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irinina [24]
3 years ago
5

Y= Pls help solve for

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

y=39\degree

Step-by-step explanation:

The given triangle is a right angle triangle .

The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.

The value of y can be calculated using the tangent ratio.


\tan(y)=\frac{8}{10}

We solve for y to get,

y=arctan(\frac{4}{5})

We evaluate to obtain,

y=38.66


y=39\degree to the nearest degree


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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
In the figure,  x ∥ y and a is a transversal that crosses the parallel lines.
Dominik [7]
Here, exterior angles are 1, 2, 7 & 8 as they are outside the parallel lines, & among them, alternates are: 1 with 7 and 2 & 8. 1 & 7 is not in option but 2 and 8 is there in C

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Which set of ordered pairs that satisfy the equation
krok68 [10]

Answer:

3

Step-by-step explanation:

3

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Solve for X. Need to show the work -<br><br> Need help please.
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Answer:

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Step-by-step explanation:

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Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.
Law Incorporation [45]

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

<h3>How to determine the lateral area?</h3>

The given parameters are:

  • Base length (b) = 6
  • Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

<h3>How to determine the surface area?</h3>

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

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Hence, the surface area is 292.72 square centimeters

Read more about areas at:

brainly.com/question/24487155

#SPJ1

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