The answers to the questions are
- The mathematical model is given as s = −16t2 + 1054
- The height after 4.5 seconds is 730 feet
- the time it would take to strike the ground is 8.11 seconds.
<h3>How to solve for the position of the object</h3>
The mathematical model of this problem would be written as
s = −16t2 + v0t + s0
s0 = 1054
then we would have
s = −16t2 + 1054
b. after 4.5 seconds the height is going to be
s = −16t2 + 1054
= −16(4.5)² + 1054
= -16 * 20.25 + 1054
= 730
C. the time that it takes to strike the ground
s = −16t² + 1054
= 16t² = 1054
t² = 1054/16
= 65.88
t = √65.88
t = 8.11
Hence the time it would take to strike the ground is 8.11 seconds.
Read more on velocity here:
brainly.com/question/4931057
#SPJ1
1. 7b + 10
2. 13x
3. 4v
4. 2 + 2k
5. 12n
6. 0
7. 8 + 12x
8. 6v + 1
9. 7n
10. 7p
11. 1
12. 18 + 5n
13. 10x + 84
14. 18p - 40
The mean - add all the numbers (data) divided by the amount. 4+3+1+1+2+4+1 =16 16/7 = 2.28
The median - the middle number.
The mode - the most common number.
Well, the answer would be square root of 3 over 2 because of the unit circle. So, the answer choice should be which ever one involved square root 3 over 2
legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
