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horrorfan [7]
2 years ago
5

An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i

n the sea. It then flies 483 miles from the sea at a bearing of S 55° W to another location. Finally, the aircraft flies straight back from the second location to its base. What is the total distance it flies, rounded to the nearest mile?
Mathematics
2 answers:
Oliga [24]2 years ago
8 0
1692.099523 miles is the most plausible answer <span>
</span>
svetoff [14.1K]2 years ago
5 0

The answer is 1692.

Hope this helps!!!

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Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ &lt; 0
katrin [286]
Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) = \frac{1}{sin(θ)} = 257
==> sin(<span>θ) = \frac{1}{257}
it is positive, so now we can determine that is in Quadrant 2

sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj: 257^{2} -  1^{2}  = adj ==\ \textgreater \  adj  \sqrt{ 257^{2} -   1^{2} } ==\ \textgreater \  adj = 16 \sqrt{258}

cosθ = \frac{16 \sqrt{258} }{257} &#10;
tanθ = \frac{1}{16 \sqrt{258} }
cos<span>θ = </span>16 \sqrt{258}
6 0
3 years ago
What is the area of this composite figure?
jek_recluse [69]

Answer:

7.14 in. sq

Step-by-step explanation:

First find the area of the square; 2x2=4

Now find the area of the semi-circle; radius = 1.    

1 squared= 1 Now multiply by 3.14 which equals 3.14

Now divide by 2 because it's a semi-circle, you get 1.57.

Multiply 1.57 by 2 because you have 2 semi-circles, the would equal 3.14

Add 4+3.14 and you get 7.14

The area of the composite figure is 7.14 in. sq

7 0
3 years ago
Jose earned 29.75 in 3.5 hours how much did he earn in one hour
baherus [9]

Answer:

$8.50

Step-by-step explanation:

$29.75 / 3.5 hours = $8.50 per hour

6 0
2 years ago
Read 2 more answers
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average
lisov135 [29]

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: R: (500, \infty)

Given that:

Phone = \$500

Monthly\ Plan = \$60

Let the number of months be t. So, the function C(t) is calculated as follows:

C(t) = Phone + Monthly\ Plan \times t

C(t) = 500 + 60 \times t

C(t) = 500 + 60t

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

C(0) = 500 + 60\times 0= 500 + 0 = 500

And the highest is \infty i.e. for a large value of t

So, we have:

C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty

Hence, the range of the function is:

R: (500, \infty)

Read more about range of functions at:

brainly.com/question/13824428

5 0
2 years ago
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