Lucia needs to buy a ladder to reach her roof. The edge of the roof is 21.125 feet high. To use a ladder safely, the base of a ladder should be 1 foot away from a building for every 3.25 feet of building height. The ladder should extend 3 feet longer than the edge of the roof. How long does the ladder need to be? Round your answer to the nearest tent

Answers

Answer 1

Answer:

The length of the ladder is 25.1ft

Step-by-step explanation:

We are given

Height of the building  = 21.125ft = a (let)

On forming a triangle we have the height of the building as 'a'

It says that the base of a ladder should be 1 foot away from a building for every 3.25 feet of building height.

so for 21.125ft of height of building  = 21.125/3.5 = 6.5ft

we need the base of the ladder to be at 6.5ft  away from the building on the ground.

Let 6.5ft = b

Now we have the height of the building 'a' and the base distance of the ladder from the building 'b'

Applying Pythagoreans theorem

[tex]\sqrt{a^2 + b^2} =c^2[/tex]  where c represents the ladder length

on substituting the values of a and b

we get c= 22.1ft

but the ladder is 3ft longer than the edge of the roof

so final length of the ladder = 22.1 +3 = 25.1ft


Related Questions

what is the slope of y = -x + 7

Answers

The slope of this equation would be m = -1

Answer:

slope m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 7 ← is in slope- intercept form

with slope m = - 1

Math question


Any complex fraction can be written as a ratio


True or False

Will give brainiest to first person to answer right

Answers

Answer:

I believe the answer is true, please let me know if I am wrong.

The daily cost of hiring a superhero, y, to work x hours of saving people
can be modeled using a linear function. The superhero charges a fixed
cost of $100 plus an additional $50 per hour. The superhero works a
maximum of 10 hours per day. For one day of work, what is the range of
the function for this situation? *

Answers

Answer:

$600

Step-by-step explanation:

50x10=$500

500+100=$600


How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: https://brainly.com/question/20005135

The point (0, –4) is located . A coordinate plane.

Answers

Answer:

On the x- axis

Step-by-step explanation:


Pls answer I’ll give you brainly



Answers

Answer:

D

Step-by-step explanation:

A teacher wrote this expression on the board (-6)(2)+(-8+4)

Answers

Answer:

The answer is -16

Step-by-step explanation:

Answer= -16 the work is in the picture if you wanna screenshot it or something

Travis takes out a loan from his bank for $3,500. At the end of the year, Travis will need to pay the loan back to his bank along with a 8.2% interest fee on the money. Determine how much money Travis will need to pay the bank back after one year.

Answers

Answer:

$3,787

Step-by-step explanation:

frist find the amount of intrest

3,500 X 0.082 X 1 = 287

next add the oragial amount to the amount of intrest

3,500 + 287 = 3,787

Please Advise
What is the slope of the line -7y + 8x = 9
(2x3)(5x7)

Answers

Answer:

8/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

to get the slope, get the equation to the y=mx+b form. to do that, subtract 8x from both sides, you will get -7y=-8x+9, then, to get y by itself, divide by -7, you will then get y=8/7x-9/7. the 8/7 is the slope! Hope this helps :)


Which number produces an irrational number when added to 0.4?
O A. 0.444...
B. 9
C. 3pi
D. 2/7

Answers

Answer:  C) 3pi

pi is irrational, and so is 3pi

The expression 3pi+0.4 is overall irrational as well.

If x is irrational and y is rational, then x+y is irrational

This is why choice C is the answer.

The other answer choices are rational values which would make the sum rational, so that's why we can rule them out.

p+7-p2 = 18; 7 + p-p2 = 18
Addition Property
Distribution Property
Commutative Property
Associative Property

Answers

Answer:

Commutative Property

Step-by-step explanation:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

Which type of symmetry occurs when a line reflects a
figure onto itself?

Answers

reflectional symmetry

Please help me with this problem.

Answers

Answer:

Help him with this problem peeps

Step-by-step explanation:

Parallel lines have_slopes. Perpendicular lines have_ _ slopes ​

Answers

AnswerStep-by-step explanation:

Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 deg

A ticket to see your favorite baseball team costs ​$43.76. That price decreases by ​$0.33 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses ​games?

Answers

Answer:

C=$0.33L-$43.76

I hope this is good enough:

triangle A'B'C is created by dilating triangle ABC by a scale factor of 4. what is the length of AB? The length of A'B'

Answers

Answer:

The length of AB is 20 units

Step-by-step explanation:

The given parameters from the graph for coordinates A and B are;

The coordinates of the point A = (1, 4)

The coordinates of the point B = (4, 8)

The length of segment AB is given by the equation for finding the distance, d between two points given their coordinates as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

(x₁, y₁) = (1, 4)

(x₂, y₂) = (4, 8)

Substituting gives;

[tex]d_{AB} = \sqrt{\left (8-4 \right )^{2}+\left (4-1 \right )^{2}} = \sqrt{25} = 5[/tex]

The length of [tex]\overline {AB}[/tex] = 5

Therefore, given that ΔA'B'C is created by dilating ΔABC by a scale factor of 4, the length of A'B' = 4 × The length of AB

Therefore, the length of [tex]\overline {A'B'}[/tex] = 4 × The length of [tex]\overline {AB}[/tex] = 4 × 5 = 20

The length of [tex]\overline {A'B'}[/tex] = 20 units.

