Answer:
∅ = 50°
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
You need to use Law of Sines

Here you will be doing 
a and c are the lengths, while A and C are the angles
you want to get the denominators out from underneath so multiply both sides by sinA and sin43

Now you want to get sinA alone so divide both sides by 2.54
now get A alone
put that into the calculator

Answer:
• zero: -4, -4/3, 7
• positive: -4 < x < -4/3 . . . or 7 < x
• negative: x < -4 . . . or -4/3 < x < 7
Step-by-step explanation:
Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.
The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)
Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is

Therefore the second table has an additive rate of change of 3.
Answer:
7.065
Step-by-step explanation:
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
- Side #1 = 18
- Side #2 = 2x - 3
- Side #3 = x
<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>
<u />
<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>
<u />
<u />
<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>
<u />
<em />
<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>