All categories

3 years ago

Help anyone can somebody explain the answer please

Mathematics

2 answers:

Natalija [7]3 years ago

5 0

C^2 = a^2 + b^2
c^2 - b^2 = a^2
SquareRoot (c^2 - b^2) = a

SquareRoot (16^2 - 8^2) = a

SquareRoot (256 - 64) = a

SquareRoot (192) = a

SquareRoot (64) x SquareRoot (3) = a
8x SquareRoot (3) = a
Answer is Choice D

Sergeeva-Olga [200]3 years ago

3 0

Answer:

Step-by-step explanation:

8^2+x^2=16^2

You might be interested in

4 1/6 pounds of rice is divided into 5 equal portions. What is the weight in pounds of each portion?

Katen [24]

5/6 or 0.83 lbs is the anwser

4 0

2 years ago

Simplify. 10 + 51 -10 + 51 41

tatuchka [14]

Answer:

52.12

Step-by-step explanation

PEMDAS

Adding comes before subtracting

10+51=61

10+51 41=51.51

61-51.51=-52.12

3 0

2 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

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

$k = [CA +BC] - AB$