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Anika [276]
3 years ago
9

3 to the fifth power over 3

Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0

Answer:

81

Step-by-step explanation:

Solve.

3^5/3

Evaluate 3^5.

3*3*3*3*3=243

Divide.

243/3

ycow [4]3 years ago
5 0

Answer:

Step-by-step explanation:

\frac{3^5}{3}  = 3^{4}   or 81.

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two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an
zloy xaker [14]
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are  21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg  x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

-  horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
 
=> trigonometric ratio: tan(21.32) = h / x  => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet
5 0
3 years ago
Please help me with this :) i give 25 points .
nadezda [96]

Answer:

Step-by-step explanation: you brine is smart use it

7 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
fomenos

Hi!

<h3>To find the slope, use this formula</h3>

\frac{y2-y1}{x2-x1}

<h3>Put in the values</h3>

\frac{4-(-3)}{5-(-2)}=\frac{7}{7}simplify=1

<h2>The slope is 1 </h2>

Hope this helps! :)

-Peredhel

4 0
3 years ago
Help me please it’s simple :( thank u
Vikki [24]
All have 4 sides. That’s what I would put. Good luck and don’t copy links they’re most likely viruses
6 0
3 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
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