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timama [110]
3 years ago
13

What is the value of the rational expression below when xis equal to 3?

Mathematics
1 answer:
Art [367]3 years ago
4 0
The answer is A
Step by step
4.3454
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A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
3 years ago
What’s the cot(180°) + (cos(180°)/sin(180°))
KatRina [158]

Answer:

the answer is 'undefined'

Step-by-step explanation:

Cot is defines as (cos x)/(sin x)

So we can rewrite our expression as...

(cos 180°)/(sin 180°) + (cos 180°)/(sin 180°)

or

2(cos 180°)/(sin 180°)

Cos 180° = 1, sin 180° = 0   (you get these from the unit circle)

so we have

2(1/0) = 2/0,  which is undefined, because we don't divide by zero

6 0
3 years ago
Any help would be cool
Mashcka [7]

Step-by-step explanation:

the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .

hint : volume : h×l×w ( height times length times width)

so the cubiod is 12 times 29 times 12 =

you work out the answer for that .

the triangular prism you try working out the volume.

6 0
4 years ago
Which is the best approximation for the measure of angle ABC?
ankoles [38]
We can find the approximate measurement of angle ABC  and it is equal to 180°. The summation of all angles in a triangle is 180°.
Solving for x or angle B, we need to used Pythagorean theorem and SOH CAH TOA.
Solving for angle A:
sinA = 10.5/20
A = 31.67°

Solving for angle B:
180° = ∠C + ∠B + ∠A
180° = 90° + ∠B + 31.67
∠B = 58.33°

The x value is 58.33°.
3 0
3 years ago
Is (1,9),(-3,-2) (1,-4) a function?
ivann1987 [24]

Answer:

No

Step-by-step explanation:

No, because the input 1 occurs twice and has 2 different y-values associated with it.  

4 0
4 years ago
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