Step-by-step explanation:
A flagpole is 53 feet tall. Most of the time, this will be a vertical side of the triangle.
The flagpole and the ground are perpendicular to each other so they should form the legs of the triangles, this the triangle will be a right angle.
The rope will be the hypotenuse, the side opposite of the right angle.
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190
Answer:
a
n
=
−
16
(
−
1
4
)
n
,
n
=
{
0
,
1
,
2
,
3
,
⋯
}
Step-by-step explanation:
We have the sequence
{
−
16
,
4
,
−
1
,
⋯
}
By looking at the first three terms of the sequence, we can already see a pattern.
Starting at -16, each term has its sign reversed, and is divided by 4.
Hence the sequence can be written as:
{
−
16
,
−
16
(
−
1
4
)
,
−
16
(
−
1
4
)
2
,
⋯
}
So the formula for the
n
th term of the sequence is
a
n
=
−
16
(
−
1
4
)
n
,
n
=
{
0
,
1
,
2
,
3
,
⋯
}
The point-slope form:
We have the point (-3, -1) and the slope m = 3/5. Substitute:
Answer:
point-slope form: y + 1 = 3/5(x + 3)
slope-intercept form: y = 3/5x + 4/5
standard form: 3x - 5y = -4
