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Margaret [11]
3 years ago
14

Which equation satisfies all three pairs of a and b values listed in the table ?

Mathematics
2 answers:
kicyunya [14]3 years ago
3 0

Answer:

The answer is option C.

3a - b = 10

Hope this helps you

Reil [10]3 years ago
3 0
The answer is option C !
i hope i helped :)
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I need help with #6 please.
Juliette [100K]

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

7 0
3 years ago
1. Determine whether the graphs of the given equation are Parallel, perpendicular, or neither.
Juliette [100K]
1. A. parallel, because when you get y by itself it is y=-2x+7,  the two equations have the same slope which means they are parallel.

2. B. sometimes, in order for two lines to be parallel they have to have the same slope so, it is possible that two lines say with a slope of 3, those would be parallel BUT it doesn't always have to have a positive slope for it to be parallel like in question 1. 

3. C. never, If they have the same slope they are parallel despite whatever the y-intercept is.
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3 years ago
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The answer is 6√200, or on edge.

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What is X equal to? It’s not 90
alekssr [168]

Answer:

x=45

Step-by-step explanation:

180-90=90÷2=45

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-6x-x^2-8 = -(x+2) x (x+4)

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