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maxonik [38]
3 years ago
6

Solve the conjunction and describe the solution set.

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0
 -5 ≤ 3m + 1 < 4
- 1           - 1  - 1
 -6 ≤ 3m < 3
  3      3     3
 -2 ≤ m < 1

Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)

The answer is A.
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Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.
WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

5 0
3 years ago
The triangle is rotated 90 degrees clockwise around the pount (0,0)
Whitepunk [10]

Answer:

(2,6)

Step-by-step explanation:

Option:B

The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).

6 0
3 years ago
Sarah is currently making $31,000 a year at her job and has been offered a raise to $33,170 per year. What would be the percent
erastova [34]

Answer:

  7%

Step-by-step explanation:

The percentage increase is found as ...

  increase/original × 100%

  = (33170 -31000)/31000 × 100%

  = 2170/31000 × 100% = 7%

Sarah's increase would be 7%.

5 0
3 years ago
4023×40 pls help now thanks alot
Mazyrski [523]
You can put this into a calculator
But the answer is 160920
3 0
3 years ago
Which is the equation for line AB
miskamm [114]

The equation for line AB would be x = -5 but It looks like it is asking for line AD.

The equation of line AD can be written in slope-intercept form y=mx+b, m being the slope and b the y intercept.

The y intercept would be point D since it is on the y axis. The y intercept would be (0,6) or 6 in the equation.

The slope can be calculated by the slope formula which is m = y2-y1/x2-x1

For the slope form we have to plug in both points A and D

6-1 over 0+5 y x

The slope is y/x and 6-1=5 and 0+5=5. This means that the slope is 5/5 or just 1. Now that we have the slope, we can form the equation y=x+6.

Since we have to turn it into standard form, we move x to the other side of the equation using Subtraction property of equality to get as the final answer

-x+y=6

8 0
4 years ago
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