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2 years ago

What are the

Mathematics

1 answer:

mario62 [17]2 years ago

5 0

Answer:

x = 1+√83 i/6 and 1-√83 i/6

Step-by-step explanation:

Given the quadratic expression;

3x^2-x+7 =0

Using the general foemula to find x

x = -b±√b²-4ac/2a

From the equation

a = 3, b = -1 and c = 7

Substitute

x = -(-1)±√(1)²-4(3)(7)/2(3)

x = 1±√1-84/6

x = 1±√-83/6

x = 1±√83 i/6

x = 1+√83 i/6 and 1-√83 i/6

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2 years ago

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Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = $59^{0}$ + $34^{0}$

= $93^{0}$

Thus,

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<CBA = $90^{0}$ - $34^{0}$ = $56^{0}$

Sine rule states;

$\frac{a}{Sin A}$ = $\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{b}{Sin 56^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{b}{0.8290}$ = $\frac{242}{0.9986}$

cross multiply,

b = $\frac{0.8290*242}{0.9986}$

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Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

$\frac{a}{Sin A}$ = $\frac{c}{Sin C}$

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cross multiply,

a = $\frac{0.5150*242}{0.9986}$

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Sarge is about 125 feet away from the fire.

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