HELPPPPP HURRYYYYYY FASTTTT

Answers

Answer:

A.

Step-by-step explanation:

A slope is 2

B slope is -1/2

hope this helps :3

if it did pls mark brainliest

which of the following is not a case of direct variation

Answers

Answer:

I can't understand.. can you add pictures also

the fair has a total of 90 rides. 30% of the rides are considered kiddie rides. How many of the fair rides Are not kiddie rides?

Answers

It would be 60 wouldn't it?

Answer:

63

Step-by-step explanation:

70 percent aren't so multiply 90 by 7/10

PLEASE SOLVE ITS QUICK
Solve | X +6| = 16

Answers

I haven’t done math in a year but to solve for X I think the answer will be X=10

Answer:

|x| = 10

should be your answer

Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 *
4x + 1
20x + 1
4x + 13
20x + 13

Answers

Answer:

4x + 13

Step-by-step explanation:

Answer:

4x+13

Step-by-step explanation:

Just add the like terms together

12x-8x=4x

6+7=13

4x+13=4x+13

help please i only have 10 mins left
ill give brainliest!!!

Answers

A - 3
B is 33.333%
C is 66.666% are the answers

Dylan has a square piece of metalshat measures 13 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch? The length of the hypotenuse of each right triangle is inches.

Answers

Answer:

Step-by-step explanation:

a2+b2=c2

10

Answer:

18.4 is the answer

Step-by-step explanation:

18.4 = c

Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)

Answers

Answer:

I think its 'r= 15/7=0.467'

Step-by-step explanation:

45% of overnight campers reported feeling homesick their first night away.If 90 campers felt homesick, how many total campers were there?

Answers

200. use the equation x•0.45=90

multiple choice question:
simplify √-72 .
A) -6√2
B) 3√-2
C) 3√2i
D) 3i√2

Answers

Answer:

im really not to sure on this one. sorry dude

Step-by-step explanation:

The answer is 6i sqr rt * 2
Closest one to the answer is A

Subtract.
Your answer should be a polynomial in standard form.
(-7d^3-5d^3f^3-3f^3) - (8d^3+4d^3f^3+2f^3)

Answers

Answer:−93 3−153−53

Step-by-step explanation:

wrong answer but the answer is on google

What is the solution to 2(x-4)=16

Answers

Answer:

x=12

Step-by-step explanation:

Here is a diagram that describes the cups of green and white paint in a mixture. Select ALL the statements that accurately describe this diagram.

Answers

Answer:that’s the answer enjoy

Step-by-step explanation:

when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?

Answers

3 times is the answer.
the person will win 3 times
hope this helps :)
Other Questions
Which excerpt from the play best supports the statement? True or False:Maine was a part of Massachusetts.O TrueO False Simplify (10x^2 8x 1) + (4x^2 8x 5). in order to get brainleist u must answer correctly thx :) What is a long-term policy goal of the interest group?A. Influencing political appointmentsB. Regulating electionsC. Electing candidatesD. Ensuring rights for all In a market economy, who decides how resources are used and distributed? PLEASE HELP FAST ILL GIVE BRAINLIEST Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal Which is located inside the lung? what is the density of aluminum if you have a piece of aluminum that is 10.5cm x 10.5cm x 0.1cm and has a mass of 29.8 grams? In which form of city government does the city council appoint the department heads?A. commission formB. council manger formC. strong mayor systemD. weak mayor system 5(x+4)-3x+3=5 solve for x Which of the following statements accurately describe variation in human skin color?Data support a correlation between UV intensity and skin color variation.Human skin color variation is mostly determined by the types and amounts of melanin present in the skin.Variations in human skin color can be quantified, or measured.On average, the skin color if indigenous peoples around the world correlates with UV intensity in their environments.All of these are accurate. Rewrite this sentence using an IOP.Mis padres dan el dinero a nosotros. What instruments are used by scientists to measure wind speed Alexa transports flowers for Rolling Rosie's Garden Center. On her last route, she earned $450.80. If Alexa earned $0.40 for every mile, how far did she drive? 1.) What is the molecular weight of the ketone shown below?2.)Dry ice sublimes at 78.5 oC at a pressure of 1 atm. At room temperature and 1 atm pressure, what is happening to the dry ice molecules on a molecular level as sublimation occurs?3.)For the pairs of molecules given below, list the intermolecular forces in each molecule. Also, give the types of electrostatic interactions that could occur between each pair of molecules cyclohexane and CH2Cl2 CH3CH2OCH2CH3 and CH3CN 30. The table below shows the average temperature of a lake in months since April in a certain year. Findthe equation for the curve of best fit using a quadratic model, then predict the average temperature ofthe lake during December of the same year. Round all answers to the nearest hundredth.MonthTemp (F)April59May68June71July78August741 Which situation represents an example of a non-proportional relationship? A. A restaurant charges $1.75 for each soft drink. B. A cell phone company charges customers 10 cents per text sent or received. C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.D. A dog walker charges $10 to walk one dog for 30 minutes. Approximately how long will it take for $700 to double if it is invested at 4% annualinterest, compounded continuously?Round your final answer to the nearest whole year and do not label units.