Answer:
1 seconds after being thrown, the stone reaches its max height
Step-by-step explanation:
The parabolic (quadratic) equation is:
Lets expand this in the form 
, so we have:
We can say the values of a,b, and c, now to be:
a = -5
b = 10
c = 40
The number of seconds at which the max would occur is given by the point, x, at:
We know a and b, let's find the seconds, x,
Hence,
1 seconds after being thrown, the stone reach its max height
Answer:
D
Step-by-step explanation:
We would like to solve:
(3/4h + 4) - (1/2h + 1)
This is equivalent to:
3/4h + 4 - 1/2h - 1
First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:
3/4h - 1/2h + 4 - 1
The common denominator for 3/4 and 1/2 is 4, so:
3/4h - 1/2h = 3/4h - 2/4h = 1/4h
Put this back in:
1/4h + 4 - 1
1/4h + 3
The answer is thus D.
<em>~ an aesthetics love</em>
Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Geometric Sequence formula for general term:
an = a1(r^n-1)
a1 = 4 × (-5)^1-1
a1 = 4
r = -5
Summation formula for geometric sequence :
Sn = a1 ( 1 - r^n / 1 - r )
...<em>take n from the top of the summation.</em>
= 4 ( 1 -(-5)^6 / 1 -(-5)
= -10416.
Answer:
21.46 cm²
Step-by-step explanation:
because the question want only for the SHADED REGION but NOT AREA OF THE SQUARE
(if we just multiply 10x10. you will get the area of a square which is hundered)
To find the shaded region:
1. area of a circle is πr² (we have 4 circle there)
2. Find the area of all circle
# how do we know the radius?
- half of 10 is 5
- 5 is the diameter of each circle
- the radius is half of 5 which is 2.5
- π(2.5)² = 25/4π (area of 1 circle)
3. since we have 4 circle then, 25/4π x 4 = 25π
4. the area of the square is 100cm²
5. we want the shaded region so we have to minus the area of the circle
6. 100 - 25π (use your calculator to find the answer)
answer should be 21.46 cm²
(hope this helps)
