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Natalka [10]
3 years ago
6

Solve for x. A) 3.0 B) 3.25 C) 3.5 D) 3.75

Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0

Answer:  D) 3.75

Step-by-step explanation:

According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.

Based on this, you can find the value of "x" with:

(5)(3)=(4)(x)\\15=4x

Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:

\frac{15}{4}=\frac{4x}{4}\\\\x=\frac{15}{4}\\\\x=3.75

This value matches with the option D.

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Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 incre
masya89 [10]

Answer:

$12

Step-by-step explanation:

If we stuck with the price of $8, then we end with an income of $2400

Increasing it by $1 will decrease attendance by 20

8 x 300 = 2400

9 x 280 = 2520

10 x 260 = 2600

11 x 240 = 2640

12 x 220 = 2640

13 x 200 = 2600

We're starting to go down, so let's stop there

The ticket price of $11 or $12 appears to give the most income

I would stick with $12 since your still getting more money from one ticket

6 0
3 years ago
If the ball rolled 20 meters in 5 secoundes whats its speed
MaRussiya [10]

Answer:

4 meters/ sec

Step-by-step explanation:

20/5 = 4 Lol

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8 0
3 years ago
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What is the image of (3,9) after a dilation by a scale factor of 3 centered at the origin
Sav [38]

Answer:

(9, 27 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3

(3, 9 ) → (3(3), 3(9)) → (9, 27 )

7 0
3 years ago
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A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
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The first two steps in the derivation of the quadratic formula by completing the square are shown below.
lidiya [134]

Answer:C

Step-by-step explanation:

3 0
3 years ago
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