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
leva [86]
2 years ago
5

I am on my trigonometry unit in math and don’t know what to do for this. I also really need work shown!

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0

Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

You might be interested in
Two consecutive integers are such that 3 times the larger exceeds twice the smaller by 34. find the integers.
julsineya [31]

x - a smaller number

(x+1) - a larger number

3(x+1) - 2x = 34

3x + 3 - 2x = 34

x= 31

(x+1) = 32

7 0
3 years ago
Read 2 more answers
1/5x + 1/4 = 1/2(x+5) Answer Plz I Need It!
pav-90 [236]

Answer:

x=-15/2

Step-by-step explanation:

5 0
3 years ago
a. How wide must a wall footing be if the load is 9,500 pounds per foot of wall length, and the footing rests on a sandy gravel?
Phantasy [73]

Answer:

a) 38"

b) L = 5.7'

Step-by-step explanation:

a) Given

P = 9,500 lb/ft

Thick = 18"

We assume an allowable bearing pressure of σ = 3000 lb/sf

If Stress = Force / Area

σ = P/A

Solving for area

A = P/σ  ⇒  A = 9,500 lb/ft/3000 lb/sf

⇒  A = 3.167 sf,  or  3.167 ft wide, per foot of length.

⇒  A = 38" wide

We can see the pic 1 in order to understand the answer.

b) Given

P = 65,000 pounds = 65,000 lb

Thick = 18" = 1.5'

We assume an allowable bearing pressure of σ = 2000 lb/sf

If Stress = Force / Area

σ = P/A

Solving for area

A = P/σ  ⇒  A = 65,000 lb/2000 lb/sf

⇒  A = 32.5 sf

then A = L²  ⇒  L = √A = √(32.5 sf) = 5.7 ft

Finally L = 5.7'

We can see the pic 2 in order to understand the answer.

3 0
3 years ago
Find the value of x that makes m || n. Explain.
Nady [450]

Answer:

Step-by-step explanation:

x=120/3

x=40

7 0
3 years ago
Read 2 more answers
What is the prime factorization of 36?
kykrilka [37]

Answer:

D

Step-by-step explanation:

In the prime factorization of 36 = 2² x 3², the two is used as a factor two times and the three is used as a factor twice. When checking to see if a number is prime or not, you need only divide by those prime numbers that when squared remain less than the given number.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the range of this data?<br> {3, 3, 0, 8, 7, 10, 2, 6, 12, 0}
    10·2 answers
  • What the decimal that is 1/10 of 3.0
    7·1 answer
  • Please someone answer this question!
    5·2 answers
  • A washer and a dryer coat $774 combined. The washer costs $74 more than the dryer. what is the cat of the dryer?
    8·2 answers
  • There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library?
    7·1 answer
  • What is the diameter of a circle with a radius of 5.4 cm
    8·1 answer
  • Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 per
    13·1 answer
  • Find f(-2) for the following function. <br><br>f(x)=3.6x-2​
    11·1 answer
  • Which statement compares the two numbers correctly?
    10·1 answer
  • Please help ASAP! 20 points!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!