Answer: The "independent variable" is the "time" (in hours) that is plotted on the "x-axis". Note the "time" (in hours) can be "manipulated" in the sense that is it "chosen" by the humans who are measuring the data (e.g. when to start, how many hours, and at what intervals.
The "dependent variable" is the measurement (in feet) above or below the sea level, and this is plotted on the "y-axis". These values cannot be "manipulated" in the sense that one cannot "choose" what value or measurement the tide level would be at any particular time.
Hope these answers—and explanations—are of help to you.
Best wishes!
First one.
Since the two angles are congruent through vertical angles theorem,
5x = 6x - 8
5x - 6x = -8
-x = -8
x = 8
Second one.
Use the 180° rule.
(8x - 2) + (2x + 2) = 180
8x - 2 + 2x + 2 = 180
8x + 2x + 2 - 2 = 180
10x = 180
x = 180 / 10
x = 18
Third one.
Vertical angle theorem.
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 40 / 2
x = 20
Answer:
Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.
Does that help?
Step-by-step explanation:
A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at each rate?
Let
x -----> amount invested at 10%
(27,000-x) -----> amount invested at 12%
we have that
0.10(x)+0.12(27,000-x)=2990 ------> equation A
solve for x
0.10x+3,240-0.12x=2,990
0.12x-0.10x=3,240-2,990
0.02x=250
x=$12,500
so
27,000-x=27,000-12,500=$14,500
therefore
amount invested at 10% ----> $12,500
amount invested at 12% -----> $14,500
Answer:
R0, 90 degrees
Step-by-step explanation:
:)
