A toy rocket was shot into the air. The graph below represents the height over the time of the rocket. Which of the following ar
e true? Select all that apply.
A. The rocket was launched from a platform 4.9 feet above the ground
B. The rocket reached a maximum height of 59 feet
C. It took the rocket 3.5 seconds to reach its maximum height
D. The rocket landed after 34 seconds
E. The equation that represents the rocket’s height over time has two solutions
A. The rocket was launched from a platform 4.9 feet above the ground
B. The rocket reached a maximum height of 59 feet
C. It took the rocket 3.5 seconds to reach its maximum height
D. The rocket landed after 34 seconds
E. The equation that represents the rocket’s height over time has two solutions
2 answers:
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Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere =
radius is given as 4, so,
Volume of Hemisphere =
Now, Volume of Cone =
Where radius is 4 and height is 10, so,
Volume of Cone =
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere =
Surface Area of Cone =
We dont need to use the first part, since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone =
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters
Answer:
Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):
This can also be seen as:
Distribute the -1 to (6x-3y):
Simplify the parentheses:
Group like terms:
Combine:
This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done