Q25. A ladder AP of length 10m is kept against a wall AB such that it reaches a window at A, 6m high from the ground. The same ladder reaches another window at C when it is rested against the wall opposite to AB. If the walls are 14 m apart. Find the height of the window at C from the ground.

Answers

Answer 1

Answer:


Step-by-step explanation:

Given a ladder AP of length = 10m is kept against a wall AB such that it reaches a window at A, such that AB=6m .

Consider a triangle ABP

By Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (10)^2=(6)^2+(BP)^2\\\Rightarrow100=36+(BP)^2\\\Rightarrow(BP)^2=64\\\Rightarrow\ BP=8\ m[/tex]

Now,The same ladder reaches another window at C when it is rested against the wall opposite to AB .

Let D be a point which represent the foot of the second building CD on the ground which is 14 m away from B.

∴ BD = BP+ PD              

⇒ 14 = 8+PD

⇒PD =14-8 = 6m

Now consider another triangle CPD

Again by Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (CP)^2=(CD)^2+(PD)^2\\\Rightarrow\ (10)^2=(CD)^2+(6)^2\\\\\Rightarrow100=(CD)^2+36\\\Rightarrow(CD)^2=64\\\Rightarrow\ CD=8\ m[/tex]

Therefore, the height of the window at C from the ground CD=8m

Q25. A Ladder AP Of Length 10m Is Kept Against A Wall AB Such That It Reaches A Window At A, 6m High

Related Questions

Mr Johnson was paid $190 for a job that required 40 hours of work. at this rate how much should he be paid for a job requiring 60 hours of work

Answers

4.75 per hour. So 60 hours would be $285
It would be $285! Hope this helps :D

The function C(t) below relates outside temperature in degrees Fahrenheit to the number of cricket chirps per minute. It takes as input the temperature in degrees Fahrenheit, and returns as output the number of cricket chirps per minute occurring at that time. C(t) = 6t - 180 Which equation below represents the inverse function T(c), which takes the cricket chirps per minute as input and returns as output the temperature in degrees Fahrenheit? A. B. C. D.

Answers

Step-by-step explanation:

I had a different  A pex  question but it was still relatively the same answer but i don't want anyone getting the answer wrong due to confusion so my answer was

Answer: T(c)=c+160/4

Final answer:

The function T(c), which is the inverse of C(t), is T(c) = (c + 180) / 6.

Explanation:

To find the inverse function T(c), we first have to rewrite the original function C(t) in terms of c. So, if C(t) = 6t - 180, we write it as c = 6t - 180.

Next, we swap the roles of c and t, so now t becomes the function of c i.e., we get t = 6c - 180.

Finally, we solve this equation for c to get the inverse function. Doing so will give us c = (t + 180) / 6. Hence the inverse function is T(c) = (c + 180) / 6.

Learn more about Inverse Function here:

https://brainly.com/question/35491336

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find the quotient: -10/19 divided by (-5/7) ?

Answers

The quotient is 14/19.
When dividing fractions, you multiply by the reciprocal
Final answer:

In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.

Explanation:

The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).

Let's perform the operation step-by-step:

Invert the divisor (i.e., flip fraction (-5/7) to (7/-5) or -7/5)Replace the division symbol with a multiplication symbol, we get: -10/19 * -7/5Multiply the numerators: (-10) * (-7) = 70Multiply the denominators: 19 * 5 = 95Combine the resulting numerators and denominators to form a fraction: 70/95Simplify the result: 14/19

So, the result of -10/19 divided by (-5/7) is 14/19.

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Gabrielle's age is two times Mikhail's age. The sum of of their age is 66. What is Milkhail's age?

Answers

wouldn't mikhail be 22?

if mikhail's age = 22 and gabrielle is twice that then gabrielle = 44

22
+44
_____
66

Final answer:

To find Mikhail's age, set up the equations based on the given information; Gabrielle's age is twice Mikhail's and their combined age is 66. Solving the equations shows that Mikhail is 22 years old.

Explanation:

The given problem is about determining Mikhail's age when Gabrielle's age is two times Mikhail's age and together their ages sum up to 66. We can set up equations to solve this problem. Let's denote Gabrielle's age as G and Mikhail's age as M.

From the problem we have two equations:

G = 2M (Gabrielle is twice as old as Mikhail)

G + M = 66 (Sum of their ages)

We can substitute the first equation into the second:

2M + M = 66

3M = 66

M = 66/3

M = 22

Therefore, Mikhail's age is 22 years old.

If a car salesman made $2450 from a 12% commission on a car sale, what is cost of the car he sold?

Answers

I believe it is 20,416.67

Answer:

20417

Step-by-step explanation:

2450/12=204.16666   204.166*100=20416.6666667 round up

Use the Distributive property to write an expression equivalent 5 times ( 3+4 ).

