = W

R + 3 = 2R - 37

R + 3 + 37 = 2R

40 = 2R - R

40 = R

P = 2 x 40 = 80

R = 40

W = 40 + 3 = 43

80 + 40 + 43 = X

163 = X

Therefore, the total number of flowers grown is 163.

01:14:51 A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5? 1 13 o colo 100 Next Submit Save and Exit Mark this and return

Answers

Answer:

the probability is 3/8

Step-by-step explanation:

f(x) = 2x3 – 3x2 + 5
g(x) = 3x3 + 2x2 – 4x – 9
Find (f - g)(x).

Answers

Answer This is (3x-23)(23)
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