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navik [9.2K]
3 years ago
6

Question down below¡

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
Pattern A starts with 20 and substracts 3
First number = 20
Second number = 20 - 3 = 17
Third number = 17 - 3 = 14
Fourth number = 14 - 3 = 11

Pattern B starts with 10 and adds 2
First number = 10
Second number = 10 + 2 = 12
Third number = 12 + 2 = 14
Fourth number = 14 + 2 = 16

Now join pattern A and B
First combination = (20,10)
Second combination = (17,12)
Third combination = (14, 14)
Fourth combination = (11, 16)

The answer is d. (20,10), (17,12), (14,14), (11,16)
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For which value of theta is sin theta equals -1?
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Answer:

The value of Ф is 3π/2

Step-by-step explanation:

* Lets revise the angle Ф in the four quadrant

∵ r = √(x² + y²) ⇒ square the two sides

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∵ r = 1

∴ x² + y² = 1

∵ cos² Ф + sin² Ф = 1

∵ x is the adjacent side to Ф and y is the opposite side to Ф

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∵ x = 1 , y = 0

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∵ The positive part of x-axis represents the angle 0 and 2π

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∵ x = 0 , y = 1

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∴ cos π/2 is 0 and sin π/2 is 1

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∵ x = -1 , y = 0

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∵ The negative part of x-axis represents the angle π

∴ cos π is -1 and sin π is 0

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∵ x = 0 , y = -1

∴ cos Ф = 0 and sin Ф = -1

∵ The negative part of y-axis represent the angle 3π/2

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* For the value of Ф = 3π/2 is sin Ф = -1

6 0
3 years ago
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Question 11
Anarel [89]

Answer:

the trainee calculated the incorrect amount

It should be 0.5 mL

Step-by-step explanation:

The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.  

The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.

To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:

the volume needed = amount of the drug you need/ concentration of the drug

volume needed =  500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL

8 0
3 years ago
Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t
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Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

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