Answer:
96
Step-by-step explanation:
Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,
Multiply both sides by 12.
Therefore, the height of the triangle is 
cm.
Answer:
The answer is C.
Step-by-step explanation:
It cannot be between 3 and 4 because 2/3 is less than 1. You cannot end up with a larger number than 3 in this case. Similarly, it cannot be less than 2/3 because you are multiplying it by 3, which is larger than your first number.
Therefore, it has to be between 3 and 2/3 because you are taking two thirds of 3, which is 2.
Answer:
Cone.
Step-by-step explanation:
From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.
The following attributes help as to decide that the hat is a cone:
1. Hat and cone both have one vertex.
2. Hat and cone both have one circular base.
Therefore, the hat is look like cone.
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.
