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3 years ago

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a movie ticket cost $9. a concert ticket cost $45. which equation can be use to find how many times as much the concert ticket c

osts than the movie ticket?

1 answer:

Maurinko [17]3 years ago

4 0

Answer:

9x5=45

Step-by-step explanation:

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Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

Read 2 more answers

X-8 mathematics expression

kakasveta [241]

In order to solve this i'd have to know what x equals?? does it tell you?

3 0

2 years ago

S=(1 r)<br> c. find c if s = r 174 and r= 45%

stepladder [879]

The question is incorrect because of the apparent contradiction the question makes.
First statement says that a quantity S is equal to quantity r.
The second statement says that S = 174r.
Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.

4 0

3 years ago

A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi

bonufazy [111]

Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

r = 0.4 m

The height of an umbrella,

h = 0.45 m

As we know,

The lateral surface of an umbrella will be:

⇒ $\pi r\sqrt{r^2+h^2}$

On substituting the values, we get

⇒ $\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}$

⇒ $0.756596 \ m^2$

So that the amount of fabric needed will be "0.756596 m²".

7 0

3 years ago

The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the

soldier1979 [14.2K]

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

5 0

2 years ago