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lawyer [7]
3 years ago
10

Please help it is due today

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
I think it is also D
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A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

a^{2}+b^{2}=c^{2},

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation h^2 + (h - 68)^2 = (h + 4)^2 using the Pythagorean theorem (a^2 + b^2 = c^2).

h^2 + (h - 68)^2 = (h + 4)^2

On simplifying we get

h^2+h^2-136h+4624 = h^2+8h+16

2h^2-136h+4624=h^2+8h+16

h^2-144h+4608=0

Solving using quadratic formula

h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}  

h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

#SPJ4

7 0
2 years ago
The Haynes family is building an addition to their house that includes a new
elixir [45]

Answer:

<u>Part A</u>

 A_{t}=22(12+w)

Applying Distributive property: A_{t}=264+22w

<u>Part B</u>

A_{t}=660\ ft^2

Step-by-step explanation:

<em><u> Attached is the model that belongs to this exercise (The model was missing)</u></em>

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

<u>Part A</u>

Notice that the dimensions of the new bathroom are:

l=22\ ft\\w=12\ ft

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

A_{t}=22(12+w)

Applying Distributive property:

 A_{t}=264+22w

<u>Part B</u>

If the width of the bedroom is 18 feet, you need to substitute this value into the expression A_{t}=264+22w in order to find the total square footage of the two rooms:

A_{t}=264+22w\\\\A_{t}=660\ ft^2

6 0
3 years ago
1. mutliply 3.and 3/5 enter your answer as an improper fraction in simplified form in the box.
natali 33 [55]

Answer:

1.\frac{9}{5}

2.-11\frac{1}{4}

3.10\frac{1}{8}

4.4\frac{17}{24}

5.-4\frac{7}{12}

Step-by-step explanation:

In order to solve them you just have to multiply them and add them:

3 (\frac{3}{5} )=\frac{15+3}{5}=\frac{18}{5}

-4\frac{1}{2}  (2\frac{1}{2} )=-(\frac{9}{2} )(\frac{5}{2}) =-(\frac{45}{4}) =-11\frac{1}{4}

(-2\frac{1}{4} )(-4\frac{1}{2}) =(-\frac{9}{4}) (-\frac{9}{2} )=-\frac{81}{8} =-10\frac{1}{8}

3\frac{3}{8}+ 4\frac{1}{3}=7\frac{8+9}{24} =7\frac{17}{24}

-2\frac{1}{4} +-2\frac{1}{3}=-4\frac{7}{12}

5 0
3 years ago
How many points determine a unique line?
Nesterboy [21]
B. 2 Points determine a unique line
4 0
3 years ago
Read 2 more answers
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
miss Akunina [59]

Answer:

3^5

Step-by-step explanation:

<em>exponents:</em>

1 - ( - 4 ) = 5

Therefore,

3^5

7 0
2 years ago
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