Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer:
216 degrees
Step-by-step explanation:
Given that ABCDE is a regular pentagon.
Hence each angle would equal = {2(5)-4}/5 right angles
=6(90)/5 =108 degrees
Since regular pentagon rotation will not disturb the shape.
When counterclockwise rotated, if 108 degrees rotated A would become E.
For another 108 degrees A would come to D
Hence angle required for rotation for A to coincide with D = 2(108)
=216 degrees
Answer:
x=6
Step-by-step explanation:
I would look at this triangle and notice that x can be solved by setting up a ratio.
I generally put the short side of the triangle on the top and the long side on the bottom
4/x = x/9
You then cross multiply to get 36=x^2, or +-6=x
A length of a triangle cannot be negative, so we are left with the answer x=6
Let the total number of questions in the math test be defined by the variable x.
Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.
The information we have above can be expressed as an equation given below:
70% of x=35
This can be rewritten as:
Thus, to find the total number of questions we will have to isolate x.
Therefore, there were a total of 50 questions in the math test.
Answer:
7 ( b + 4 ) = 9
Step-by-step explanation:
Let the number be = b
It is given that the :
The number is added to 4.
And the value is equal to 9 when it is 7 times the sum of the number, b and 4.
Thus according to the question, the sentence can be translated in equation form as :
7 ( b + 4 ) = 9
Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.
