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Savatey [412]
3 years ago
9

A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

istance of the boat from it’s starting point

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

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How would you limit the domain to make this function one to one f(x)=5-x^2
Maksim231197 [3]

Answer:

  choose x ≥ 0 or x ≤ 0

Step-by-step explanation:

The vertex of the parabola is at x=0. If values of x are included from both sides of the vertex, the function will not pass the horizontal line test. So, the domain must be limited so that it does not include both positive and negative values of x.

The domain could be x ≥ 0, or x ≤ 0, or some subset of either of these intervals.

8 0
3 years ago
Which data set is accurate and precise based on a correct value of 30?
Pepsi [2]

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Let's first clarify what is accurate and precise:

Precise is based on how close two or more measured values are to each other. While something is said to be accurate, when the standard value values are close, which in our case is 30.

Therefore, we analyze each set:

Set 1: 30, 35, 32, 30, 29

This set is precise and accurate, since 2 values are 30 and all their values are close to each other.

Set 2: 15, 16, 12, 15, 14

This set is precise, because all of its values are close but not accurate.

Set 3: 19, 30, 78, 43, 30

This set is somewhat accurate because there are 2 values of 30, but it is not precise because its values are separate.

Set 4: 30, 30, 67, 12, 90

It is the same case of Set 3.

Therefore the answer is Set 1.

8 0
3 years ago
PLS PLS PLS HELP I DONT UNDERSTAND THIS AT ALL!!!!!!!! I WILL MARK BRAINLIEST!!!!
Phoenix [80]

Answer:

The ordered pair is B and E

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please solve in the next 10 minutes pleaseeee
Alex787 [66]

Answer:

43.82 mph

266.67 feet

Step-by-step explanation:

Given :

S = √30fl

S = speed of car

f = drag Coefficient

l = Length of skid mark

If f = 0.8 ; l = 80 feets

s = √30fl

s = √(30*0.8*80)

s = √1920

s = 43.817

s = 43.82 mph

B.)

s = 80 mph

f = 0.8

s = √30fl

80 = √30*0.8*l

80 = √24l

Square both sides

80² = 24l

6400 = 24l

l = 6400/24

l = 266.67 feets

6 0
2 years ago
What is the developed form of 2(3x-10)
vovikov84 [41]
The first step to finding the developed form is to multiply each term in the parenthesis by 2
2 × 3x - 2 × 10
now,, youll need to calculate the product of the first multiplication set
6x - 2 × 10
finally,, multiply the last set of numbers
6x - 20
this means that the correct answer to your question is 6x - 20.
let me know if you have any further questions
:)
6 0
3 years ago
Read 2 more answers
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