Answers

You can set this up as 5(3+4)....then, distribute by multiplying the terms in parentheses by 5. This gives you 15+20, which equals 35.

Using the slope and the y- intercept, graph the line represented by the following equation. Then select the correct graph. 2 y + 4 = 0

Answers

the slope is 0 so the answer is the graph with the horizontal line going through -2

Can someone PLEASE help me with questions #5 and 6

Answers

Domain={8,9}

Range = { -3,-4,-6,-9}

No relation is not function as elements in domain are related to more than one element of codomain

HHHHHEEEELLLLPPPPP PLLLLLLEEEEAAAASSSEEEEE

Answers

we know 140 is 5% of some number x. to find x, we use this formula: 140/x = 5/100

cross multiply: 14000 = 5x

divide each side by 5: 2800

they had $2800 in their account.

PLEASE NEED HELP WITH 1,2, AND 3 WILL MARK AS Brainliest!!!

Answers

1. Looks like 12

that's all I know sorry :((

1.)3,1,13. -2.)16,6,4- 3.)12

the fourth graders sang on a two day telethon for the local children's hospital. the hospital hoped to raise $750000. one day one, the raised 398622. on day two they raised 379873. did they reach their goal? how much more or less did they raise?

Answers

Yes, the fourth grades reached their goal and they raised 778,495 dollars that's 28,495 more dollars than they hoped to raised.

No they did not reach there goal. They have $370,127 more money raise.

solve for a 59>2a+59>43

Answers

[tex]59\geq2a+59 > 43\qquad|-59\\\\0\geq2a > -16\qquad|:2\\\\0\geq a > -8[/tex]

[tex]Answer:\ -8 < a\leq0[/tex]

cathy needs to collect linear data which set of data should cathy collect
A. The height of a building for 20 years.
B.The height of a person from birth till 20
C. the height of a tree for 20 years.
D. The height of an elephant for 20 years.

Answers

Option A is correct.

Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.

Explanation:

Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8)  and so on.

So slope = [tex]\frac{difference in y}{difference in x}[/tex]

= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]

= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]

So, here slope is 2 for all coordinates.

I need help in unit 1 lesson 9 please this is due tomorrow

Answers

i think the answer is

27?

Which equation is the inverse of y=9x^2-4

Answers

First swap the x and y variable, then isolate y.

y = 9x^2 - 4
x = 9y^2 - 4
x + 4 = 9y^2
(x+4)/9 = y^2

plus or minus
[tex] \sqrt{((x + 4) \div 9} = y[/tex]


The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

Given the expression y = 9x^2 -4

Replace y with x to have

x = 9y^2 -4

Make y the subject of the formula to get the inverse function

9y^2 = x+ 4

[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]

Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

Learn more here: https://brainly.com/question/12220962

Please answer and show work

Answers

This is my solution put -41 other sides of the equation so x/-3 = 30 multiply by -3 to get rid of the fraction so this is the answer

X/-3 -41 = -11

X/-3 = -11 +41

X/-3 = 30

X = 30×-3 = -90


To check

Put X = -90 in LHS

-90/-3 - 41

30 - 41

-11 = RHS

VERIFIED

What is 83,023,007 in expanded form?

Answers

80,000,000+ 3,000,000 + 20,000 + 3,000 + 7
80,000,000+3,000,000+20,000+3,000+7


formula for the arithmetic sequence -11,-3,5,13,...

Answers

Remark

The difference is between any two terms. You should pick t3 and t4 which are both positive. That's easier to handle than a couple of minus signs.

d

t4 - t3 = d

13 - 5 = d

8 = d

a

the first term is - 11

Formula

t_n = a + (n-1)*d

t_n = -11 + (n-1)*8

Check

t_n = - 11 + (3-1)*8

t_3 = - 11 + 16

t_3 =  5 which it does.

Try t_5. It should be 21

t_5 = - 11 + (5 - 1)*8

t_5 = - 11 + 4 * 8

t_5 = -11 + 32

t_5 = 21

Answer

t_n = -11 + (n - 1)*8


21.161(17x+2)=24.8
what does x =?

Answers

[tex]21.161(17x+2)=24.8[/tex]


Distribute the [tex]21.161[/tex]

[tex]359.737x+42.322=24.8[/tex]

Subtract [tex]42.322[/tex] from both sides

[tex]359.737x=-17.522[/tex]

Divide [tex]359.737[/tex] on both sides

[tex]x=-0.048708[/tex]

Therefore -0.048708 is your answer.

