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Karolina [17]
2 years ago
15

Geometry Help Pythagorean

Mathematics
1 answer:
labwork [276]2 years ago
4 0

Answer:

Third side = 7

Step-by-step explanation:

x = third side:

x=\sqrt{(6)^{2}+(\sqrt{13})^{2}   }  =\sqrt{36+13} =\sqrt{49} =7

Hope this helps

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What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
3 years ago
Read 2 more answers
A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
There are 3,848 students and staff at happy town high school. if the principal friendly and 15 teachers are infected by a zombie
Ostrovityanka [42]

Answer:

no

Step-by-step explanation:

at firth hr - 15×2=

2 nd hr - 60×2

and so on,it takes more than 8 hr

5 0
3 years ago
Is the solution positive or negative?
Ksivusya [100]

Answer:

-2x=6.3 (negative)x=−3.15

3.1x= -17.2=(negative)x=−5.548387

Step-by-step explanation:

4 0
3 years ago
What is 91.2 + 89.9​
larisa [96]

Answer:

8198.88

Step-by-step explanation:

7 0
3 years ago
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