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Feliz [49]
3 years ago
5

I am giving 25 points

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

\frac{7}{16}

Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.

So, since the total is 16, this will be the denominator, and the 7 will be the numerator.

So, it will be \frac{7}{16}

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NASA cameras film a rocket launcher vertically from the launch pad, 3 miles away. When the angle between the camera and the grou
Nimfa-mama [501]
The height of the rocket is found in terms of the angle as
.. h/(3 mi) = tan(θ)
.. h = (3 mi)*tan(θ)

Then the rate of change of height (vertical velocity) is
.. h' = (3 mi)*sec(θ)^2*θ'
.. h' = (3 mi)*4*(1.5 rad/min)
.. h' = 18 mi/min

The rocket's velocity is 18 miles per minute at that moment.
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3 years ago
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AysviL [449]
-0.4 because it is 3.6 - 4
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Equation of perpendicular line:<br><br> Equation of parallel line:
tamaranim1 [39]

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

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Hope that was helpful. :)

8 0
4 years ago
What is the radius of circle c
Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

<u>Equidistant Chords Theorem</u>

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

x + 3 = 2x + 1\\2 = x

Therefore:

\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12

All that is left is the Pythagorean Theorem in the right triangle.

<u>Pythagorean Theorem</u>

\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2

Hypotenuse in our case is the radius.

\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13

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2 years ago
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<span>The equation of the directrix of the conic section </span>y^2 + 16y + 4x + 4 = 0 is x = 16.
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3 years ago
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