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yanalaym [24]
3 years ago
12

Consider right triangle ABC with C = 90°. If a = 24 and c = 25, find b. b =

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

If C is the 90 degree angle, then side c is the hypotenuse.

c^2 = a^2 + b^2

b = sqr rt (c^2 - a^2)

b = sqr root (625 -576)

b = sqr root (49)

b = 7

Step-by-step explanation:

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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
Can someone please give me a lesson on angles of depression and elevation?
Romashka-Z-Leto [24]

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

8 0
3 years ago
7. Find the value of x.
vlabodo [156]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the total surface area of a cylinder with a radius of 9ft and a height of 13ft?
Lady bird [3.3K]

Answer:

753.6 ft^2

Step-by-step explanation:

given:

radius=9 ft

height=13 ft

total surface area of cylinder=2πrh+2πr2

=2*3.14*9*13 + 2*3.14*(9)^2

=244.92 + 2*3.14*81

=244.92 + 508.68

=753.6 ft^2

6 0
3 years ago
Read 2 more answers
I need an explainarion
xz_007 [3.2K]

Answer:

x=3

Step-by-step explanation:

The line of reflection would be at x=3. It’s like a mirror.  The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes.  Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.

3 0
3 years ago
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