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

write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)

Answers

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

Which equation could be used to solve for a value, x, that is equal to 5 times the sum of x and 12?
x = 5x = 12
5x = x + 12
x = 5(x + 12)
x = x + (5)(12)​

Answers

x = 5( x + 12)
That’s the equation. C. Would be correct

can someone answer this please

Answers

Answer:

The coordinates of point P are (1, -1)

Step-by-step explanation:

If the point (x, y) reflected about the x-axis, then its image is (x, -y)To find the image of a point reflected about the x-axis change the sign of its y-coordinateThe rule is R x-axis → (x, -y)

If the point (x, y) reflected about the y-axis, then its image is (-x, y)To find the image of a point reflected about the y-axis change the sign of its x-coordinateThe rule is R y-axis → (-x, y)

→ Assume that the coordinates of point P are (x, y)

∵ The coordinates of point P are (x, y)

∵ The rule of the reflection is R y-axis (P)

∴ Its image = (-x, y)

∵ The image = (-1, -1)

→ Equate the two images

(-x, y) = (-1, -1)

∴ -x = -1

→ Divide both sides by -1

x = 1

y = -1

The coordinates of point P are (1, -1)

Every year, the amount of CO2 in the atmosphere increases by a factor of

Answers

about 0.5 percent per year

CHICKEN WING + CHICKEN WING EQUALS WHAT?

A) CHICKEN WANG
B) UR STOOPID
C) I HAVE NO CLUE
D) DOUBLE CHICKEN WINGS

Answers

Answer:

hot dog and baloney

Step-by-step explanation:

Dr. Concha Gómez is an Italian, Cuban American who received a Ph. D. in Mathematics at the University of California at Berkeley. Dr. Gomez currently works at the University of
Wisconsin where she teaches her students how to find the solutions to a quadratic function. To start, she asks her students to find the factors for the quadratic expression,
7z^2 -38z + 15.
Select the factors of this quadratic expression.

Answers

Answer:

7z - 3 and z - 5

Step-by-step explanation:

The factors of the given quadratic expression is (z-5((7z-5).

The given quadratic expression is 7z² -38z + 15.

What is the quadratic expression?

An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression. In other words, any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.

The given quadratic expression 7z² -38z + 15 can be solved as follows:

Using spitting middle term

7z² -35z-3z + 15

= 7z(z-5)-3(x-5)

= (z-5((7z-5)

Therefore, the factors of the given quadratic expression is (z-5((7z-5).

To learn more about the quadratic expression visit:

https://brainly.com/question/14083225.

#SPJ6

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Answers

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

Write an equivalent expression by distributing the "-−" sign outside the parentheses:
10m-(3.3n+1.8)

Answers

Answer:

10m - 3.3n - 1.8

Step-by-step explanation:

10m -(3.3n + 1.8)

10m - 3.3n - 1.8

Hope this helps and I hope u have an Amazing day!!

Russell caught 9 butterflies for his science project in the first week. He caught 13 butterflies in the second week. What is the percent increase in the number of butterflies Russell caught from the first week to the second week? Round your answer to the nearest whole number.

Answers

Answer:

44 Percent Increase

Step-by-step explanation:

Hope This Helps :)

Is A triangle with side lengths 24,32, 42 a right angle?

Answers

Answer:

No its not a right angle.

Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 books for $18 because each book costs $9 and 6 books for $45 because each book costs $9.50 b.2 books for $18 because each book costs $8 and 6 books for $45 because each book costs $9.50 c.6 books for $45 because each book costs $7.50 and 2 books for $18 because each book costs $9 d.6 books for $45 because each book costs $9 and 2 books for $18 because each book costs $9.50 answer fast please

Answers

Answer:

I am a little confused by your question but if you were getting less it would be the first but more would be the second

Step-by-step explanation:

Answer:

c. 6 for 45 b/c each costs 7.50 and 2 for 18 b/c each book costs 9

Step-by-step explanation:

If you divide the amount of money by the number of books then you will find how much each book costs individually. If you wanna spend less money per book, then you 6 books for 45 is a better deal

please help me I dont want to do it and I am on a timed thing ​

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

What are the zeros of the polynomial function?
Answers option's

-15 and 4

-4 and 15

10 and -6

-10 and 6​

Answers

Pretty sure its 10 and 6

-3/8(x-24)+x=19 i need a answer ASAP!

Answers

Answer:

x = 16

Step-by-step explanation:

Problem: -3/8(x-24)+x=19

Distribution:

-3/8x + 9 + x = 19

5/8x = 19 - 9

5/8x = 10

x = 10 • 8/5

x = 16

HELP ME PLEASEEEE!!I beg y’all

Answers

Answer:

For Ms Ortiz: 50 = 50x+30y

For Mr Donahue 45=30x+30y

C =Substitution

Answer:

Step-by-step explanation:

45 divided by 30=$1.50

x amount of rulers multiplyed by 1.50

45-55=10$

50 pencils for 10 bucks

50 divided by 10 =5

5     5   5   5 5 5 5 5 5 5

five pencils for five dollers   one doller for one pencil

sorry for the spelling errors  this is all i can do the rest is a bit tricky

Five less than two times a number is 11. Which equation could be used
to find the number?

