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Brilliant_brown [7]
3 years ago
15

If x -1/7,evaluate x²+1/x²​

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

given \: x =  -  \frac{1}{7}

x {}^{2}  +  \frac{1}{x {}^{2} }

(  - \frac{1}{7} ) {}^{2}  +  \frac{1}{  (  - \frac{1}{7} ) {}^{2} }

\frac{1}{49}  +  \frac{1}{ \frac{1}{49} }

\frac{1}{49}  +  \frac{1 \times 49}{1}

\frac{1}{49}  + 49

\frac{2402}{49}  \: or \: 49.02

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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

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