In the accompanying diagram. altitude CD is
drawn to the hypotenuse of right triangle ABC. If
AD - 9 and AB = 13. find CD.

Someone help me please

In The Accompanying Diagram. Altitude CD Isdrawn To The Hypotenuse Of Right Triangle ABC. IfAD - 9 And

Answers

Answer 1

To Find :

The value of side CD.

Solution :

Applying Pythagoras theorem in ΔABC :

[tex]AC^2 + CB^2=AB^2 \\\\AC^2 + CB^2 = 13^2[/tex]     ....1)

Applying Pythagoras theorem in ΔACD and ΔCDB :

[tex]AD^2 + CD^2 = AC^2[/tex]     ....2)

[tex]CD^2 + DB^2 = CB^2[/tex]     ....3)

Adding equation 2 and 3, we get :

[tex]AC^2 + CB^2 =AD^2 + 2CD^2 + DB^2[/tex]   ...4)

Solving equation 1) and 4), we get :

[tex]AD^2 + 2CD^2 + DB^2 = 13^2\\\\9^2 + 2CD^2 + ( 13 - 9 )^2 = 13^2\\\\2CD^2 = 72\\\\CD = 6[/tex]

Therefore, length of CD is 6 .


Related Questions

The chart below shows the density of three different liquids. Which illustration correctly shows how these liquids would appear if they were poured slowly into a cylinder?

Answers

Answer:

A

Step-by-step explanation:

Though i am unable to attach an image of the question here. However, i will do my best to explain quite well.

The densities of the liquids are;

A - 13.6 g/ml

B- 0.8 g/ml

C- 1.0 g/ml

The most dense liquids will be found at the bottom while the least dense liquid is topmost liquid. This implies that A will be found at the bottom followed by C and finally B.

Please help me with the work! Thanks

Answers

Answer:

i cant see te pic that good

Step-by-step explanation:

8-4/6-12 =2/3 then 2/3*15=10

What is the solution to this system of equations?
10
8
6
y = x + 6
y = -0.5x + 3
4 2
2
O A. (-1,2)
OB. (-2,4)
O C. (2, -1)
O D. (4,-2)

Answers

Answer:

it is B

Step-by-step explanation:

Look at where both of the lines meet from there you can find that (-2,4) is the solution

The solution to the system of equations is (x, y) = (-2, 4).

Option B is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can solve this system of equations by setting the expressions for y equal to each other and solving for x, then substituting the value of x into one of the equations to find the corresponding value of y.

y = x + 6 ...(1)

y = -0.5x + 3 ...(2)

Setting equations (1) and (2) equal to each other gives:

x + 6 = -0.5x + 3

Solving for x, we get:

x + 0.5x = 3 - 6

1.5x = -3

x = -2

Substituting x = -2 into equation (1), we get:

y = -2 + 6

y = 4

Therefore,

The solution to the system of equations is (x, y) = (-2, 4).

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In order to prove the triangles pictured below as congruent BY SAS, we would need to know ___

a. AB≅AD
b. angle BAC≅angle DAC
c. angle ABC≅angle ADC
d. angle BCA≅angle DCA

Answers

Answer: D

Step-by-step explanation: i got it right

In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?

Answers

Answer:

First 0.1 miles: 32 seconds

Last 0.1 miles: 28 seconds

Step-by-step explanation:

The car traveled 0.2 mile in 60 seconds.

The last 0.05 miles were done in 12 seconds.

Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 =  48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s

At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.

In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds,  making a total of 16+12 = 28 seconds

Find the value of each variable that makes the equation true.
1. 89 = 1
2. 94.9-6 = 96
3. 5-3.2-3 = 100

Answers

What’s the equation?
Wait what’s the equation?

What is the value of k^16 - 16^k, if x = 13^2 * 15^4 * 17^6 * 19^8 and is a multiple of 16^k, where k is a whole number?

Note: ^ means to the power of

Answers

Answer:

I tried but I kept getting weird numbers

Step-by-step explanation:

Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?

Answers

Answer:

834*3 + 1058*4 = ___

2,502 + 4,232 = 6,734 feet of wood

Step-by-step explanation:

Answer:

6734 is the answer.

Step-by-step explanation:

834 x 3 = 2502.

1058 x 4 = 4232.

2502 + 4232 = 6734.

The rabbit population in a certain area is 300​% of last​ year's population. There are 900 rabbits this year. How many were there last​ year? *
A - 300 rabbits
B - 2,700 rabbits

Answers

I believe it would be A

Answer:

-300

Step-by-step explanation:

What are the zeros of the function

Answers

the zeros are -2 & -4

Part A How can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y?

Answers

Step-by-step explanation:

The magnitude of the 2D vector is sqrt[x² + y²].

wrong answer sorry bout that

How much will a 100% affect my grade if I have 42%
please I got a 0 and it dropped my grade by half and if I have an F I have to go in person

Answers

Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

Find the volume of a hemisphere of radius 5 cm.​

Answers

Answer:

the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.

