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Anastaziya [24]
2 years ago
7

The cuboid ABCDEFGH has sides AB = 3 cm, BC = 4 cm and CG = 5 cm.

Mathematics
1 answer:
vovangra [49]2 years ago
3 0

Answer:

7.071 cm

Step-by-step explanation:

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
0.1067 as a fraction
aev [14]

Answer:

1067/10000

Step-by-step explanation:

simple

4 0
2 years ago
Find the solution of this system of equations.
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16+ 44 so I =60 hdndmoaoaoajebdbvdjjssksk
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Solve the equation -31=-6z-4z
jok3333 [9.3K]
<span>-31=-6z-4z
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-31=-10z
Divide both sides by -10
Final Answer: 3.1 or 3 1/10</span>
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2 years ago
solve the equation 5x=25
LekaFEV [45]

Answer:

x=5

Step-by-step explanation:

5 0
2 years ago
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