Answers

Answer: 2b-5=11

Step-by-step explanation: 2b is equivalent to 2 times, and 5 less is the -5

what is the best estimate for V18

Answers

Answer:

34/8-16/3-14/9

Step-by-step explanation:

Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?

Answers

Answer:

2240

Step-by-step explanation:

7% of 8000 is 560, and 28% of 8000 is 2240. 560 x 4 is also 2240.

Help please fast ahh

Answers

Answer:

the 2nd one

Step-by-step explanation:

-12 may be more in positive numbers but it is less in negative numbers

The answer would be -12 < -5 because the -5 is a higher number than -12

-7+82*78-67^6+5-4/6=?

sufferrrrrrrrrr!

Answers

Answer:

-90458375775.7

Step-by-step explanation:

yes

Is this a joke? Or anyway.. ok.. the answer is 0

Help ASAP I honestly really suck lol

Answers

Answer:

The answer is:

C. sin A = 48/50

Step-by-step explanation:

I already did this math work, and i got a 100 (A+) So i hope this help

John and his mother are trying to determine the dimensions of their new curtains. They know that the area of the fabric they have available is y^2-10y+25 square inches. Which of the following are possible dimensions of the curtains, in inches?
A.
(y – 1)(y – 10)
B.
(y – 25)(y – 1)
C.
(y – 5)(y – 5)
D.
(y + 5)(y – 5)

Answers

Answer:

the answer is C .  (y-5)(y-5)

Step-by-step explanation:

i just did it in edge

What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
5
The slope is 2, and the y-intercept is 4.
5
The slope is 2, and the y-intercept is 4.
5
The slope is 4, and the y-intercept is 2.
5
The slope is 4, and the y-intercept is 2.

Answers

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.

What is the cost in dollars and cents for each video game?
PLZZZZ HELP

Answers

Answer:

I would say it's $23.98

Step-by-step explanation:

If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98

Answer:

$23.98 or 2398 cents

Step-by-step explanation:

If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.

$100 = 4 games + $4.08

4 games  = $95.92

$95.92/4 = $23.98

Hope That Helps.

Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x=63 . Which of these statements are true? Choose ALL that are correct. A Robert's sales are represented by x when solving 3.5x=63 . B Robert's sister's sales total $18.00. C Robert's sales are represented by x when solving 2.6x=63 . D Robert's sales total $25.20. E Robert's sister's sales are represented by x when solving 3.5x=63 .

Answers

Answer:

B. Robert's sister's sales total $18.00.

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Step-by-step explanation:

Let

Robert sister's sales = x

Robert sales = 2.5 * x

= 2.5x

Total sales = Robert sister's sales + Robert sales

63 = x + 2.5x

63 = 3.5x

Divide both sides by 3.5

x = 63 ÷ 3.5

= 18

x = $18.00

Robert sales = 2.5x

= 2.5(18)

= $45.00

A. Robert's sales are represented by x when solving 3.5x=63 .

No

B. Robert's sister's sales total $18.00.

Yes

C. Robert's sales are represented by x when solving 2.6x=63 .

No

D. Robert's sales total $25.20.

No

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Yes

PLEASE ANSWER THISSS

Answers

Answer:

78.5 ft

Step-by-step explanation:

You had the right answer

Hope you got the clarification you needed! :)

Brainliest pls

Its 78.5
Hope this helps and goood luckkkkk :)

am ÷ an = _________​

Answers

am divided by an equals= am over an or am/an

Paul is locked out of his house. An 18-ft ladder is outside and an upstairs window is open. Paul read the safety warning on the ladder recommending it be placed six feet away from the wall. He placed the ladder according to the warning and it reached the base of the window. How high is the base of the window off the ground?

Answers

Answer:

17.0 ft

Step-by-step explanation:

Let h be the height of the base of the window from the ground, L be the length of the ladder = 18 ft and d be the distance of the ladder from the wall = 6 ft. Now, these three lengths form a right-angled triangle with the length of the ladder, L as the hypotenuse side.

So, using Pythagoras' theorem,

L² = h² + d²

So, h = √(L² - d²)

Substituting the values of L = 18 ft and d = 6 ft, we have

h = √((18 ft)² - (6 ft)²)

= √(324 ft² - 36 ft²)

= √288 ft²

= 16.97 ft

≅ 17.0 ft

If f(x) = 4x+7 and g left parenthesis x right parenthesis space equals fraction numerator 1 over denominator 2 x end fraction w h a t space i s space t h e space v a l u e space o f space left parenthesis f over g right parenthesis left parenthesis 5 right parenthesis ?

Answers

Answer:

270

Step-by-step explanation:

its on my test this is the right answer

pleaseeeeee helpppppppppp

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

This is the answer because:

1) Mean - add all the numbers and divide by with how many numbers you added.

2) The numbers are: 7,9,10,5,8,3,7

3) 7 + 9 + 10 + 5 + 8 + 3 + 7 = 49

4) 49 ÷ 7 = 7

Therefore, the answer is 7.

Hope this helps! :D

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