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Brums [2.3K]
3 years ago
8

A 13-foot long ladder leans against the wall. the foot of the ladder is at a distance of 5 feet from the base of the wall.

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Answer:

The distance, in feet, from the ground to the ladder is 12 feet.

Step-by-step explanation:

To answer this question, we must use the Pythagorean Theorem- a^2+b^2=c^2. C is the hypotenuse, and a and b are legs.

We have: 5^2+b^2=13^2

Simplifying: 25+b^2=169

Subtracting 25 from both sides: b^2=144

B=12.

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A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perenta
gizmo_the_mogwai [7]

Answer:

11%

Step-by-step explanation:

60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.

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3 years ago
Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

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