Answer:
There is no solution to this answer.
Step-by-step explanation:
Leah's rate is 10x
Jason's rate is 20x
If you solve for 20x=10x, you get no solution. They are parallel lines.
CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
Answer:
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Explanation:
If the zero is c, the factor is (x-c).
So for zeros of
−
3
,
−
1
3
,
5
, the factors are
(
x
+
3
)
(
x
+
1
3
)
(
x
−
5
)
Let's take a look at the factor
(
x
+
1
3
)
. Using the factor in this form will not result in integer coefficients because
1
3
is not an integer.
Move the
3
in front of the x and leave the
1
in place:
(
3
x
+
1
)
.
When set equal to zero and solved, both
(
x
+
1
3
)
=
0
and
(
3
x
+
1
)
=
0
result in
x
=
−
1
3
.
f
(
x
)
=
(
x
+
3
)
(
3
x
+
1
)
(
x
−
5
)
Multiply the first two factors.
f
(
x
)
=
(
3
x
2
+
10
x
+
3
)
(
x
−
5
)
Multiply/distribute again.
f
(
x
)
=
3
x
3
+
10
x
2
+
3
x
−
15
x
2
−
50
x
−
15
Combine like terms.
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Midpoint
We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.
This can be visualized as follows:
Since AB=7, then BC = 7 and AC=AB+BC = 14
Answer: BC = 7, and AC=!4
Given the number of the people attending the football game, the percentage supporters for the home team is 37%.
<h3>What is Percentage?</h3>
Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
- Number of home team supporters nH = 1369
- Number of visting team supporters nV = 2331
- Percentage of supporters for home team PH = ?
For we determine the total number of people attending the football game;
nT = nH + nV
nT = 1369 + 2331
nT = 3700
Now, using the perecentage formula above, we find the Percentage of supporters for home team PH
Percentage = ( Part / Whole ) × 100%
PH = ( nH/ nT) × 100%
PH = ( 1369/ 3700) × 100%
PH = 0.37 × 100%
PH = 37%
Therefore, given the number of the people attending the football game, the percentage supporters for the home team is 37%.
Learn more about Percentages here: brainly.com/question/24159063
#SPJ1
