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umka2103 [35]
2 years ago
10

A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.

Mathematics
1 answer:
andreev551 [17]2 years ago
7 0

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

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Describe the different type of polygons
gladu [14]


Convex Polygons



All of its angles are less than 180°.

All of the diagonals are internal.

Concave Polygons


 At least one angle measures more than 180°.
 At least one of the diagonals is outside the shape of the polygon.

 

Equilateral Polygons


All sides are equal.

 

Equiangular Polygons


All angles are equal.

 

Regular Polygons


They have equal angles and sides

 

Irregular Polygons

They do not have equal angles and sides.

Types of Polygons based on Number of Sides

Triangle


3 sides.

 

Quadrilateral


4 sides.

 

Pentagon


5 sides.

 

Hexagon


6 sides.

 

Heptagon


7 sides.

 

Octagon


8 sides.

 

Enneagon or Nonagon


9 sides.

 

Decagon


10 sides.

 

Hendecagon


11 sides.

 

Dodecagon


12 sides.

 

Tridecagon or triskaidecagon


13 sides.

 

Tetradecagon or tetrakaidecago


14 sides.

 

Pendedecagon


15 sides.

 

Hexdecagon


16 sides.

 

Heptdecagon


17 sides.

 

Octdecagon


18 sides.

 

Enneadecagon


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Icosagon


20 sides.

 


3 0
2 years ago
9 [1+345-(6-8 +48 x 23 -77​
melisa1 [442]

Answer:

1933

Step-by-step explanation:

9 x (1 + 345) - 6 - 8 + 48 x 23 - 77

Use BODMAS method to solve these type of equation

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

_________________________________________________________

Brackets - 1 + 345 = 346

Multiplication

9 x 346 = 3114

48 x 23 =  1104

Lets rewrite the equation now

3114 - 6 + 1104 - 77

Addition

6 + 1104 = 1110

Subtraction

3114 - 1104 = 2010

2010 - 77 = 1933

Answer = 1933

__________________________________________________________

Hope you understand

:-)

6 0
3 years ago
The given equations below are parallel perpendicular or neither​
hammer [34]

Answer:

The full answer in the media.Good luck.

4 0
2 years ago
-7/8 - (-h) = -7/12<br> solve for h<br> pls show work
Westkost [7]

Answer:

The answer is 7/24.

Step-by-step explanation:

I attached a picture, but I'll try to walk through it here.

1) A negative and a negative makes a positive, so h becomes positive.

2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).

3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.

4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.

5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.

You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.

6 0
2 years ago
Multiply. (−0.64)(−2.5) Enter your answer as a decimal in the box.
lubasha [3.4K]
The answer would be 1.6
4 0
3 years ago
Read 2 more answers
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