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babunello [35]
3 years ago
8

Please can someone help me?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

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If sin theta= -5/7, which of the following are possible?
almond37 [142]
A) cos θ = -(√24)/7 and tan θ = 5/√24 and 
B) sec θ = 7/(√24) and tan θ = -5/(√24)

Sine is the ratio of the opposite side of an angle to the hypotenuse.  Since sin θ = -5/7, the opposite side is -5 and the hypotenuse is 7.

For A, if the cosine is -√24/7, and the sine was -5/7, then the opposite/adjacent, tangent, would be -5/-(√24).  However, two negatives divided make a positive, so the tangent would be 5/√24.

For B:  the secant is 1/cos.  This means it is the reciprocal, or flip, of the cosine.  Instead of A/H, sec = H/A.  This means the hypotenuse is 7 and the adjacent side is √24.  Tangent = opposite/adjacent; this gives us -5/√24.

For C:  the secant, H/A, is -7/5.  This means the tangent, O/A, would be -5/5 = -1.  This is incorrect.

For D:  the cosine, A/H, is √24/7.  This means the tangent, O/A, would be -5/√24; this is incorrect.
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3 years ago
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dimulka [17.4K]

what I don't understand

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This is the question ​
Sonja [21]

Answer:

The first option: As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Let's focus on the right part of the graph. Notice that at x = 1, the line is on the negative y-axis. The same thing happens to when we locate x = 2, it still continues to go down approaching negative infinity.

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Answer:

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Step-by-step explanation:

The population will be the product of the 1930 value and the multiplier for each year, applied a number of times equal to the number of years. The multiplier (growth factor) will be (1 +growth rate) = 1 +2.47% = 1.0247. An exponent is used to say how many times this multiplier is applied to the initial value:

  p(x) = 12.32(1.0247^x) . . . . . population in millions x years after 1930

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zlopas [31]

Answer:

3/4

Step-by-step explanation:

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