Mathematics High School

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

Ms. Raab and Ms. Levy both drink coffee in the
mornings.
Ms. Raab adds 1 more teaspoon to each cup of
coffee than Ms. Levy. Together, they both add 5
teaspoons of sugar to their coffees.
How many teaspoons of sugar does Ms. Raab add?
How many teaspoons does Ms. Levy add?
Set up an equation to show this, and then solve.

Answers

Answer:

Ms Levy = 2

Ms Rabb = 3

Step-by-step explanation:

Let :

Number of teaspoons taken by Ms Levy = x

Number of teaspoons taken by Ms Rabb = x + 1

Total number of teaspoons taken by both = 5

(Number of teaspoons taken by Ms Rabb + Number of teaspoons taken by Ms Levy) = total number of teaspoons taken

x + 1 + x = 5

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence,

Number of teaspoons of sugar added by Ms Levy = x = 2

Number of teaspoons of sugar added by Ms Rabb = x + 1 = 2 + 1 = 3

a triangle has side lengths 6,11 and 14. Is it acute, obtuse or right

Answers

Answer:

acute

Step-by-step explanation:

sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments

This triangle is obtuse.

What is right triangle?

Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three

If a²+b²=c² it is right angled,

If a²+b²>c² it is acute,

If a²+b²<c² it is abtuse,

Substitue the values of a, b and c,

a²+b²= 6²+11² = 157

c² = 14² = 196

Since a²+b²<c²

Hence, this triangle is obtuse.

Learn more about right triangle

brainly.com/question/6322314

#SPJ2

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 100 points to correct awnser pls dont report me good luck

Answers

Answer:

2.876073e+128

Step-by-step explanation:

your welcome

Answer:

2.876073e+128

Step-by-step explanation:

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 = 2.876073e+128

ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank

Answers

Answer:

1 day ; 10^0

Step-by-step explanation:

Given that:

Order received = 10^6 pages

Number of machines = 100

Daily printing capability by each machine = 10^4

Hence, total output per day = (10^4) * 100 = 10^4 * 10^2 = 10^4+2 = 10^6

Number of days required = number of order / daily output

Number of days = 10^6 / 10^6 = 1

In exponent form:

10^6 / 10^6 = 10^6-6 = 10^0

pleaseeee helpppp !!!!!!! Mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

[tex]\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12[/tex]

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

Drake needs to drill holes in a wooden plank. The holes will have a diameter of 0.5 millimeters, with an error allowance of 0.05 millimeters. Which equation can be used to find the minimum and maximum acceptable diameters?

Answers

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

I WILL MARK BRAINIEST
PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

math

6 lines in pretty sure this is the correct answer if not my apologies.

What is the answer? Please Answer it?

Answers

Answer:

2, 5

Step-by-step explanation:

hope this helps

please mark me brainliest

pls help needed asap

Answers

Ok it’s 135 yw if it’s wrong sorry

Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.

Use x to represent paper, write an inequality to model the situation

Answers

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.

Answers

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile.


How far can the car travel with 15 gallons? Show your reasoning.

How much gas does the car use to go 100 miles? Show your reasoning.


HELP ME PLEASE THIS QUESTION IS WORTH 65% OF MY GRADE!!!!

Answers

Answer:

20 gallons hope this helped

please help me !!!!!!!!!!!!!!!!

Answers

5Step-by-step explanation:

For what value of k does the equation 5x – 32 = kx + 3 have no solution?​

Answers

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

A car salesman has a salary of $600 a week. He also earns a 25% commission on the profit of his total sales. One week, he sold several vehicles for a final profit of $8500. How much money will he make that week in total.

Answers

Answer: 2725$

Explanation:

Profit = 600$ + (8500 x 25/100)
= 600$ + 2125$
= 2725$

600$ is his salary for every week
25% commission for total sales and in that particular week his total sales were 8500$ therefore he earns 25% of that total sales.

i need help please lol

Answers

Answer:

-2 + 6!

Step-by-step explanation:

Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!

I hope this helps!!

Answer: THE PINK ONE (-2+6)

Step-by-step explanation:  WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)

Please help in this question with explanation. pls​

Answers

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

Describe and correct the error a student made when graphing the linear equation y=−
3
4x−6.

Answers

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Step-by-step explanation:

https://brainly.com/question/18374630

A lawn mower is advertised for 20% off the list price of $430.00. What is the sale price?

A
$516.00

B
$354.00

C
$344.00

D
$86.00

Answers

The answer c

20% of 340 you multiply the first digit of the percentage with the 2 numbers of 340

So 2 x 43= 86 that’s the discount

430-86=344 that’s the final price

Plz help plzzz this is due today just plz help me and I will give brainliest

Answers

Answer:

18(2+3)

1.375 liters

Step-by-step explanation:

GCF is 18.

18(2+3)

2.5-1.125 which is 1.375

Hope this helps Merry Christmas!

PLEASE ANSWER ASAP FOR BRAINLEST!!!!
The length of a side of an equilateral triangle is x - 4.5. Write 2 equivalent expressions, one as a sum and one as a product.

Answers

Answer:

see explanation

Step-by-step explanation:

Writing an expression for the perimeter (P) of the triangle

P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum

P = 3(x - 4.5) ← as a product

Is 14/950 more or less than 1/2 and why!

Answers

Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.

Which Exponentail expression represents The numerical expression 1/12 . 1/12 . 1/12 . 1/12?

Answers

Answer:

1/12^4 the for is small and raised

Step-by-step explanation:

Please help! the photo is below

Answers

I believe it is 8.......

Answer:

8 Green beads

Step-by-step explanation:

12 divided by 3 = 4

4 times 2 = 8

Kamal got married 5 years ago. Today his age is 1 1/4 times his age at the time of marriage. His sons age is 1/10 times his present age. What is hisson's age ?

Answers

Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the  age of Kamla at marriage be represented as  x

Age after five  years = x+5

Given that today his  age is 1 1/4  times his age at marriage, Our equation to express his age  at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

Convert 0.008 to a percentage???

working out pleaseeee brainlest

Answers

Answer:

0.8%

Step-by-step explanation:

8/1000 x 100%

8/10 = 0.8% or 4/5%

Answer:

0.8%

Step-by-step explanation:

it is the answer answer

I WILL MARK BRAINLYEST

3. Solve the equation:
3/4z-10=-3(1/4z+1/3)

-6
6
7 1/3
13.5


Answers

Answer:

The solution for your question is X=6

Solve for b.
b + 0.9 = 5.1
Enter your answer, as a decimal, in the box.

Answers

Answer:

4.2

Step-by-step explanation:

This one is pretty easy cause all you need to do is subtract 0.9 from 5.1

5.1 - 0.9 = 4.2

And to check it plug and play

4.2 + 0.9 = 5.1

Therefore, your answer is 4.2

Hope this helps <3

Which number line shows the solution set for [n]< or equal to 2

Answers

no number line is shown so this answer is improvible

Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE

Answers

Answer:

 (0 -  (9 • (a^666))) -  (22•3ab^6)

 (0 -  32a^666) -  (22•3ab^6)

  -12ab^6 - 9a^666  =   -3a • (4b^6 + 3a^665)

Final result :

 -3a • (4b^6 + 3a^665)

Step-by-step explanation:

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