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2 years ago

Solve for x and round yout answer to the nearest tenth.

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

5 0

Answer:

x=21.35764429=21.4

Step-by-step explanation:

Take SOHCAHTOA

in this problem you're going to use SOH, which is sine= opposite/hypotenuse

sin31=11/x

Multiply by x as a way to isolate it

x(sin31)=11

divide my sin31 to isolate x

x=11/sin31

x=21.35764429

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1. Find the value of

spin [16.1K]

9514 1404 393

Answer:

-√5
3/5
-4/5

Step-by-step explanation:

The relevant relations are ...

sec = ±√(tan² +1)

cos = 1/sec

csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

8 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

$k = [CA +BC] - AB$

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

=> $k =109.6 \ miles$

4 0

2 years ago

35. How much leather is needed to sew a ball

just olya [345]

Answer:

593.04 square inches leather is needed.

Step-by-step explanation:

Leather needed to sew a ball = Surface area of the ball

Surface area of the sphere = 4πr²

= 4π(6.55)²

= 539.13 inches²

Since 10% extra material is needed for the seams, amount of material required = 539.13 + (10% of 539.13)

= 593.043

= 593.04 square inches

593.04 square inches of leather will be needed.

8 0

2 years ago

Divide £250 to ratio 3:6:1

fiasKO [112]

Answer --> 75 : 150 : 25

3/10 x 250 = 75
6/10 x 250 = 150
1/10 x 250 = 25

7 0

2 years ago

Read 2 more answers

a baby weighs 8 pounds 10 ounces.if her weight doubles in 6 months, how much will she weigh in 6 months?

natta225 [31]

I think that the baby would weight 18 pounds if her weight doubles in six months

8 0

2 years ago