14 times 24=336 and that means that 1/14 is14 in whole numbers
As AB is a diameter, then m∠CBA=180^{0}-75^{0}=105^{0}.
∠CBA is a central angle, so its measure multiplied by radius is the length of arc AC.
Note that
and
. Then
and length of the arc is
.The correct answer is 22 in.
9514 1404 393
Answer:
8. C) 24.2
9. A) 8.1
Step-by-step explanation:
8. The radius is shown as being 7.8 +4.3 = 12.1, so the diameter x is ...
d = 2r
x = 2(12.1) = 24.2
__
9. The unknown leg (y) of the right triangle can be found from the Pythagorean theorem.
y² +11.7² = 12.5² . . . . . the radius is half the diameter
y = √(156.25 -136.89) = √19.36 = 4.4
Then the segment of interest is ...
x + y = 12.5
x = 12.5 -4.4 = 8.1
You need to understand Rise over Run (r/r) to find these equations.
Rise over run works by counting how far a point on the line is from another.
You do this by first counting how much higher or lower a point is from another then how far it is from the left or right side.
So to answer the equation for #2,
Your Rise over Run is: 3/4
Which translates to Y = 4x + 3
Finding line #1 is actually much easier. All you need to know is how far up it is, which is 8 units
So that’s just Y = 8
Finding a slope parcel to the 2nd line is a lot easier than you might think.
We know the slope of line #2 is Y = 4x + 3.
Parallel means if two lines were next to each other and kept going, they won’t intercept. Like the equals sign, =.
So to find a parallel line, you can just add or subtract the same number from Y to X
Y = 4x + 3
4x + 2 = 6x
3 + 2 = 5
=
Y = 6x + 5
Answer:
a. 12 - 8x - x² + x³
b. 275 - 375x - 351x² + 240x³ + 112x⁴
c. 30 + 37m - m² - 25m³ - 14m⁴ + 3m⁵
d. 81 + 9x² + x⁴
Step-by-step explanation:
Tabular method is what I hear people call "Partial Products". Alright. All you have to do is look at how many terms are in each factor, break them up separately into columns and rows, then do your multiplication. This is the best example you will get, and just so you know, it is NOT drawn to scale [IMPERFECT]:
d.
9 | -3x | x²
------|-------|-----
9 | 81 | -27x | 9x²
____________________
3x | 27x| -9x² | 3x³
| | |
____________________
x² |9x² | -3x³ | x⁴
| | |
Add up all the boldfaced terms inside the box, and you will get the above answer.
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