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

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Answer:

3rd one

Step-by-step explanation:

The last one

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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.

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

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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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

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

2+x = 2x -15
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Step-by-step explanation:

y=2x-3

Answer:

y=2x-3

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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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:

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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

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

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

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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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Answer:

Step-by-step explanation:

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