Step-by-step explanation:

A bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to a blue marble if he picks a marble 200 times

Answers

Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

D
Question 9
1 pts
The amount of money you collect after washing x cars at a car wash and asking for
donations is represented by the function y = 8x + 19.
Find the domain of the function and determine whether it is discrete or continuous.

A) x= 8, 9, 10, ...; discrete
B) x=0,1,2,...; discrete
C) x > 0; continuous
D) x > 8; continuous

Answers

Answer:

B) x=0,1,2,...; discrete

Step-by-step explanation:

Given

Function y = 8x + 19

x is the number of cars so it should be a whole number so the domain is discrete

Correct option is B

There are 33 times as many boys as girls in a room. If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally

Answers

Answer:

here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?

8 girls

24 boys

There were 24 boys and 8 girls in the room originally.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Given that there are 3 times as many boys as girls in a room.

If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room.

Let's assume the number of boys would be b

And the number of girls would be g

According to the given condition, the required solution would be as:

b = 3g               ....(i)

b - 4 = 5 (g - 4) ....(ii)

Substitute the value of b = 3g in equation (ii), and solve for g

3g - 4 = 5 (g - 4)

3g - 4 = 5g - 20

5g - 3g = 20 - 4

2g = 16

g = 8

Substitute the value of g = 8 in equation (i), and solve for b

b = 3 × 8

b = 24

Hence, there are 24 boys and 8 girls in the room.

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WILL GIVE BRAINLIEST TO 1st ANSWER PLEASE HELP!



Which set of pairs is linear and non-linear


1. (2,1), (3,4), (5,6), (2, 7)


2 (3,1), (−3, 1), (0,1), (5,1)


3 (1,1), (2,2), (3,3), (4,4)


4. (4,1), (6, 7), (8, 9), (4,7)


(2,4), (2,5), (2,6), (2,8)

Answers

Answer: 1. Not linear. 2. Linear. 3. Linear 4. Not Linear. 5. Linear.

Step-by-step explanation:

What is the unit price for trail mix if a 8 ounce bag cost $2.80.

Answers

1 ounce for every 38 cents hope this helps

Select Rational or irrational to classify each number

Answers

4/5 is rational. sqr(4)/5 is rational. pi is irrational and sqr(25)/4 is irrational

Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.

Answers

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Step-by-step explanation:

Examining the response options:

A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.

No, as y = 25 not 20 and x = 5 .

A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.

No, y =64 not 48 and x= 4.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.

No, y= 25+3*45= 160 not 90 and x = 3.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.

Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.

Answer:

C

Step-by-step explanation:

Did the quiz! :D

Can someone explain how to work this out?

Answers

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.

Answers

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option of three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 13of the tickets on video games, and the rest of the tickets in the batting cage. Marcus says he used 10% of the tickets in the batting cage. Do you agree? Explain.

Answers

Given :

Marcus bought a booklet of tickets to use at the amusement park.

He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.

To Find :

Marcus says he used 10% of the tickets in the batting cage.

Solution :

We know sum of all the percentage should be equal to 100.

So,

( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100

Let, % of ticket spend on batting cage is x.

50 + 13 + x = 100

x = 100 - ( 50 + 13 )

x = 37%

So, Marcus used 37% in batting cage.

Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.

No, i do not agree. To find this out, we will have to convert all of them into either decimals or percents. Let's convert these all into percents. A percent means 'out of 100', so if we add the percents all together, they should equal to 100. The rides is 50%. To convert 1/3 into a percent, divide the numerator by the denominator. You will get a decimal, so then multiply that by 100 or move the decimal two places to the right. So, 1 divided by 3 is equal to approximately 33%. Let's add 50 and 33 together. The total is 83%. So, like I said, a percent is out of 100. Subtract 83 out of 100 and you will get 17. So, the remaining percent has to be 17 percent, not 10%.

Hope it helps :)

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

Answers

Answer:-

x=17

step-by-step Explanation:-

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Solution:-

Given angles

(6x+10°)(x+17°)(4x-34)°

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

Substitute the values

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

Remove brackets

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

Together like polynomials and constants

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

Interchange sides

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

Simplify

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Someone able to solve this ? Please

Answers

Type it into Desmos graphing calculator it is so helpful.


Have a merry Christmas!
Answer: x = -8, -3, 2, 7

Explanation:

Based on the graph, you look at each time the graph intersects the x-axis since it’s asking when y = 0.

9. Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year.

Answers

Complete question :

Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.

Answer:

y = 850 + 100x

y = 850 + 1.08^x

Step-by-step explanation:

SCHOOL A:

Initial Number of students = 850

Increase per year = 100

SCHOOL B:

Initial Number of students = 850

Increase per year = 8%

Let the total number of students after x years = y

Hence,

SCHOOL A:

y = initial population + 100 * Number of years

y = 850 + 100x

SCHOOL B:

Using the growth rate relation

y = initial population + (1 + rate per year)^number of years

y = 850 + (1 + 0.08)^x

y = 850 + 1.08^x

If a $1000 computer is marked off 35%, what is the sale price?

