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2 years ago

I need help on seeing if my answers are correct or not !

Mathematics

2 answers:

TEA [102]2 years ago

6 0

Answer:

false false false true true

Step-by-step explanation:

you got the first four wrong.

RoseWind [281]2 years ago

3 0

Answer:

a. False

b. False

c. False

d. True

e. True

Step-by-step explanation:

If n= 4 then

a. (7*4)^2 ≠ 7^8

b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added

c. 19^4/19 ≠ 19^4

d. (3*4)^2 = 144 which is 144 = 144

e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive

I plugged each equation into a calculator and it gave me these answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

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g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

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