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emmainna [20.7K]
2 years ago
6

Find each difference and show work please !!

Mathematics
1 answer:
Ede4ka [16]2 years ago
4 0

Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3  * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))  

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21 Black tokens are in the bag

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An aeroplane is flying due north but, to avoid a storm, it flies 150km
Nataly [62]

Answer:

1) angle ABC = 80°

angle ACB = 40°

2) extra distance traveled = 122 km

Step-by-step explanation:

From the image, angle p° will be equal to 60° (alternate angles).

Angle t° will be equal to (90 - 60) = 30°.

Angle r° = (320 - 270) = 50°

Therefore angle ABC = angle (r° + t°) = (50 + 30) = 80°

BCD is a right angle triangle, therefore, the two other angles apart from the right angle must sum up to 90°.

BCD = ACB = (90 - 50) = 40°

lenght of DB is calculated as

sin 60 = DB/150

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DB = 0.866 X 150 = 129.9 km

AD^2 = 150^2 - 129.9^2 = 5625.99 km

AD = 75 km

Tan 50 = CD/129.9

1.192 =CD/129.9

CD = 129.9 X 1.192 = 154.84 km

BC^2 = 154.84^2 + 129.9^ = 40849.44

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If the plane had flown due north it would have covered AD + CD = 75 + 154.84 = 229.84 km

The divertion took a total distance of AB + BC = 150 + 202.11 = 352.11 km

The extra distance is 352.11 - 229.84 = 122.27 km

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