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allsm [11]
3 years ago
7

a right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what is the length of the ot

her leg?
Mathematics
1 answer:
crimeas [40]3 years ago
8 0
The length of the other leg is 14.4
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Represent 5 rational number between -1 and 0​
oksano4ka [1.4K]

Answer:

It could be any fraction such as -1/2, -4/5,-20/50, -1/3, -5/11 ...

As long as the fraction is larger than -1 but smaller than 0 it will work

Step-by-step explanation:

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The vertices of a triangle are labeled clockwise A(–5, 3), B(6, 1), and C(–2, –3). How could you show that the figure is a right
mafiozo [28]

Explanation:

When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.

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If you have studied vectors, you can find the dot product of AC with BC:

  AC = (-5, 3) -(-2, -3) = (-3, 6)

  BC = (6, 1) -(-2, -3) = (8, 4)

The dot product is ...

  (-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0

When the dot product of vectors is zero, they are perpendicular.

5 0
3 years ago
Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2​
lions [1.4K]

Step-by-step explanation:

here ,

cosec \alpha  =  \frac{1}{ \sin( \alpha ) }

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

\frac{1}{ \sin(2)   \frac{1}{2}   -  \cos(2) \frac{1}{2}  }  = 2

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

4 0
2 years ago
Please help! An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain
Gwar [14]

draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2 + k hope it helps

6 0
3 years ago
Read 2 more answers
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