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N76 [4]
3 years ago
7

Select the domain and range Will give 100 points

Mathematics
1 answer:
8090 [49]3 years ago
7 0
The domain is (-3,0) U (2,4)
The range is (-2,-1) U (1,2)
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The velocity of the current in a river is C = 0.6i + 0.8j km/hr. A boat moves relative to the water with velocity v=7i km/hr. a.
AnnyKZ [126]

Answer:

  a. 7.64 km/h

  b. 6.0°

  c. see below

Step-by-step explanation:

a) The total velocity of the boat is ...

  7i +(0.6i +0.8j) = 7.6i +0.8j

The magnitude of this velocity is the speed of the boat, relative to land. That is given by the Pythagorean theorem.

  |7.6i +0.8j| = √(7.6² +0.8²) = √58.4 ≈ 7.642 . . . . km/h

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b) The angle of the total velocity with respect to the "i" direction (the direction of vector v) is ...

  α = arctan(0.8/7.6) ≈ 6.009°

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c) The boat is headed in a direction 6° different from its velocity relative to the water. That may need to be accounted for if the boat is traveling any significant distance.

5 0
3 years ago
The width of a rectangle is 3 more than twice its length. the area is 35 square meters what is the length of the rectangle
defon
35=3L+3
3L=32
L=10\frac{2}{3}
THE LENGTH OF THE RECTANGLE IS 10 AND TWO THIRD METERS.
10\frac{2}{3}+2(10\frac{2}{3})+3=35
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Step-by-step explanation:

8 0
3 years ago
Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the
tankabanditka [31]

Answer:

22

Step-by-step explanation:

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∠A and ∠B are supplementary, and ∠A and ∠C are supplementary. Which conclusion is valid? Select one: A. ∠B and ∠C are supplement
zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

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4 years ago
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