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2 years ago

A ship sails 200 km on a bearing of 243.7 degrees.

Mathematics

2 answers:

ValentinkaMS [17]2 years ago

7 0

200 * sin(243.7) ≈ - 179.29 179.29 km to the west
200 * cos (243.7) ≈ - 88.61 88.61 km to the south

Mashcka [7]2 years ago

5 0

Answer:

Step-by-step explanation:

The bearing is always measured from the North direction so when we say that the bearing is 243.7 degrees , It means that the ship has sailed in the direction clockwise of North to 243.7 degrees .

When we try to find the distance it has traveled towards south the cos component is used .

so the Ship traveled = 200 cos (243.7) = - 88.61

Negative value represents the opposite direction from North so we say that

Ship has traveled 88.61 km south .

Now the west direction distance can be found by using the sin component

so the distance traveled in the west direction is

200 sin(243.7) =179.30 km

Ship has traveled 179.30 km west .

Read more about set of numbers at:

brainly.com/question/4735895

5 0

2 years ago

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

mezya [45]

<h2><u><em>Answer: </em></u></h2><h2><u><em> </em></u></h2>

ASA and AAS

<h2><u><em>Step-by-step explanation: </em></u></h2>

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

5 0

2 years ago

Read 2 more answers

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe

Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

$h(t) = 11\cdot \cos (12\cdot t)$

Where:

$t$ - Time, measured in seconds.

$h(t)$ - Height with respect to centre, measured in metres.

If $\cos (12\cdot t) = -1$ , then:

$h_{min} = 11\cdot (-1)$

$h_{min} = -11\,m$

Alice reaches 11 metres below the centre as lowest height.

7 0

2 years ago

A rock climber is climbing up a 450 feet high

zhuklara [117]

It would be 2 O'clock. Have a great day!!

6 0

2 years ago

Jordan builds a miniature catapult for the science fair. He documents how far the catapult can throw a small rock for his report

GrogVix [38]

The rate to convert yards to meters is

$1 \text{ yard}=0.9144\text{ meters}$

So, if you multiply both sides by 8, you get

$8 \text{ yards} = 8\times 0.9144 = 7.3152 \text{ meters}$

To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3

3 0

2 years ago

Read 2 more answers