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
lana [24]
3 years ago
10

A ship sails from harbour h on a bearing of 084 for 340 km until it reaches point P. It the sails on a bearing of 210 for 160km

until it reaches point Q. Calculate distance between point Q and harbor. ( Please help me find angle P, i do not know if I need to ise angle 210 to solve for QH)
Mathematics
2 answers:
NemiM [27]3 years ago
8 0

Answer:

Angle at p is 54°

Distance between Q and harbor is

77249 km

Step-by-step explanation:

The bearing from H to P is 084°

∵ The bearing from P to Q is 210°

∵ The distance from H to P = 340 km

∵ The distance from P to Q = 160 km

∴ The angle at p = 84 - (210-180)

= 84 - 30

= 54°

Using cosine rule

And let's call length qh "x"

X = (hp)² + (pq)² -2(hp)(pq)cosx

X = 340²+160² -2(340)(160)cos54

X = 115600+25600 -2(54400)(0.587785)

X= 141200-63951

X = 77249km

sattari [20]3 years ago
7 0

Answer:

QH = 227.8 km ≅ 228 km

Step-by-step explanation:

∵ The bearing from H to P is 084°

∵ The bearing from P to Q is 210°

∵ The distance from H to P = 340 km

∵ The distance from P to Q = 160 km

∴ The angle between 340 and 160 = 360 - 210 - (180 - 84) = 54°

( 180 - 84) ⇒ interior supplementary

By using cos Rule:

(QH)² = (PH)² + (PQ)² - 2(PH)(PQ)cos∠HPQ

(QH)² = 340² + 160² - 2(340)(160)cos(54) = 51904.965

∴ QH = 227.8 km ≅ 228 km

You might be interested in
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
3 years ago
Find the value of each variable ​
yanalaym [24]

Answer:

i think teh value of each variable is 45.

Step-by-step explanation:

7 0
3 years ago
How many times can 475 go into 1,662?
Solnce55 [7]
3.498947368421053 <- Exactly...

Evenly: Three times. It comes out to be 1425 with 237 left...

I hope this answers your question... Let me know if I didn't! <3 


7 0
3 years ago
Read 2 more answers
Travis just got a new credit card that offers inductors APRof 3.6% for first 3 months and standard APR of 14.4% thereafter. If i
Makovka662 [10]

Answer:

Month 1 : 0.002988

Month 2: 0.00299692814

Month 3: 0.00300588297

Step-by-step explanation:

Since we're only finding the interest for the first three months, it's easy to do it by performing the simple interest formula. But first, we need divide 3 by 12, since we calculate interest using years. 3/12 = 1/4 = 0.25

The standard simple interest calculation is done by multiplying the starting amount, by the interest, by the time, then dividing by 100 to put it into a percentage.

1 month = 1/12 or approximately 0.083 of the year.

Let's say P = 1. For the first month, it will be 1 x 3.6 x 0.083 = 0.2988 / 100

The second month, (1 + 0.002988) * 3.6 * 0.083 = 0.299692814 / 100

The third month, (1.002988 + 0.00299692814) x 3.6 x 0.083 = 0.300588297/100

Given the initial amount be 1, those would be the periodic interest rate during the first three months.

5 0
3 years ago
Match the statement to the property it shows.
xxMikexx [17]

Answer:

If MN = XY, and XY = AB, then MN = AB.  Transitive Property

If AB = CD, then CD = AB.  Symmetric Property

Segment CD is congruent to segment CD. Reflexive Property

Step-by-step explanation:

Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.

Symmetric Property states that for all real numbers a and b, if a = b, then b = a.

Reflexive Property states that for every real number a, a=a

6 0
3 years ago
Read 2 more answers
Other questions:
  • a restaurant bill comes to $28.35. find the total cost if the tax is 6.25% and a 20% tipis left on the amount before tax
    15·1 answer
  • 4 friends share 3 oranges equally. How much does each friend get?
    8·2 answers
  • The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years,
    5·1 answer
  • If you know circle things, help pls :/
    9·1 answer
  • What is the percent for 32 decreasing to 28?
    12·1 answer
  • 12. Mr. Ellis needs to drain his above ground pool before the winter. The graph below represents the relationship between the nu
    10·1 answer
  • Helppppppp pleaseeeee!!
    6·2 answers
  • Someone help me with this
    8·1 answer
  • If CD is not parallel to EF, what is m2C?
    14·1 answer
  • I needhelp please :(
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!