Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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Answer:
23:600
24
a12
b27
c36
d45
Step-by-step explanation:
Simplify by combing like terms to get 2x+5
The answers would be:
the coefficient is 2
the constant is 5
There are two terms.
Slant height of tetrahedron is=6.53cm
Volume of the tetrahedron is=60.35
Given:
Length of each edge a=8cm
To find:
Slant height and volume of the tetrahedron
<u>Step by Step Explanation:
</u>
Solution;
Formula for calculating slant height is given as
Slant height=
Where a= length of each edge
Slant height=
=
=
=6.53cm
Similarly formula used for calculating volume is given as
Volume of the tetrahedron=
Substitute the value of a in above equation we get
Volume=
=
=
Volume=
=60.35
Result:
Thus the slant height and volume of tetrahedron are 6.53cm and 60.35
Answer: (b)
Step-by-step explanation:
Given
The letter "BHUTAN" has to be arranged
For filing the first place of 6 letter word, we have 6 choices
Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.
In this way, the remaining places can be filled in 4, 3, 2, and 1 way
On combining the above, 6 places can be filled in
Thus, option (b) is correct.
