Christopher is hanging Christmas lights along the perimeter of his house by using his 15 foot ladder. The base of the ladder is placed 4 feet away from the base of his house. How far up the house does his ladder reach?

Answers

Answer 1

Answer:

14.45 feet

Step-by-step explanation:

The set up is a right angled triangle;

The length of the ladder = hypotenuse = 15foot

The base of the ladder is the adjacent = 4feet

The height of th house is the opposite = x

Using the pythagoras theorem;

hyp² = opp² + adj²

15² = opp²+4²

opp² = 15²- 4²

opp² = 225 - 16

opp² = 209

opp = 14.45feet

Hence the ladder reaches 14.45 feet up the house


Related Questions

Which of the following is a function? *
{(5, 0), (0, −8), (5, −5)}
{ 5, 0, -8. -5}
Option 5
{(5, 0), (0, 5), (−5, −5)}
{(5, 0), (−8, −5), (−8, 5), (−5, −8)}

Answers

{(5,0),(0,5),(-5,-5)}

Answer:

{(5,0),(0,5),(-5,-5)}

Step-by-step explanation:

13(2x)+5x as a simplified expression

Answers

Answer:

31x

Step-by-step explanation:

PEMDAS. Multiplication first.

13*2x is 26x. Then add 5x. 31 x

Hope this helps you :D

#Team Rainbows

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Answers

i think it’s answer 8

Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?

Answers

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

Find the measure of angle A

Answers

Answer:

43°

Step-by-step explanation:

(x + 53)° + (x + 74)° + 73° = 180°

(x + 53 + x + 74)° = 180° - 73°

(2x + 127)° = 107°

2x + 127 = 107

2x = 107 - 127

2x = - 20

x = - 20/2

x = - 10

[tex]m\angle A = (x +53)\degree \\\\

m\angle A = (-10 +53)\degree \\\\

m\angle A = 43\degree \\\\

[/tex]

I NEED HELP LIKE ASAP ​

Answers

Answer:

the answer would be a

Step-by-step explanation:

if i am right can i please have the brainelest

Martin and Helen both are computer technicians and they repair all kind of computers. Martin makes $50 a day plus $25 per repair. Helen makes $20 a day plus $35 per repair. Write an expression and simplify it for Martin and Helen’s total daily earnings if they make the same number of repairs r. I'll give thanks and 5 stars if answered!!

Answers

Answer:

In the equation the $50 would be the start up or in other words the y-intercept

Step-by-step explanation:

Answer:

Martin made more. He mad $75 dollars.

Step-by-step explanation:

So martin makes $50 a day plus $25 per repair. so he made $75 dollars. And Helen makes $20 a day plus $35 per repair so he maid $55 dollars less so martin made more. No they don't make the same number of repairs.


If u get this right I’ll mark u as brainlist

Answers

Answer:

c

Step-by-step explanation:

7. Peter is trying to get his cat out of a free in
his backyard. The cat is 12 feet above the
ground, and Peter has to put the base of his
ladder q feet away from the tree because of
mud. How long does the ladder need to be in
order to reach the cat?

Answers

Answer:

13 ft

Step-by-step explanation:

Select all ratios equivalent to 5:10 select all that apply

Answers

Answer:

8:16 and 7:14

Step-by-step explanation:

5:10 is a 1 to 2 ratio and so are 8:16 and 7:14

Answer:

8:16 and 7:14

Step-by-step explanation:

It is a half and half ratio


Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(

Answers

Next time study more! I know its hard but you can do it keep trying ur best :)

v-20 in radical from​

Answers

Answer: V - 20

Step-by-step explanation: Hope this helps

Factor the following expression: x^2+3x

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] = {x}^{2} + 3x[/tex]

~ Take "X" common.

=[tex]x(x + 3)[/tex]

Therefore, "x" and "x+3" are the factors if the expression.

Hope it helps...


Giving brainliest please help!

Answers

Answer:

22 or   21

Step-by-step explanation:

HOP THAT  HELPS

Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.

Answers

Answer:

40-5x

Step-by-step explanation:

Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression

Help pleaseeeeeeeeeeee.

Answers

Answer:

(-10, 9)

Step-by-step explanation:

9x+9y=-9

Use substitution method

9(-10)+9y=-9

Order of operations(PEMDAS)

-90+9y=-9

Add 90 to both sides

(-90+90)+9y= -9+90

9y=81

Divide 9 from both sides

(9/9)y=81/9

y=9

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.

Answer:

Step-by-step explanation:

in this case, we already know that x=   -10 so we can substitute in the other problem, -10x9 = -90 so now we can get rid of that by adding + 90 on each side making it 9y=81 by this time, we see that both sides are divisable by 9 divide both by nine and you get: 1y=9 from that you can finally answer the question with

x= -10 y= 9

If the m =1/2 and the b = -2, then the linear equation is

Answers

Answer: y=  1/2x - 2

Step-by-step explanation:

y= mx+b

m= 1/2 (plug it in)

b= -2 (plug it in)

x= ?

What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16

Answers

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

What is 50,000 + 7,000 + 400 + 10 + 6 in standard form?

Answers

Answer:

57,416

Step-by-step explanation:

50,000 + 7,000 + 400 + 10 + 6

50,000 is in the ten thousands place.

7,000 is in the thousands place.

400 is in the hundreds place.

10 is in the tens place.

6 is in the ones place.

57416 is the answer

help please? 26x-2(3x+4y)-10y

Answers

Answer:

20x-18y

Step-by-step explanation:

26x-2(3x+4y)-10y

26x-6x-8y-10y

20x-18y go doawnload the app photomath its a great tool

Please help!! And show work please! I'll give brainlist..!

Answers

what you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value

What is the initial value of the exponential function represented by the table?

One-eighth
One-fourth
One-half
1

Answers

One half aqa 1/2 thanks me later

hi need help with math
some one help

Answers

Answer:

Ether C or D. hope this helps

Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21

Answers

Answer:

d.21

Step-by-step explanation:

840/40=21

Answer:

21 Weeks

Step-by-step explanation:

$840 ÷ 4 weeks = 21

You can also reverse work this by multiplying $40 by the other choices!

$40 x 40 = $1600

$40 x 35 = $1400

$40 x 32 = $1280

$40 x 21 = $840

As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

following data, what would be the value of x?

Answers

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please




Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?

Answers

Answer:

24

Step-by-step explanation:

Answer:

Angie is thinking of the number 24.

Explanation:

24 can be divided into 8 three times & can be divided by 12 only two times.

Click on photo if neccessary ​

Answers

it should’ve be c because the other are not on the same point and those are the closest i believe

Darryl Dixon shoots an arrow at a zombie. The path of the arrow can be modeled with the equation y=-x^2 42x-80, where x is time in seconds and y is the height in feet. How long does it take for the arrow to reach its maximum?

Answers

We need to find time taken to reach arrow to its maximum.

The path of the arrow can be modeled with the equation [tex]y=-x^2+ 42x-80[/tex] .

Differentiating the given equation w.r.t x and equate it to zero.

[tex]\dfrac{dy}{dx}=-2x + 42 \\\\42 - 2x = 0\\\\x = 21\ seconds[/tex]

Putting value of x = 21 sec in given equation, we get :

[tex]y=-x^2+ 42x-80\\\\y = -(21)^2 + (42\times 21) - 80\\\\y = 361 \ feet[/tex]

Therefore, time taken to reach maximum height is 21 seconds.

there are 9 children in a class who take the bus to school and there are 15 total children in the class what percentage of the children take the bus to school?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

9/15=.6

.6 as a percent is 60%

at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost

Answers

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

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