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Bezzdna [24]
3 years ago
7

What is the range of the following data 7,5,9,10,1,2,2,8​

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

9

Step-by-step explanation:

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Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for
nataly862011 [7]

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

5 0
3 years ago
A website charges the same shipping fee on every order
Irina18 [472]

Answer:

. ....

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10
Leto [7]

Answer:

10x^2 + 7x - 1

Step-by-step explanation:

Step 1: Build the expression in numerical form.

  • (8x^2 +10x - 10) - (-2x^2 + 3x - 9)

Step 2: Distribute the negative sign.

  • 8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)
  • 8x^2 + 10x - 10 + 2x^2 + (-3x) + 9  

Step 3: Combine like terms.

  • (8x^2 +2x^2) + (10x -3x) + (-10+9)
  • 10x^2 +7x -1

Therefore, the answer is 10x^2 + 7x -1.

4 0
2 years ago
Subtract 7 2/9 - 1 5/6
fiasKO [112]

Answer:5 7/18

Step-by-step explanation:

7 2/9 - 1 5/6

65/9-1 5/6

65/9-11/6

97/18

5 7/18

5 0
3 years ago
Read 2 more answers
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