1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
3 years ago
5

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 115 km south and 112 km east. Mt. Rainier is locat

ed approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

  5 minutes 4.8 seconds

Step-by-step explanation:

We can work this problem several ways. One is to determine the component of the distance from JBLM to the mountain that is in the direction the plane is flying. We can do that by finding the dot product of the vector to the mountain with the normalized direction vector of the airplane:

  JA = JR•(JP/|JP|) . . . . . . where JR = (56, -40) and JP = (112, -115)

  = (56, -40)•(112, -115)/√(112² +115²)

  JA = 10872/√25769 ≈ 67.7268 . . . . km

__

At a speed of 800 km/h, this distance will be covered in ...

  time = distance/speed

  time = (67.7268 km)/(800 km/h) = 0.0846585 h

That's about 5 minutes, 4.8 seconds.

_____

In the attached diagram, J represents JBLM, R represents Mt. Rainier, A represents the point of closest approach, and P would represent the location of the airplane after 1 hour of flying time, (112, -115). In the above, we have used the names of these line segments/vectors.

You might be interested in
Select the two values of x that are roots of this equation.<br> x2 - 5x + 2 = 0
Margaret [11]

Answer:

C and D

{x}^{2}  - 5x + 2 = 0 \\ x =  \frac{5± \sqrt{17} }{2}

8 0
3 years ago
Read 2 more answers
Simplify completely. (w^15/w^5)^4 <br> HELP PLEASE
Umnica [9.8K]

Answer:

w^{40}

Step-by-step explanation:

To simplify recall exponent rules:

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

Use rule #3 to simplify inside the parenthesis first.

\frac{w^{15}}{w^5}  = w^{10}

Now simplify the exponent of 4 using rule 6.

(w^{10})^4 = w^{40}


8 0
3 years ago
Due in 20 mins help pls
kodGreya [7K]

Answer: ....

P/s:

  • 2 × 3/12 = 3 × 2/12 = 6 × 1/12 (= 1/2)
  • 4 × 3/12 = 1

ok done. Thank to me :>

6 0
2 years ago
What is 34.75 - 0.876
Goryan [66]

Answer:

34.75 - 0.876 = 33.874

5 0
2 years ago
Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a height h meters long. the hypote
Aleks [24]

Answer:

5.415m and 2.585m long

Step-by-step explanation:

For a right triangle

hyp^2 = opp^2 + adj^2 (Pythagoras theorem)

Given

hypotenuse = 6m

height(opposite) = h meters

Adjacent = (8-h)m

Substitute into the expression above;

6² = h²+(8-h)²

36 = h²+64-16h+h²

36 = 2h²-16h+64

2h²-16h+64-36 = 0

2h²-16h+28= 0

Divide through by 2

h²-8h+14 = 0

Using the general formula

h = 8±√8²-4(14)/2

h = 8±√64-56/2

h = 8±√8/2

h = 8±2.83/2

h = 8+2.83/2 and 8-2.83/2

h = 10.83/2 and 5.17/2

h = 5.415 and 2.585

hence the length of the height of the right triangle are 5.415m and 2.585m long

7 0
3 years ago
Other questions:
  • Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove
    11·1 answer
  • When you multiply two prime numbers together the answer is always an odd number?
    5·1 answer
  • What is the length of segment AC?
    8·2 answers
  • A number greater than 40 whose prime factorization contain 3 prime numbers that do not repeat
    14·1 answer
  • Brian had 42 class fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Brian sell?
    6·1 answer
  • Wut is 100000000000 x 0
    10·1 answer
  • Select the correct answer.
    9·1 answer
  • BRAINLIEST IF CORRECTWhich set of statements explains how to plot a point at the location (−3 1/2,−2)? Group of answer choices S
    10·2 answers
  • Is 3.22×104 equal to 32,200?
    13·1 answer
  • The graph of a function g is shown please find the following g(10)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!