A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1
Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation
A 45 Foot Ladder Is Set Against The Side Of A House So That It Reaches Up 27 Feet. If Nicole Grabs The
Answer 2

The ladder will reach a height of 20.6 feet

The given parameters are:

Length = 45-footHeight = 27 feet

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982


Related Questions

A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?

Answers

Answer:

Top right

Step-by-step explanation:

I did it before

Answer:

TOP RIGHT

Step-by-step explanation:

:)

In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.

Answers

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work

Answers

Answer:

The answer is B) John earns $14.00 for two hours of work.

first answer gets most brainley

Answers

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?

Answers

f(x)= 11,856(1-.1)^8
11,856(.43)
F(x)=5,098.08 or 5,098.1 when rounded to the nearest tenth

The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?

Answers

Answer:

if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)

where n is the number of term.

the 4th term is 125

if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)

where n is the number of term

the 4th term is 75

HELPPPPP

a) -3 x 4 - (-9) ÷3


b) 15 - 2(-8 +-7)​

Answers

a) -9
b)45

Hope this helps

find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1 ​

Answers

Answer:

8,654,210 and 1,024,568

Step-by-step explanation:

biggest number to smallest

Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C

Answers

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

PLEASE HELP ME!!!

Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?

Answers

Answer:

8 spoons and 9 forks

Step-by-step explanation:

2 F + 1.2S = 27.60

6 F + 5.5S = 98

solve system of equations


f for forks and s for spoons


2f+1.2s=27.60
-1.2s -1.2s
____________

2f = 27.60-1.2s
____________ = f=13.8-.06s
2

substitute 13.8-0.6s for f

6(13.8-0.6s)+5.5s=98

82.8-3.6s+5.5s=98

82.8+1.9s=98
-82.8 -82.8
_____________

1.9s = 15.2
___________ = s=8
1.9

Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0

Answers

Answer:

d. x9 + x3 – 10 = 0

The answer is A. Hope this helps.

Can someone please help me I don’t understand this at all

Answers

Answer:

140.3 ft³

Step-by-step explanation:

Volume of cylinder = πr²h

                                = π x 1.5² x 4

                                = 28.3 ft³

P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft

Volume of cuboid = lwh

                              = 7 x 4 x 4

                              = 112 ft³

Total volume = 112 + 28.3 = 140.3

Hope this helps!

Bab needs help please!

Answers

Answer:

282.6 in³

Step-by-step explanation:

Volume = area circle * height

Area circle = πr²

Area circle = 3.14 * 9 = 28.26

28.26 * 10 = 282.6 in³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

282.6 in^3
Step by step explanation:
Because I said so

En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?

Answers

Answer:

36

Step-by-step explanation:

6 x 6



the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]

Answers

Answer:

option b) -2/5

Step-by-step explanation:

Using the rule :

             [tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]

             [tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]

[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]

Answer:

[tex]\sqrt[3]{-\frac{8}{125} }[/tex]

[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]

So, your answer is B) - 2/5

-----------------------------

hope it helps...

have a great day!!

Please help. Explain as well

Answers

Answer:

Angle 1 is 105°

Angle 2 is 75°

Step-by-step explanation:

Angle 2 is the same angle as angle 6 which is 75°

Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.

Hope this helps! :)

Please someone help quickly!!!

Answers

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

X2 cause it makes sense

how do i solve this x^2 −12x+36=0

Answers

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

What is the measure of ACB in O below?​

Answers

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?

Answers

pretty sure it’s 27 :)

Answer: The 32 electricians are expected to finish the job in 27 days.

Step-by-step explanation:

what is what is 2000 * 3000​

Answers

Answer:

600,000

Step-by-step explanation:

Answer:

6,000,000

Step-by-step explanation:

Simply put: Multiply 2 • 3

Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)

Hope this helps!

If 6 −8p = 38, then p=

Answers

Hey there!

6 - 8p = 38

SIMPLIFY EACH SIDES of the EQUATION

-8p + 6 = 38

SUBTRACT 6 to BOTH SIDES

-8p + 6 - 6 = 38 - 8

KEEP: 6 - 6 because that gives you 0

KEEP: 38 - 6 because that helps you solve for your p-value

38 - 6 = 32

NEW EQUATION: -8p = 32

DIVIDE -8 to BOTH SIDES

-8p/-8 = 32/-8

CANCEL out: -8/-8 because that gives you 1

KEEP: 32/-8 because it helps solve for the p-value

NEW and TEMPORARY EQUATION:

p = 32/-8

-4 = 32/-8

32/-2 = -4

Therefore you answer is: p = -4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Work out the size of angle x
Pls help thx !

Answers

Answer:

83

Step-by-step explanation:

not sure tho____________

Answer:

83 degrees

Step-by-step explanation:

The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so

43 + x = 126

x = 83 degrees

Second way

exterior angle + inner angle = 180

126 + inner angle = 180

inner angle = 54

the sum of the inner angles of a triangle is 180 degrees

54 + 43 + x = 180

97 + x = 180

x = 83 degrees

what do you call tha tool that can be used to collect data?__________

Answers

Answer:

pendrive, memory, chip

Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?

Answers

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the concept of similar shapes to solve this problem.

Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.

Now,

The first container has a height of h1 and can hold v1 units of liquid.

Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.

So,

h2/h1 = (volume of container 2) / (volume of container 1)

Solving for the volume of container 2.

(volume of container 2) = (h2/h1) x (volume of container 1)

Substituting the given values, we get:

(volume of container 2) = (h2/3) x (1000)

where we have converted 1 liter to 1000 cubic centimeters.

Simplifying this expression.

(volume of container 2) = (1000/3) x h2

Therefore,

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

a circle has a diameter of 4.5 inches what is the circumference​

Answers

Answer:

c = 4.5π inches   exact answer

c = 14.13 inches   decimal approximation

Step-by-step explanation:

c = πd

c = 4.5π    exact answer

using 3.14 for π

c = 3.14 * 4.5

c = 14.13    decimal approximation


What is the least common denominator of the equation 3/4(x-3)-1/2=2/3

Answers

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway

Answers

Answer:

The width of the pathway is 5.2 feet

Step-by-step explanation:

Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.

Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A

= L( W + t)

Given that the combined area of the garden and the border 311 square feet while the garden is  14 feet by 17 feet

311 = 14 (17 + t)

311 = 238 + 14t

collect like terms

14t = 311 - 238

14t = 73

t = 73/14

= 5.2 feet

Alexis and Mariana are hiking. Alexis climbs to the
top of a ridge 417 feet above sea level. Mariana goes to
the bottom of a valley, 30 feet below sea level. What is
the vertical distance between Alexis and Mariana?

Answers

Answer:

447 ft

Step-by-step explanation:

Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447

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