Answer:
Mean: 5.5555555555556
Median: 6
Mode: 6
Step-by-step explanation:
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
Answer:
The answer to your question is the third option
Step-by-step explanation:
a) 0.023x³ + 0.4x² - 2.1x + 8.3
0.023(2)³ + 0.4(2)² - 2.1(2) + 8.3
0.023(8) + 0.4(4) - 2.1(2) + 8.3
0.184 + 1.6 - 4.2 + 8.3
10.084 - 4.2
5.884
b) 0.023(4)³ + 0.4(4)² - 2.1(4) + 8.3
0.023(64) + 0.4(16) - 8.4 + 8.3
1.472 + 6.4 - 8.4 + 8.3
16.172 - 8.4
7.772
Here ya go, enjoy my answer and good luck!
