Hello!
10 seconds to return to the ground.
7 seconds to reach 576 feet above the ground.
Find the amount of time taken to reach the ground by setting the equation equal to 0:
0 = -16t² + 80t + 800
Factor out -16 from the equation:
0 = -16(t² - 5t - 50)
Factor the terms inside of the parenthesis:
0 = -16(t - 10)(t + 5)
Find the zeros:
t - 10 = 0
t = 10
t + 5 = 0
t = -5
Time can only be positive in this instance, so the correct answer is 10 sec.
Find the time by substituting in 576 for the height:
576 = -16t² + 80t + 800
Subtract 800 from both sides:
-224 = -16t² + 80t
Rearrange:
0 = -16t² + 80t + 224
Simplify:
0 = -16(t² - 5t - 14)
0 = -16(t - 7)(t + 2)
t = 7 seconds.
Answer: There are 8 students at Hamilton Middle School with red hair.
Step-by-step explanation:
Given: The proportion of the students at Hamilton Middle School have red hair = 2% = 0.02
Total students in Hamilton Middle School = 400
Then , the number of students have red hair = (proportion of the students have red hair ) x (Total students )
= (0.02) x (400)
= 8
Hence, there are 8 students at Hamilton Middle School with red hair.
Answer:
x = 1/3
Step-by-step explanation:
Move all terms containing x to the left side of the equation.
8+6x=10
Move all terms not containing x to the right side of the equation
6x=2
Divide each term by 6 and simplify.
Exact Form:
x=1/3
Decimal Form:
x=0.3333333333
Hope this helps!
If the slice is made parallel to the base, then if the base is a rectangle, the cross-section would be A. rectangle
Answer:
3 1/5
Step-by-step explanation:
8/1 = 8
8/1 * 2/5 = 16/5
16/5 = 3 1/5