Identify the coordinates of four points on the line with each given slope and y-intercept. 0.2, y-intercept = 0.3

Answers

Slope = 0.2 and  y-intercept = 0.3

The slope intercept form of line is

y=mx + b where m is the slope and b is the y intercept

So equation becomes  y = 0.2 x + 0.3

To find coordinates of 4 points , we plug in some number for x  and find out y

x              y = 0.2 x + 0.3

0              y = 0.2 (0) + 0.3= 0.3

1               y = 0.2 (1) + 0.3= 0.5

2               y = 0.2 (2) + 0.3= 0.7

3               y = 0.2 (3) + 0.3= 0.9

Four coordinates are (0,0.3) (1,0.5) (2,0.7) (3,0.9)




what is thee prime factors of 60

Answers

2*2*3*5 are the prime factors of 60

2, 3 and 5 are the prime factors of 60.

Janie receives an allowance of \$3dollar sign, 3 per week. In addition, she can earn \$2dollar sign, 2 for each chore she does. This week, she wants to earn enough money to buy a CD for \$13dollar sign, 13. Janie can do fractions of chores. Write an inequality to determine the number of chores, c, Janie must do this week to earn enough money to buy a CD.

Answers

it would take 3 weeks because she earns $3 per sign plus $2 for each chore .3+2 =5.if you do 13 ÷5=2remander 3.but she can save $2 if you do 5×3=15.if you did 5×2=10that is lower than $13

3: Find the equation of the line parallel to 2x - 3y = 9, passing through the point (-6, 3)

A. Y = 2/3x + 7

B. Y = -2/3x – 1

C. Y = -3/2x – 6

D. Y = 3/2x + 9

Answers

Your answer is C.Y=-3/2x-6

HELP ME PLEASE I AM A CONFUSED AND SAD BEAN THNKS

Answers

I think it is 11. Hope this help.

5)

f and g are parallel so

5x + 9x +26 = 180

14x + 26 = 180

14x = 154

  x = 11 (second option)

6)

<1 + <2 = 180

answer

j║k by the converse of same side interior angles theorem (add up to 180)

Please Fill in the Blank with the simplified equation. 1/7r=10

Answers

Multiply both sides by 7

1/7 r ×7 = 10 ×7

7r/7 = 70

r = 70

Multiply both sides by 7  

1/7 r ×7 = 10 ×7

1r  = 70

Divide by 1 on both sides (Side by Side need to divide)

r = 70

is 432 divisible by 2

Answers

Hello!

This question is super easy to me.

[tex]432/2[/tex]

[tex]Answer---> =216[/tex]

[tex]216*2=432[/tex]

[tex]432/216=2[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:

[tex]\displaystyle Yes[/tex]

Step-by-step explanation:

According to the Divisibility Rules, any number quantity ending in 8, 4, 6, 4, 2, or 0, is divisible by 2.

I am joyous to assist you anytime.

Which expression represents the distance between -14.6 and -5.2 on the number line?

Answers

the third expression does

If the expression represents the distance between -14.6 and -5.2 on the number line. The expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

What is distance?

Distance between these two points:

Distance = Larger value - Smaller value

Where:

Larger value = -5.2

Smaller value=  -14.6

So,

Distance = -5.2 - (-14.6)

Distance = -5.2 + 14.6

Distance = 9.4

Therefore the expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

a rectangle is 2.8 meters wide and 3.5 meters long. what is its area?

Answers

A rectangle is 2.8 meters wide and 3.5 meters long.

Length of the rectangle = 3.5 meters

Width of the rectangle = 2.8 meters

Area of the rectangle = Length * width

Area of the rectangle = 3.5 * 2.8 = 9.8 square meters

The unit of area is square meters or meter square

Area of the rectangle = [tex]9.8 m^2[/tex]


9.8 because you multiply the two numbers

How many lines of symmetry does this figure have? 


Answers

There aren't any lines of symmetry because it is a scalene right triangle. (:

Answer:

The scalene triangle has no lines of symmetry.

Step-by-step explanation:

We can see that the given figure is a scalene right triangle.

A line of symmetry is a line that divides a figure into two mirror image halves. The line around which a figure is reflected over is called a line of symmetry.

The scalene triangle has no lines of symmetry. A scalene triangle is one which has no sides equal and no angles equal.

17+p=7p-13 Plz help me asap

Answers

First you had to subtract by seventeen from both sides of equation form.

[tex]17+p-17=7p-13-17[/tex]

Then simplify.

[tex]p=7p-30[/tex]

Next, subtract by seven-p from both sides of equation form.

[tex]p-7p=7p-30-7p[/tex]

Simplify.

[tex]-6p=-30[/tex]

Then you divide by negative six from both sides of equation form.

[tex]\frac{-6p}{-6}= \frac{-30}{-6}[/tex]

And finally, simplify by equation.

[tex]-30/-6=5[/tex]

Final answer: [tex]\boxed{p=5}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie


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