180 feet, cause you have already covered half the square
The sum of the interior angles of the polygon shown is 540 degrees
<em><u>Solution:</u></em>
<em><u>The sum of the measures of the interior angles of a polygon with n sides is:</u></em>
From given figure in question,
Number of sides in polygon = 5 ( which is a pentagon )
Therefore,
n = 5
<em><u>Thus the sum of measures of interior angles is:</u></em>
Thus the sum of the interior angles of the polygon shown is 540 degrees
Answer:
The center of the circle is at;
The radius of the circle is;
Explanation:
Given the equation of circle;
we want to re-write it in the form;
where;
Applying Completing the square method;
comparing the derived equation to the general form we have;
Therefore;
The center of the circle is at;
The radius of the circle is;
Answer:
- Sequon has more money after 4 weeks.
- It would take 5 weeks for their savings accounts to be equal.
Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
<u>Number of weeks it would take for both of them to have the same amount.</u>
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
<em>At 5 weeks they will both have:</em>
<em>50 + 8 * 5 = $90</em>
<em>65 + 5 * 5 = $90</em>
Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
