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nasty-shy [4]
3 years ago
8

Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.

Mathematics
2 answers:
valina [46]3 years ago
8 0
Is it trigonometry?
In that case take 30 degree as our reference point, then the long side will be hypotenuse*cos 30 which is 10*1/2*sqrt(3)

You can always use the rule: front=hypotenuse*sin of the degree
 Side=hypotenuse*cos of the degree
Monica [59]3 years ago
7 0

Answer:

The side of long is, 5\sqrt{3} units

Step-by-step explanation:

This is the special right angle triangle 30^{\circ} -60^{\circ}-90^{\circ} as shown in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer side, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter side,

also,  the length of the longer side is \sqrt{3} times the length of the shorter leg.

Given: length of short(S) = 5 units , hypotenuse(H) = 10 units

To find length of long side(L)

Then,

Using above statement;

length of longer sides(L) = \sqrt{3} \times S

Substitute the values we get;

L = \sqrt{3} \times 5 = 5\sqrt{3} units

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Hich points are reflections of each other across the y-axis?
Serhud [2]

Answer:

(- 7, - 3) and (7, - 3)

Step-by-step explanation:

The best way to do this is to sketch the graph...when dealing with reflection in the y axis, the value for y remains the same and the value for x becomes negative if it was positive or becomes positive if it was negative

4 0
3 years ago
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Solve this equation: -88=5y-13
nadya68 [22]

Answer:

y=-15

Step-by-step explanation:

4 0
3 years ago
6. Find average of the following<br> expressions (4-2x), (-7-3x), and<br> (11x+6)
svetoff [14.1K]

Answer:

2x+1

Step-by-step explanation:

(4-2x), (-7-3x),(11x+6)

Add the three expressions

(4-2x)+ (-7-3x)+(11x+6)

Combine like terms

-2x-3x+11x+4-7+6

6x+3

Divide by the number of expressions which was 3

(6x+3)/3

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The average is 2x+1

7 0
3 years ago
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Need help on writing a proof.
viva [34]

Answer: Congruent


Step-by-step explanation:

Line BC is reflexive to itself

AB is congruent to CD, and that's given

Line AC is congruent to BC, using these prior proofs

Angle EDC and Angle FAB are congruent, and that's a given.

You can conclude that they are congruent by AAS



5 0
3 years ago
What is the equation for a line that passes through the points (5,-4) and (-10,17
maria [59]

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( x_{1},y_{1} ) & ( x_{2}, y_{2}  )-

 y - y_{1}   = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}  ( x - x_{1}  )

i.e.  <em>y - (-4)= \frac{17 - (-4)}{-10 - 5}  ( x- 5)</em>

<em>      y + 4 = \frac{17 + 4}{ -15} ( x - 5)</em>

<em>      y + 4 = \frac{21}{-15}  ( x - 5 )</em>

<em>      ( y + 4)  =  \frac{7}{- 5} ( x - 5)</em>

<em>      5 (y + 4 ) = - 7 (x - 5 )</em>

<em>      5 y + 20 = -7 x + 35</em>

<em>      7 x + 5 y = 15</em>

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

7 0
3 years ago
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