A) $300

B) $350

C) $650

D) $1350

Answers

What I did was I took the $1000 and subtracted the percent off (35% equals 350)

[tex]1000 - 350 = 650[/tex]

The total cost of the sale price is $650 (C)

Thank you! btw can i please get brainly :3

Answer:

650

Step-by-step explanation:

1000-350=650

Anna is plotting points for a rectangle in the coordinate plane. She plots (4, -3), (4, 0), and (-2, 0). Which could be the coordinate pair that Anna plots in the third quadrant?
a) (2,3)
b) (-2,3)
c) (2,-3)
d) (-2,-3)

Answers

the answer is d, because if you plot all the other coordinates, you need to plot a point in (-2,3) to get a straight rectangle.

Please help I am bad at math and need to be somewhere soon so please help me asap

The band booster and the athletic booster clubs sell tickets for a fund-raiser. The band booster sells eight more than twice the number of tickets the athletic booster sells. The band booster club sells 280 tickets. Find the number of tickets the athletic booster club sells.

A. 144 tickets
B. 132 tickets
C. 136 tickets
D. 148 tickets

Answers

Answer:

C

Step-by-step explanation:

(280 - 8)/2 = Athletic booster tickets

(280-8)/2 = (272)/2 = 136

in ACE, G is the centroid and BE = 9. find BG and GE ​

Answers

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

What is centroid?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

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Other Questions
A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, the surveyor determined that school A is at (7, 12), and school B is at (21, 13). The scale of the map is 1 unit = 100 meters.Which vector represents the path from school A to school B, and what is the actual distance between them?a) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 37.54 metersb) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 3,754 metersc) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 37.54 metersd) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 3,754 meters come in my free candy van located at Skellerupvej 43, 8600 Silkeborg, Denmark 1 What is the approximate altitude of Polaris when viewed from New York City? What is Stopping Polential? An unknown organic compound composed of carbon, hydrogen, and oxygen was analyzed and found to be 50.84% C, 8.53% H, and the rest oxygen. What is the empirical formula If you dont discover a management technique to restore nutrients to your soil, what will happen to your crops? Select all that applyA.Your vegetables will win prizes for being unusually large.B.Anything you grow will be at high risk for pesticides and diseases.C.Your land could stop producing vegetables altogether.D.Your land will be worth less money. During economic downswings output falls faster than employment, and the ratio of output to workers falls. employment falls faster than output, and the ratio of output to workers falls. output falls faster than employment, and the ratio of output to workers rises. employment falls faster than output, and the ratio of output to workers rises. According to the law of conservation of matter, the number of _______ is not changed by a chemical reaction. A. products B. molecules C. atoms D. bonds Why is the principle of periodic motion used in pendulum and quartz clocks?[please answer fast I will mark you as the brainliest :-) ] If the USA can produce 12,000 personal computers or 16,000 TVs, and Japan can produce 10,000 personal computers or 30,000 TVs, then it follows that a. the USA does not have an absolute advantage in TVs. b. the USA does not have an absolute advantage in computers. c. Japan has an absolute advantage in both TVs and computers. d. the USA has an absolute advantage in both TVs and computers. Why did british partitioned bengal in 1905 EXTRA POINTS AND WILL MARK BRAINLY!Which statement is not true about the summer solstice in the Northern Hemisphere?A.It has more direct sunlight.B.It occurs around July 21 every year.C.It has longer daylight hours.D.It occurs around June 21 every year. Which of these best describes equity?a. The amount of interest you pay your lender on your mortgage loan.b. The amount of money you need set aside for home repairs.c. The difference between what you owe the lender for the mortgage loan, and what your home is worth. Liz travels at a constant velocity of 65 miles per hour toward Tucson. Tucson is 275 miles away. How long will it take her to get there? Dino's Dinosaur rental has two packages for renting a dinosaur costume.Package #1: $50 initially to reserve the costume and $10 per hour to use the costumePackage #2: $35 initially to reserve the costume and $15 per hour to use the costume Which item does Peter carry in his backpack to remember his mother? A.a box of her favorite teaB.her gold charm braceletC.her gardening glovesD.her candy-cane-striped kneesocks The wolf population of a park was 200 in the year 2000. It increased by 20% from 2000 to 2005. It then increased by 15% from 2005 to 2010. What was the wolf population in the park in 2010? a projectile is fixed from ground level with a velocity 500m/s at 30 degree to the horizontal .find its horizontal range, the greatest height and time to reach the greatest height. (y 5) = 2/3 (x + 2) Write the ratio as a fraction in simplest form 24 nickels to 48 nickels