32 ft
this is meters per second >>> 9.7536
Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.
Answer:
Y= 3x-7
Step-by-step explanation:
Since the line is parallel , the slope is same i.e. 3 .
now the equation should be y= Mx + b where m is the slope and c is the y-intercept
plugging the value of m=3 and ( 3,2) into the equation
2= 3(3) + c
2= 9+ c
c= -7
hence the equation of the line is y=3x-7
B. Add -12x to both sides. Then divide all terms by -2. The positive 12 on the right side will be a -6 and the -42 will be a positive 21. The inequality sign is always switched whenever the equation is divided by a negative number.
9514 1404 393
Answer:
- 320 m after 8 seconds
- 5.6 seconds, 10.4 seconds to height of 290 m
Step-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
__
To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.