Mathematics High School

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

HELP MATH EXPERTS ! Points 15 !!.

Answers

Answer:

its B

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

it's quite simple actually. It's so simple I don't know how to explain.

A pair of jeans regularly priced for $50 have been marked down by 10%. What is the new sale price?
HELP ASAP!!! PLEASE

Answers

Answer:

Step-by-step explanation:

Answer:

$46

Step-by-step explanation:

Two more than a certain membership is 15 less than twice the number

Answers

2+x = 2x -15
2+15=2x - x
17 = x

The temperature was -4° F at 1:00 AM It was 11° warmer at 2:00 PM and then dropped
back down 16° at midnight. What was the temperature at midnight?

Answers

-4 + 11 = 7
7 - 11 = -9

PLEASE HELP ASAP Light takes about 4.2 years to reach Earth from Proxima Centauri, which is the closest star to Earth other than the Sun. How many days does it take the light to travel that distance?

Answers

Answer:

1,533 days.

Step-by-step explanation:

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Answers

Answer:

75 degrees

Step-by-step explanation:

Straight angles are 180, so since we already know one side (105 degrees). This means that 105+x=180

If you solve it you get 75

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Answers

Answer: C. and F.

Step-by-step explanation:

(4,8) and (-2,16). how do you find the y-intercept

Answers

Answer:

Look at explanation

Step-by-step explanation:

All you have to do is plot these points on a graph. Then make a straight line through them.

The y-intercept is the point of the line that passes through y, the vertical line.

The example shows that the y-inercept is (0, 3)

Answer:

you would minus the ys and minus the xs and turn them into a fraction

Step-by-step explanation:

What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3

Answers

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

х
2
4
6
8
10
у
1
5
9
13
17
HELP

Answers

Step-by-step explanation:

y=2x-3

Answer:

y=2x-3

Step-by-step explanation:

figure out the slope with the points (2,1) and (4,5) to get the slope of 2 meaning that you already have this much of the equation y=2x than figure out what you would need to make those points true so y=2x-3

Write a recursive rule for the sequence –17.-11, -5, 1, ...
show complete working format please

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 with a₁ = - 17

What is the transformation!
reflection, rotation, translation, none of them !

Answers

Answer:

translation

Step-by-step explanation:

Sliding: moving a shape without rotating or flipping it.

A shuttle bus leaves from my office at a speed of 32 miles per
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distance from the office to my house is 83 miles ?

Answers

Answer:

Step-by-step explanation:

What value of x satisfies this equation? log(5x+20)=2

Answers

Answer:

Step-by-step explanation:

Given expression:

log(5x + 20) = 2

From the given expression, we are to find x;

Using the rule of logarithm, we can solve this problem;

logₐb = C

b = Cᵃ

So;

log(5x + 20) = 2

this is to base 10;

5x + 20 = 10²

5x = 100 - 20

5x = 80

x = 16

Answer:

16 was right

Step-by-step explanation:

Please help for brainliest.

Answers

Answer:

Step-by-step explanation:

The answer is c 57.29 so the problem would be (y=0.05x750+19.79) 0.05x750=37.5 then 37.5+19.79=57.29 so y= 57.29

Need helpp Hurry to get brainliest!!

Answers

Answer:

x =30

Step-by-step explanation:

4x + 40 = 6x-20 (set them equals)

40= 6x- 20-4x

40+20=2x

2x=60

divide by 2

x=30

Answer:

the answer is x=7

Step-by-step explanation:

Can someone please help me

Answers

Answer:

dilation factor is 4

Step-by-step explanation:

what did you had to multiply the side of the small initial picture by to get the big picture?

-the small side that is 2 became 8 so you multiplied by 4

PLEASEEEEE HELPPP!!!
HL
AAS
ASA
SSS
SAS
Unknown

Answers

angle angle side (AAS) we see the there are dash marks on each of the angles and the triangles share one side. pls give brainliest if possible. have a good day!!

Find the value of x.

Answers

The answer to the question is 30

Function R gives the amount of rain measured by a rain gauge hours since it started raining. The amount of rain is measured in millimeters.

What does each expression or equation represent in this situation

a. R(3)

b. R(0.5)=14

Answers

Answer:

R(3) means that it has rained 3 millimeter and R(0.5)=14 means in 14 hours it has rained half a millimeter.

Step-by-step explanation:

The function R defines the amount of rain for a certain number of hours.

R(3) means the amount of rain in 3 hoursR(0.5) = 14 means the amount of rain in 0.5 hours is 14 millimeters

This function R can be represented as:

[tex]\mathbf{y = R(x)}[/tex]

Where:

y represents the amount of rain, and x represents the time

So, the meaning of R(3) is:

The amount of rain in 3 hours

While the meaning of R(0.5) = 14 is:

The amount of rain in 0.5 hours is 14 millimeters

Answers

Answer:

parallel, series

Step-by-step explanation:

The answer is A, Parallel, Series

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Answers

Answer:

hiii

Step-by-step explanation:

=-8

Answer:

x = -5

Step-by-step explanation:

h(n) = -2n² + 4; Find h(4)
A.-28
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C.28
D.-4

Answers

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

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Answers

Answer:

Congrats you are correct.

Step-by-step explanation:

It took a while but i solved it.

Ram buys an article for $ 1800 and sells it at 10% loss. Find its selling price. *

Answers

Answer:

The answer is $180

Step-by-step explanation:

10% = 0.10

.10 x 1800 = 180

Answer:

cost price ( cp) =$ 1800

loss = 10%

selling price ( sp) = ?

we know,

sp= cp - loss percent of cp

= 1800- 10/100 × 1800

= 1800 - 0.1× 1800

= 1800-180

=$1620

: . $1620 is the selling price of an article.

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Answers

Answer: I dont know this, but can you pl give me brainliest, i wanna know what it looks like and what it does

Step-by-step explanation:

Please give an answer asap! This is due today, and I will give brainliest.

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Answer:

3rd one

Step-by-step explanation:

The last one

Answer:c

That is

s ss s ss s ss s ss s s ss

What is the total price of a $32 restaurant tab if you leave a 20% tip?

Answers

Answer:

About 38 dollars

Step-by-step explanation:

If there is a 20 percent tip ten it would be 1/5 of the amount. Then the answer would be 38.

what is The difference of 2.1 and twice a number p is negative 4.7 converted to numbers

Answers

Answer:

3.4 or 3 and 2/5

Step-by-step explanation:

How do you find the total cost of a $12.95 DVD after the tax is added. The tax rate is 6.25%.

Answers

Answer:

the correct answer would be 13.75

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