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3 years ago

Find the exact value of X.

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

8 0

Answer:

There's no question buddy

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

QUESTION 2<br><br> Which graph could be used to represent a non-proportional situation?

madreJ [45]

The one that doesn’t go through the origin

6 0

3 years ago

There are 27 performances in a dance recital. The ratio of hip hop to ballet is 5:4.

Aloiza [94]

Answer:

15 hip hop performances

12 ballet performances

Step-by-step explanation:

5:4 (multiply by 3)

15:12

6 0

3 years ago

The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and th

klemol [59]

The area of a triangle can be calculated using the formula

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16 = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

6 0

3 years ago

What is the x value 5x+8-3x=-10

otez555 [7]

5x + 8 - 3x = 10
First you can combine the like terms.
5x - 3x + 8 = 10
2x + 8 = 10
- 8 - 8
2x = 2
$\frac{2x}{2} = \frac{2}{2}$
x=1

3 0

3 years ago

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