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Natali5045456 [20]
3 years ago
7

What is 28,000 have in common with 27,000

Mathematics
2 answers:
ratelena [41]3 years ago
8 0
They are both in the ten thousands place
xeze [42]3 years ago
6 0
They both have 3 zeros and into the tens place
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50
ozzi

Answer:

90 km, N 46° E

Step-by-step explanation:

<em>A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.</em>

Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).

This will be the jet's distance from its starting point.

In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.

The <u>Law of Cosines</u> will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.

In this case, the known angle is 110° (angle B) so we will use the <u>Law of Cosines</u> respective to B.

  • b² = a² + c² - 2ac cosB

Substitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).

  • b² = (60)² + (50)² - 2(60)(50) cos(110°)
  • b² = 6100 -(-2052.12086)
  • b² = 8152.12086
  • b = 90.28909602
  • b ≈ 90 km

The distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.

The <u>Law of Cosines</u> with respect to A:

  • a² = b² + c² - 2bc cosA

Substitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).

  • (60)² = (90.28909602)² + (50)² - 2(90.28909602)(50) cosA
  • 3600 = 8152.12086 - 6528.909602 cosA
  • -4552.12086 = -6528.909602 cosA
  • 0.6972252853 = cosA
  • A = cos⁻¹(0.6972252853)
  • A = 45.79519
  • A ≈ 46°

The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.

7 0
2 years ago
740% as a mixed number
alex41 [277]
740% as a fraction is 37/5.
37/5 as a mixed number is 7 2/5.

Hope this helps! Good luck.
5 0
3 years ago
Please help. is due today. Thank you​
Alborosie

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

3 0
3 years ago
Write 10 toolbars on the keyboard​
posledela

Answer:

WINKEY + D. ...

WINKEY + SPACE. ...

SHIFT + Mouse Click on a taskbar button. ...

CTRL + SHIFT + Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a grouped taskbar button. ...

CTRL + Mouse Click on a grouped taskbar button. ...

WINKEY + T.

ctrl + X = cut

ctrl + c = copy

make me brainliest

3 0
3 years ago
PLEASE HELP!!
Ratling [72]

All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).

These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

\dfrac{1}{52}\approx 0.019 = 1.9\%

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

\dfrac{8}{52}=\dfrac{2}{13}\approx 0.154 = 15.4\%

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

\dfrac{2}{5}=0.4=40\%

3 0
3 years ago
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