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Vesna [10]
3 years ago
14

Which number line shows the solution to the inequality?

Mathematics
1 answer:
erik [133]3 years ago
5 0
The answer is c
hope this helps :)

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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
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of
katovenus [111]

Answer:

sample mean

Step-by-step explanation:

6 0
3 years ago
I need help to solve this problem p/0,05p
AfilCa [17]

p / 0.05p

= 1 / 0.05

= 20  answer

7 0
3 years ago
Select the equation that contains the point (-5, 2) and in which the slope equals 1/2
goblinko [34]
C is the correct answer. using the equation (y-y1)=m(x-x1)
6 0
3 years ago
Which of the following is false?
Liula [17]

Answer: C

Step-by-step explanation:

7 0
3 years ago
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