Answer:
It will take 1.25 seconds to reach the ground.
Step-by-step explanation:
The equation of the containers pathway can be modeled by the equation given below :

t is time in seconds
It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,


So, it will take 1.25 seconds to reach the ground.
Answer:
S and U are centres of the respective circles.
a. Three radii of Circle S : SU , SR , ST
(Lines from the centre of the circle to its circumference)
b.Three radii of Circle U : US , UR , UT
(Lines from the centre of the circle to its circumference)
c.The radii of the two circles are equal to each other as they are congruent to each other.
Answer:
perimeter = 50
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50
Answer:
B 1 1/7
Step-by-step explanation:
- 9 2/7 - ( -10 3/7)
We know subtracting a negative is like adding
- 9 2/7 +10 3/7
10 3/7 - 9 2/7
Putting this vertical
10 3/7
-9 2/7
-----------------
1 1/7
Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d(
+ 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft